%!PS-Adobe-3.0
%%Title: (distclock.fm)
%%Creator: (FrameMaker+SGML 5.5 PowerPC: AdobePS 8.5.1)
%%CreationDate: (11:37 PM Thursday, February 17, 2000)
%%For: (The Bishops)
%%Routing: (mailto:\000email@domain.com)
%%Pages: 10
%%DocumentFonts: Times-Roman
%%+ Times-Bold
%%+ Times-Italic
%%+ Symbol
%%+ Times-BoldItalic
%%DocumentNeededResources: font Times-Roman Times-Bold Times-Italic Symbol Times-BoldItalic
%%DocumentSuppliedResources:
%%DocumentData: Clean7Bit
%%PageOrder: Ascend
%%Orientation: Portrait
%%DocumentMedia: Default 612 792 0 () ()
%RBINumCopies: 1
%RBINupNess: 1 1
%ADO_ImageableArea: 30 33 582 761
%%BoundingBox: 0 0 612 792
%%DocumentProcessColors: Cyan Magenta Yellow Black
%%DocumentCustomColors: (Red)
%%+ (Green)
%%+ (Blue)
%%CMYKCustomColor: 0 1 1 0 (Red)
%%+ 1 0 1 0 (Green)
%%+ 1 1 0 0 (Blue)
%%EndComments
%%BeginDefaults
%%ViewingOrientation: 1 0 0 1
%%EndDefaults
userdict/dscInfo 5 dict dup begin
/Title(distclock.fm)def
/Creator(FrameMaker+SGML 5.5 PowerPC: AdobePS 8.5.1)def
/CreationDate(11:37 PM Thursday, February 17, 2000)def
/For(The Bishops)def
/Pages 10 def
end put
%%BeginProlog
/md 207 dict def md begin/currentpacking where {pop /sc_oldpacking currentpacking def true setpacking}if
%%BeginFile: lw8_feature-1.01
%%Copyright: Copyright 1990-1998 Adobe Systems Incorporated and Apple Computer Incorporated. All Rights Reserved.
/bd{bind def}bind def
/ld{load def}bd
/xs{exch store}bd
/Z{0 def}bd
/T true def
/F false def
/level2
/languagelevel where
{
pop languagelevel 2 ge
}{
F
}ifelse
def
/odictstk Z
/oopstk Z
/fcl
{
count oopstk sub dup 0 gt
{
{pop}repeat
}{
pop
}ifelse
countdictstack odictstk sub dup 0 gt
{
{end}repeat
}{
pop
}ifelse
}bd
/sfcl2
{
/odictstk countdictstack store
count/oopstk xs
}bd
/efcl2
{
stopped{$error/newerror F put}if
fcl
}bd
/noload Z
/startnoload
{
{/noload save store}if
}bd
/endnoload
{
{noload restore}if
}bd
/setcopies{
level2
{
1 dict begin/NumCopies exch def currentdict end setpagedevice
}{
userdict/#copies 3 -1 roll put
}ifelse
}def
level2 startnoload
/ststpgdev{}def
/dopgdev{}def
/stpgdev{}def
/buf Z
/didstop T def
/sfcl
{
/didstop T store
/odictstk countdictstack store
count/oopstk xs
currentfile cvx stopped
{
$error/newerror F put
didstop
{
save/didstop xs
/buf vmstatus exch sub exch pop dup 0 lt{pop 0}if
dup 64000 gt{pop 64000}if string store
{
currentfile buf readline
{
(}efcl)eq{exit}if
}{
/UnexpectedEOF errordict/rangecheck get exec
}ifelse
}loop
didstop restore
}if
}if
fcl
}bd
/efcl
{
/didstop F store
exec
stop
}bd
level2 endnoload level2 not startnoload
/setpagedevice where{pop/realstpgdev/setpagedevice ld}if
/SC_topddict Z
/SC_spdict Z
/$spusrdict F def
/dopgdev
{
userdict/setpagedevice undef
$spusrdict
{
userdict/setpagedevice/realstpgdev load put
/$spusrdict F store
}if
SC_topddict realstpgdev
}bd
/stpgdev
{
SC_topddict dup 3 -1 roll
{
SC_spdict 2 index known
{
SC_spdict 2 index get
dup 3 -1 roll
{
put dup
}forall
pop put dup
}{
put dup
}ifelse
}forall
pop pop
}bd
/ststpgdev
{
/setpagedevice where
{
userdict eq
{
/$spusrdict T store
}if
}if
userdict/setpagedevice/stpgdev load put
/SC_topddict 0 dict store
/SC_spdict 3 dict begin
/InputAttributes 0 dict def
/Policies 0 dict def
/OutputAttributes 0 dict def
currentdict
end
store
}def
/sfcl/sfcl2 ld
/efcl/efcl2 ld
level2 not endnoload
%%EndFile
%%BeginFile: lw8_basic-3.0
/xdf{exch def}bd
/:L/lineto
/lw/setlinewidth
/:M/moveto
/rl/rlineto
/rm/rmoveto
/:C/curveto
/:T/translate
/:K/closepath
/:mf/makefont
/gS/gsave
/gR/grestore
/np/newpath
12{ld}repeat
/framewidth -1 def
/QDframwid -1 def
/numframes Z
/mTS matrix def
/$m matrix def
/av 86 def
/por T def
/normland F def
/psb-nosave{}def
/pse-nosave{}def
/us Z
/psb{/us save store}bd
/pse{us restore}bd
/level3
/languagelevel where
{
pop languagelevel 3 ge
}{
F
}ifelse
def
level2 startnoload
/setjob
{
statusdict/jobname 3 -1 roll put
}bd
/devg/DeviceGray def
/devr/DeviceRGB def
/devc/DeviceCMYK def
level2 endnoload level2 not startnoload
/setjob
{
1 dict begin/JobName xdf currentdict end setuserparams
}bd
/devg[/DeviceGray]def
/devr[/DeviceRGB]def
/devc[/DeviceCMYK]def
level2 not endnoload
/pm Z
/mT Z
/sD Z
/initializepage
{
mT $m currentmatrix mTS concatmatrix pop
/pm save store mT concat
}bd
/endp
{
pm restore
}bd
/adjRect
{
dup 2 mul 6 2 roll
4 index sub exch 5 -1 roll sub exch
4 2 roll
4 index add exch 5 -1 roll add exch
4 2 roll
}bd
/frame1up
{
gS
mTS setmatrix
QDframwid lw
/setstrokeadjust where{pop T setstrokeadjust}if
clippath pathbbox
2 index sub exch
3 index sub exch
currentlinewidth framewidth mul
adjRect
numframes dup 0 lt{pop 0}if
{
4 copy
rS
currentlinewidth framewidth
mul 4 mul
adjRect
}repeat
pop pop pop pop
gR
}bd
/$c devr def
/rectclip where
{
pop/rC/rectclip ld
}{
/rC
{
np 4 2 roll
:M
1 index 0 rl
0 exch rl
neg 0 rl
:K
clip np
}bd
}ifelse
/rectfill where
{
pop/rF/rectfill ld
}{
/rF
{
gS
np
4 2 roll
:M
1 index 0 rl
0 exch rl
neg 0 rl
fill
gR
}bd
}ifelse
/rectstroke where
{
pop/rS/rectstroke ld
}{
/rS
{
gS
np
4 2 roll
:M
1 index 0 rl
0 exch rl
neg 0 rl
:K
stroke
gR
}bd
}ifelse
%%EndFile
level3 startnoload
%%BeginFile: lw8_safeclipL12-1.0					
/rectclip where
{
pop/rCa/rectclip ld
}{
/rCa
{
np 0
1 index length 4 idiv
{
2 copy
4 getinterval
aload pop
4 2 roll
:M
1 index 0 rl
0 exch rl
neg 0 rl
:K
4 add
}repeat
clip np
pop pop
}bd
}ifelse
/savedstack Z
/subsavedstack Z
/execstring Z
/saferCa
{
/execstring xs
/odictstk countdictstack store
/oopstk 0 store
count 0 ne
{
savedstack 0 eq{
count 100 gt{count}{100}ifelse
array/savedstack xs
}{
count savedstack length gt
{
count array/savedstack xs
}if
}ifelse
count savedstack 0 3 -1 roll
getinterval
astore/subsavedstack xs
}{
/subsavedstack 0 store
}ifelse
execstring cvx stopped
{
$error/newerror F put
newpath
}if
fcl
subsavedstack 0 ne{
subsavedstack aload pop
}if
}bd
%%EndFile
level3 endnoload level3 not startnoload
%%BeginFile: lw8_safeclipL3-1.0	
/saferCa/pop ld
%%EndFile
level3 not endnoload
%%BeginFile: lw8_level1_colorspace-2.0
/G/setgray ld
/:F1/setgray ld
/:F/setrgbcolor ld
/:F4/setcmykcolor where
{
pop
/setcmykcolor ld
}{
{
3
{
dup
3 -1 roll add
dup 1 gt{pop 1}if
1 exch sub
4 1 roll
}repeat
pop
setrgbcolor
}bd
}ifelse
/:Fx
{
counttomark
{0{G}0{:F}{:F4}}
exch get
exec
pop
}bd
/$cs Z
/:rg{devr :ss}bd
/:sc{$cs :ss}bd
/:dc
{
dup type/arraytype eq{0 get}if
dup/DeviceCMYK eq
{
pop devc
}{
/DeviceGray eq
{
devg
}{
devr
}ifelse
}ifelse
/$cs xdf
}bd
/:sgl{}def
/:dr{}bd
/:fCRD{pop}bd
/:ckcs{}bd
/:ss{/$c xdf}bd
%%EndFile
%%BeginFile: lw8_bubn-2.1
/$t Z
/$p Z
/$s Z
/$o 1. def
/2state? F def
/ps Z
level2 startnoload
/pushcolor/currentrgbcolor ld
/popcolor/setrgbcolor ld
/setcmykcolor where
{
pop/currentcmykcolor where
{
pop/pushcolor/currentcmykcolor ld
/popcolor/setcmykcolor ld
}if
}if
level2 endnoload level2 not startnoload
/pushcolor
{
currentcolorspace $c eq
{
currentcolor currentcolorspace T
}{
currentcmykcolor F
}ifelse
}bd
/popcolor
{
{
setcolorspace setcolor
}{
setcmykcolor
}ifelse
}bd
level2 not endnoload
/pushstatic
{
2state?
$o
$t
$p
$s
$cs
ps
}bd
/popstatic
{
/ps xs
/$cs xs
/$s xs
/$p xs
/$t xs
/$o xs
/2state? xs
}bd
/pushgstate
{
currentpoint
pushcolor
currentlinewidth
currentlinecap
currentlinejoin
currentdash exch aload length
np clippath pathbbox
$m currentmatrix aload pop
}bd
/popgstate
{
$m astore setmatrix
2 index sub exch
3 index sub exch
rC
array astore exch setdash
setlinejoin
setlinecap
lw
popcolor
np :M
}bd
/bu
{
errordict/nocurrentpoint{pop 0 0}put
2state?
{
pushgstate
gR
}if
pushgstate
gR
pushgstate
pushstatic
pm restore
mTS setmatrix
}bd
/bn
{
/pm save store
popstatic
popgstate
gS
popgstate
2state?
{
gS
popgstate
}if
}bd
/cpat{pop 64 div setgray 8{pop}repeat}bd
%%EndFile
%%BeginFile: lw8_basic_text-2.1
/S/show ld
/A{
0.0 exch ashow
}bd
/R{
0.0 exch 32 exch widthshow
}bd
/W{
0.0 3 1 roll widthshow
}bd
/J{
0.0 32 4 2 roll 0.0 exch awidthshow
}bd
/V{
0.0 4 1 roll 0.0 exch awidthshow
}bd
/fcflg T def
/fc{
fcflg{
vmstatus exch sub 50000 lt{
(%%[ Warning: Running out of memory ]%%\r)print flush/fcflg F store
}if pop
}if
}bd
/$f[1 0 0 -1 0 0]def
/:ff{$f :mf}bd
/MacEncoding StandardEncoding 256 array copy def
MacEncoding dup 9/space put dup 39/quotesingle put 96/grave put
/Adieresis/Aring/Ccedilla/Eacute/Ntilde/Odieresis/Udieresis/aacute
/agrave/acircumflex/adieresis/atilde/aring/ccedilla/eacute/egrave
/ecircumflex/edieresis/iacute/igrave/icircumflex/idieresis/ntilde/oacute
/ograve/ocircumflex/odieresis/otilde/uacute/ugrave/ucircumflex/udieresis
/dagger/degree/cent/sterling/section/bullet/paragraph/germandbls
/registered/copyright/trademark/acute/dieresis/notequal/AE/Oslash
/infinity/plusminus/lessequal/greaterequal/yen/mu/partialdiff/summation
/product/pi/integral/ordfeminine/ordmasculine/Omega/ae/oslash
/questiondown/exclamdown/logicalnot/radical/florin/approxequal/Delta/guillemotleft
/guillemotright/ellipsis/space/Agrave/Atilde/Otilde/OE/oe
/endash/emdash/quotedblleft/quotedblright/quoteleft/quoteright/divide/lozenge
/ydieresis/Ydieresis/fraction/Euro/guilsinglleft/guilsinglright/fi/fl
/daggerdbl/periodcentered/quotesinglbase/quotedblbase/perthousand
/Acircumflex/Ecircumflex/Aacute/Edieresis/Egrave/Iacute/Icircumflex/Idieresis/Igrave
/Oacute/Ocircumflex/apple/Ograve/Uacute/Ucircumflex/Ugrave/dotlessi/circumflex/tilde
/macron/breve/dotaccent/ring/cedilla/hungarumlaut/ogonek/caron
MacEncoding 128 128 getinterval astore pop
level2 startnoload
/copyfontdict
{
findfont dup length dict
begin
{
1 index/FID ne{def}{pop pop}ifelse
}forall
}bd
/$ckeyd md def
/:skey
{
1 index maxlength 2 index
length sub
ge
{
begin
/$mkeys 20 dict def
/$mkeys load
end
dup/$ckeyd xs
}if
3 1 roll put
}bd
/fD1pass
{
40
$ckeyd
//md
ne
{
pop 1
}if
$ckeyd exch
:skey
}bd
/:searchdict Z
/:searchdict
{
exch 2 copy
known
{
get
}{
exch/$mkeys
get
:searchdict
}ifelse
}bd
/lU
{
//md exch 2 copy
known
{
get
}{
exch
/$mkeys get
:searchdict
}ifelse
}bd
/:xs{
exch 0 1 2 index length 1 sub{
3 copy
gsave 1 getinterval show grestore
exch
get 0.0
rmoveto
}for pop pop
}bd
/:ys{
exch 0 1 2 index length 1 sub{
3 copy
gsave 1 getinterval show grestore
exch
get 0.0 exch
rmoveto
}for pop pop
}bd
/:xys{
exch 0 1 2 index length 1 sub{
3 copy
gsave 1 getinterval show grestore
exch 2 mul 2 copy
1 add get 3 -2 roll get exch
rmoveto
}for pop pop
}bd
level2 endnoload level2 not startnoload
/copyfontdict
{
findfont dup length dict
copy
begin
}bd
/fD1pass/def ld
/lU/load ld
level2{
/:xs/xshow ld
/:ys/yshow ld
/:xys/xyshow ld
}if
level2 not endnoload
/fD Z
/sf Z
/scf Z
/sf1pass
{
lU setfont
}bd
/scf1pass
{
exch lU exch scalefont fD
}bd
/scf2pass
{
scalefont fD
}bd
md/fontname known not{
/fontname/customfont def
}if
/Encoding Z
/:mre
{
copyfontdict
/Encoding MacEncoding def
fontname currentdict
end
definefont :ff fD
}bd
/:bsr
{
copyfontdict
/Encoding Encoding 256 array copy def
Encoding dup
}bd
/pd{put dup}bd
/:esr
{
pop pop
fontname currentdict
end
definefont :ff fD
}bd
/ps Z
/fz{/ps xs}bd
/cF/currentfont ld
/mbf
{
/makeblendedfont where
{
pop
makeblendedfont
/ABlend exch definefont
}{
pop
}ifelse
fD
}def
%%EndFile
/currentpacking where {pop sc_oldpacking setpacking}if end
%%EndProlog
%%BeginSetup
md begin
/fD/def ld/sf/setfont ld /scf/scf2pass ld
 600/languagelevel where{pop languagelevel 2 ge}{false}ifelse{1 dict dup/WaitTimeout 4 -1 roll put setuserparams}{statusdict/waittimeout 3 -1 roll put}ifelse
sfcl{
%%BeginFeature: *InputSlot OnlyOne

%%EndFeature

}efcl

sfcl{
792.008
612.006
1
0
0
%%BeginFeature: *CustomPageSize True

   4 dict begin
   3 1 roll
   2 array astore /PageOffset exch def
   2 mod 0 eq {exch} if
   2 array astore /PageSize exch def
   /ImagingBBox null def
   currentdict end setpagedevice
%%EndFeature

}efcl

sfcl{
%%BeginFeature: *Resolution 600dpi
1 dict dup /HWResolution [600 600] put setpagedevice
%%EndFeature

}efcl

(The Bishops)setjob
/mT[1 0 0 -1 30 761]def
/sD 16 dict def
%%IncludeResource: font Times-Roman
/f133/Times-Roman
:mre
/f148 f133 10 scf
%%IncludeResource: font Times-Bold
/f161/Times-Bold
:mre
/f175 f161 18 scf
%%IncludeResource: font Times-Italic
/f188/Times-Italic
:mre
/f203 f188 10 scf
%%IncludeResource: font Symbol
/f225/Symbol
:bsr
240/apple pd
:esr
/f237 f225 10 scf
/f250 f188 8 scf
/f263 f161 12 scf
/f276 f133 8 scf
/f289 f188 12 scf
%%IncludeResource: font Times-BoldItalic
/f302/Times-BoldItalic
:mre
/f319 f302 10 scf
/f332 f302 8 scf
/f345 f161 10 scf
{/Courier findfont[10 0 0 -10 0 0]:mf setfont}stopped{$error/newerror F put}if
% PostScript Prolog for use with Macintosh Frame Products 5.5
% Copyright (c) 1986-98 Adobe Systems Inc.  All rights reserved.
%%BeginProcSet: "FrameMacDict" 556 12
userdict/FrameMacDict 250 dict put FrameMacDict begin systemdict/setpacking
known{/fMSP currentpacking def true setpacking}if[/fM1/fMi1/fMi2/fM2/fM3/fMcl
/fMAB/fM5/fM6/fM0/fM8/fM9/fMBC/fMC/fMCD/fMCK/fMCR/fMCS/fMib/fMCN/fMCE/fMCO/fMef
/fMet/fMeh/fMew/fMey/fMex/fMei/fMej/fMek/fMel/fMeb/fMGC/fMGL/fMGM/fMIT/fMIx
/fMJB/fMJC/fMJG/fMJK/fMJM/fMJR/fMJY/fMK/fML1/fMM/fMCP/fMNC/fMNg/fMND/fMOx/fMPC
/fMPG/fMPH/fMPt/fMRC/fMS/fMSJ/fMUC/fMUM/fMUY/fMY/fMdm/fMax/fMa2/fMi/fMk/fMSD
/fMcu/fMsg/fms/fMTV/fmBS/fMdp/freq/sangle/sflipx/sflipy/pflipx/pflipy/xx/yy
/xindex/yindex/fM1B/fM0B/fMdc/fMds]{0 def}forall/T true def/F false def/FmBD{
bind def}bind def/fmXD{exch def}FmBD/fmBx{dup length exch{dup/FrameMacDict eq{
pop FrameMacDict}{dup type dup/arraytype eq exch/packedarraytype eq or{dup
xcheck{fmBi}if}if}ifelse exch}forall systemdict/setpacking known{packedarray}{
array astore}ifelse cvx}FmBD/fmBi{bind fmBx}FmBD/fmax{2 copy lt{exch}if pop}
FmBD/fmin{2 copy gt{exch}if pop}FmBD/fML1/languagelevel where{pop languagelevel
}{1}ifelse 2 lt def/fMCE fML1{/statusdict where{pop statusdict/processcolors
known{statusdict/processcolors get exec 1 gt}{F}ifelse}{F}ifelse}{T}ifelse def
/fMXN/statusdict where{pop statusdict/product known{statusdict/product get}{
(Unknown)}ifelse}{(Unknown)}ifelse def/fMHq fMXN(LaserWriter-Sim)eq def fML1{
userdict/FrMacBegin{FrameMacDict begin}fmBi put/FmE{end}FmBD}{/fMdc 6 array def
userdict/FrMacBegin{FrameMacDict begin/fMds currentcolorspace store mark 0 0 0
0 0 currentcolor fMdc astore pop cleartomark}fmBi put/FmE{fMds setcolorspace
mark fMdc aload pop setcolor cleartomark end}FmBD}ifelse/fMcu F def/fMsg F def
/fMSD F def/fmSK{pop pop pop pop}FmBD/FmG/gsave load def/FmR/grestore load def
/fm_l/grestoreall load def/fm_v/save load def/fm_g/setgray load def/fm_r
/setrgbcolor load def/fm_h/sethsbcolor load def/fm_f/fill load def/fm_e/eofill
load def/fm_t/stroke load def/fm_m/imagemask load def/fm_i/image load def/fm_s
/show load def/fm_a/ashow load def/fm_w/widthshow load def/fm_y/awidthshow load
def/RealKshow/kshow load def/fm_si systemdict/image get def/fm_sg systemdict
/setgray get def/fm_sc systemdict/currentgray get def/fm_su systemdict
/settransfer get def/fm_sx systemdict/currenttransfer get def fMCE{
/SysColorimage systemdict/colorimage get def}if/fMdm matrix def/fMax matrix def
/fMa2 matrix def/fmSM{fMax currentmatrix pop}FmBD/fmRM{fMax setmatrix}FmBD/FmRF
{currentpoint 2 copy translate 4 2 roll{-1 1 scale}if rotate neg exch neg exch
translate}FmBD systemdict/pdfmark known systemdict/currentdistillerparams known
and{/fMAB true def/FmPD/pdfmark load def/FmPT/fm_s load def
currentdistillerparams/CoreDistVersion get 2000 ge{/FmPD2/pdfmark load def
%     
% Procedure /FmPA defines named destinations. 
% In order to accommodate all possible scenarios, FrameMaker defines named destinations
% for each paragraph, which allows links to arbitrary points in already generated
% PDF documents. This feature may cause larger PDF files to be created. 
% The fmCG flag tells Distiller whether to create named destinations for each 
% paragraph. This prolog defines two versions of this flag. One of these versions must be
% commented out, and the other must be uncommented.
%     
% The following fmCG flag will cause Distiller to create a named destination for
% each paragraph. 
%     
/fmCG{false}FmBD
%     
% The following fmCG flag will cause Distiller to create a named destination only
% for each paragraph known to be a destination. If you do not want Distiller to create
% named destinations for each paragraph (thus creating smaller sized PDF documents), 
% uncomment the following statement and comment out the previous statement. 
% CAUTION: By making the following statement active, you may lose some links in the
%          resulting PDF documents.
%     
%%/fmCG { dup 127 string cvs 0 get (G) 0 get eq } FmBD 
%     
/FmND{mark exch/Dest exch 5 3 roll/View[/XYZ 5 -2 roll FmDC null]/DEST FmPD}
FmBD/FmPA{fmCG{pop pop pop}{FmND}ifelse}FmBD}{/FmPD2/cleartomark load def/FmPA{
pop pop pop}FmBD/FmND{pop pop pop}FmBD}ifelse}{/fMAB false def/FmPD/cleartomark
load def/FmPD2/cleartomark load def/FmPT/pop load def/FmPA{pop pop pop}FmBD
/FmND{pop pop pop}FmBD}ifelse/FmDC{transform fMdm defaultmatrix itransform cvi
exch cvi exch}FmBD/FmBx{dup 3 index lt{3 1 roll exch}if 1 index 4 index lt{4 -1
roll 3 1 roll exch 4 1 roll}if}FmBD/fmkn{2 copy known{get T}{pop pop false}
ifelse}FmBD/fmfp{exch currentfont dup/FontMatrix get exch/FontInfo fmkn{T}{
currentfont/df fmkn{dup/FontInfo fmkn{3 1 roll/FontMatrix get mtx concatmatrix
exch T}{pop pop pop F}ifelse}{pop pop F}ifelse}ifelse{3 -1 roll fmkn{exch 0 3 1
roll dtransform neg exch pop exch pop}{pop exec}ifelse}{exec}ifelse}FmBD/FmTx{
/fM3 fmXD/fM2 fmXD/fM1 fmXD 0 32 fM1 fM3 stringwidth pop fM2 sub fM3 length div
sub 0 fM3 fm_y}FmBD/fMOx matrix def fMOx currentmatrix pop/FmSO{/FmOs save def
fmSM fMOx setmatrix}FmBD/FmIO{fmRM}FmBD/FmEO{FmOs restore}FmBD/fmSC{0 1 fMGL{
dup fMRC exch get exch dup fMNC exch get exch dup fMBC exch get exch 4 1 roll
/fmRY fmGG exec fMeb fMC eq{pop pop pop}{fMeb fMM eq{pop pop exch pop}{fMeb fMY
eq{pop 3 1 roll pop pop}{fMeb fMK eq{4 1 roll pop pop pop}{pop pop pop pop 0}
ifelse}ifelse}ifelse}ifelse 1 exch sub 255 mul fMGC 3 1 roll put}for}FmBD/fmSW{
/fMOP fmGG{nulldevice}{fMNg{{10000000 div}}{{10000000 div 1 exch sub}}ifelse
fm_su}ifelse}FmBD fML1{/Fmi{save userdict/fM7 3 -1 roll put/fM9 F def{{dup
length dup 1 sub/fMGL fmXD array/fMGC fmXD/fMBC fmXD/fMNC fmXD/fMRC fmXD fMeb
fMCP ne{fmSC{fMGL mul cvi fMGC exch get}currenttransfer fmcp fm_su}{fMCE{
currentcolortransfer/gryt fmXD/blut fmXD/grnt fmXD/redt fmXD 0 1 fMGL{/fMIx
fmXD/fMUC 1 fMRC fMIx get sub def/fMUM 1 fMNC fMIx get sub def/fMUY 1 fMBC fMIx
get sub def/fMk fMUC fMUM fmin fMUY fmin def/FmU fMk/currentundercolorremoval
where{pop currentundercolorremoval exec}{pop 0}ifelse def fMRC fMIx 1 0 fMUC
FmU sub fmax sub redt exec put fMNC fMIx 1 0 fMUM FmU sub fmax sub grnt exec
put fMBC fMIx 1 0 fMUY FmU sub fmax sub blut exec put fMGC fMIx 1 fMk
/currentblackgeneration where{pop currentblackgeneration exec}{}ifelse sub gryt
exec put}for{fMGL mul cvi fMRC exch get}{fMGL mul cvi fMNC exch get}{fMGL mul
cvi fMBC exch get}{fMGL mul cvi fMGC exch get}setcolortransfer
/setundercolorremoval where{pop{pop 0}setundercolorremoval}if
/setblackgeneration where{pop{}setblackgeneration}if/fM9 T def}{0 1 fMGL{fMGC
exch dup dup fMRC exch get .3 mul exch dup fMNC exch get .59 mul exch fMBC exch
get .11 mul add add put}for{fMGL mul cvi fMGC exch get}currenttransfer fmcp
fm_su}ifelse}ifelse}{fMeb dup fMK eq exch fMCP eq or{dup length 1 sub/fMGL fmXD
/fMGC fmXD{fMGL mul cvi fMGC exch get}currenttransfer fmcp fm_su}{pop fmSW}
ifelse}ifelse}{fMeb dup fMK eq exch fMCP eq or{{{1 exch sub}currenttransfer
fmcp fm_su}if}{pop fmSW}ifelse}ifelse/fMIT fmXD/fM5 fmXD/fM8 fmXD/fM6 fmXD/fMrw
fmXD/fMcl fmXD translate rotate scale{-1 1 scale}if fMIT 1 ne{{1 exch sub fMIT
mul 1 exch sub}currenttransfer exch fmcp fm_su}if/fMi1 fM8 string def fMcl fMrw
fM6[fMcl 0 0 fMrw fMcl 2 div fMrw 2 div]{currentfile fMi1 fM5{readstring}{
readhexstring}ifelse pop}fM9{{fMi1}{fMi1}T 3 SysColorimage}{fm_si}ifelse fM7
restore}FmBD}{/Fmi{save userdict/fM7 3 -1 roll put/fM9 F def{{dup length dup 1
sub/fMGL fmXD array/fMGC fmXD/fMBC fmXD/fMNC fmXD/fMRC fmXD fMeb fMCP ne{fmSC[
/Indexed/DeviceGray fMGL{fMGC exch get}]setcolorspace}{[/Indexed/DeviceRGB fMGL
{dup fMRC exch get exch dup fMNC exch get exch fMBC exch get}]setcolorspace}
ifelse}{dup length 1 sub/fMGL fmXD/fMGC fmXD[/Indexed/DeviceGray fMGL{fMGC exch
get}]setcolorspace fMeb dup fMK ne exch fMCP ne and{fmSW}if}ifelse}{1 5 index
bitshift 1 sub/fMGL fmXD[/Indexed/DeviceGray fMGL 5 -1 roll{{fMGL div 1 exch
sub}}{{fMGL div}}ifelse]setcolorspace fMeb dup fMK ne exch fMCP ne and{fmSW}if}
ifelse/fMIT fmXD/fM5 fmXD/fM8 fmXD/fM6 fmXD/fMrw fmXD/fMcl fmXD translate
rotate scale{-1 1 scale}if fMIT 1 ne{{1 exch sub fMIT mul 1 exch sub}
currenttransfer exch fmcp fm_su}if/fMi1 fM8 string def 7 dict begin/ImageType 1
def/Width fMcl def/Height fMrw def/ImageMatrix[fMcl 0 0 fMrw fMcl 2 div fMrw 2
div]def/DataSource{currentfile fMi1 fM5{readstring}{readhexstring}ifelse pop}
def/BitsPerComponent fM6 def/Decode[0 fMGL]def currentdict end fm_si fM7
restore}FmBD}ifelse/fmIv{[{1 exch sub}/exec load dup currenttransfer exch]cvx
bind fm_su}FmBD/fm3b{dup fMCP eq{pop 0 1 4 index length 1 sub{3 index 1 index
get .3 mul 3 index 2 index get .59 mul 3 index 3 index get .11 mul add add
round cvi 4 index 3 1 roll put}for pop pop}{/fmRY fmGG 0 1 6 index length 1 sub
{5 index 1 index get 255 div 5 index 2 index get 255 div 5 index 3 index get
255 div 4 index exec 6 index fMC eq{pop pop pop}{6 index fMM eq{pop pop exch
pop}{6 index fMY eq{pop 3 1 roll pop pop}{6 index fMK eq{4 1 roll pop pop pop}{
pop pop pop pop 0}ifelse}ifelse}ifelse}ifelse 255 mul round cvi 6 index 3 1
roll put}for pop pop pop pop}ifelse}FmBD/Fmci{save userdict/fM7 3 -1 roll put
/fMIT fmXD/fM5 fmXD/fM8 fmXD/fM6 fmXD/fMrw fmXD/fMcl fmXD/fMi1 fM8 string def
/fM0 fM8 3 idiv def/fMs fMi1 0 fM0 getinterval def/fMs2 fMi1 fM0 dup
getinterval def/fMs3 fMi1 fM0 dup 2 mul exch getinterval def translate rotate
scale{-1 1 scale}if fMIT 1 ne{{1 exch sub fMIT mul 1 exch sub}currenttransfer
exch fmcp fm_su}if fMcl fMrw fM6[fMcl 0 0 fMrw fMcl 2 div fMrw 2 div]fMeb fMCP
eq fMCE and{{currentfile fMi1 fM5{readstring}{readhexstring}ifelse pop pop fMs}
{fMs2}{fMs3}T 3 SysColorimage}{{fmIv currentfile fMi1 fM5{readstring}{
readhexstring}ifelse pop pop fMs fMs2 fMs3 fMeb fm3b}fm_si}ifelse fM7 restore}
FmBD/fm4b{dup fMCP eq{pop 0 1 5 index length 1 sub{2 copy get dup 6 index 3
index get add 255 fmin .3 mul 1 index 6 index 4 index get add 255 fmin .59 mul
3 -1 roll 5 index 4 index get add 255 fmin .11 mul add add round cvi 5 index 3
1 roll put}for pop pop pop}{dup fMC eq{pop pop pop pop}{dup fMM eq{pop pop pop
exch pop}{dup fMY eq{pop pop exch pop exch pop}{fMK eq{4 1 roll pop pop pop}{
pop pop pop 0 1 2 index length 1 sub{1 index exch 0 put}for}ifelse}ifelse}
ifelse}ifelse}ifelse}FmBD/Fmc4{save userdict/fM7 3 -1 roll put/fMIT fmXD/fM5
fmXD/fM8 fmXD/fM6 fmXD/fMrw fmXD/fMcl fmXD/fMi1 fM8 string def/fM0 fM8 4 idiv
def/fMs fMi1 0 fM0 getinterval def/fMs2 fMi1 fM0 dup getinterval def/fMs3 fMi1
fM0 dup 2 mul exch getinterval def/fMs4 fMi1 fM0 dup 3 mul exch getinterval def
translate rotate scale{-1 1 scale}if fMIT 1 ne{{1 exch sub fMIT mul 1 exch sub}
currenttransfer exch fmcp fm_su}if fMcl fMrw fM6[fMcl 0 0 fMrw fMcl 2 div fMrw
2 div]fMeb fMCP eq fMCE and{{currentfile fMi1 fM5{readstring}{readhexstring}
ifelse pop pop fMs}{fMs2}{fMs3}{fMs4}T 4 SysColorimage}{fmIv{currentfile fMi1
fM5{readstring}{readhexstring}ifelse pop pop fMs fMs2 fMs3 fMs4 fMeb fm4b}fm_si
}ifelse fM7 restore}FmBD fML1{/fmAn{transform round .5 sub exch round .5 sub
exch itransform}FmBD/fmAc{transform round 1.5 sub exch round 1.5 sub exch
itransform}FmBD/fmDn{dtransform round exch round exch idtransform}FmBD/fmLn{0
dtransform exch cvi 2 idiv 2 mul .1 add exch idtransform pop}FmBD/FmCv{fmDn 6 2
roll fmDn 6 2 roll fmDn 6 2 roll rcurveto}FmBD}{T setstrokeadjust/fmAn{}FmBD
/fmAc{}FmBD/fmDn{}FmBD/fmLn{}FmBD/FmCv{rcurveto}FmBD}ifelse/FmM{fmAn moveto}
FmBD/M{moveto}FmBD/N{0 rmoveto}FmBD/S{fm_s}FmBD/A{0 exch fm_a}FmBD/W{0 exch 32
exch fm_w}FmBD/X{0 exch 0 32 5 2 roll fm_y}FmBD/fmQP{fML1 fMGM or not{FmG dup 1
fm_g exec FmR}if exec}FmBD/FmB{newpath fmAn moveto}FmBD/FmL{rlineto}FmBD/FmAL{
fmAn lineto}FmBD/FmSo{fmLn setlinewidth setlinecap{fm_t}fmQP 0 0 moveto}FmBD
/FmS{fmLn setlinewidth closepath{fm_t}fmQP 0 0 moveto}FmBD/FmDS{fmLn
setlinewidth setlinecap{closepath}if setdash{fm_t}fmQP[]0 setdash 0 0 moveto}
FmBD/FmFl{FmG{fm_e}fmQP FmR}FmBD/fmq{fmDn 4 2 roll fmAn newpath moveto 1 index
0 rlineto 0 exch rlineto neg 0 rlineto closepath}FmBD/FmqP{fmq fmLn
setlinewidth{fm_t}fmQP 0 0 moveto}FmBD/FmqF{fmq FmG{fm_f}fmQP FmR}FmBD/FmKp{{
currentpoint}stopped{F 5 1 roll}{T 7 3 roll}ifelse fmDn 4 2 roll fmAn newpath
moveto 1 index 0 rlineto 0 exch rlineto neg 0 rlineto closepath clip{moveto}{
newpath}ifelse}FmBD/FmKb{{currentpoint}stopped}FmBD/FmKe{clip{newpath}{moveto}
ifelse}FmBD/FmAF{FmG newpath fmAn translate not{0.0 0.0 moveto}if rotate fmDn
scale 0.0 0.0 1.0 5 3 roll arc closepath{fm_f}fmQP FmR}FmBD/FmAP{FmG{setdash}if
fmLn setlinewidth setlinecap fmSM newpath 2 index 2 div add exch 3 index 2 div
sub exch fmAn 2 index 2 div sub exch 3 index 2 div add exch translate rotate
scale 0.0 0.0 1.0 5 3 roll exch arcn{closepath}if fmRM{fm_t}fmQP FmR}FmBD/FmST{
FmG fmAn translate .3 fmLn setlinewidth 0 setlinecap 0 setlinejoin newpath 1
fm_g 0 0 10 0 360 arc fm_f 0 fm_g 0 0 10 0 360 arc fm_t 36{1 0 moveto 0 0 10
-2.5 2.5 arc fm_f 10 rotate}repeat FmR}FmBD/FmSL{FmG fmAn translate .25 fmLn
setlinewidth 0 setlinecap 0 setlinejoin newpath 1 fm_g 0 0 10 0 360 arc fm_f 0
fm_g 10 .5 fmLn neg .1{0 0 3 -1 roll 0 360 arc fm_t}for FmR}FmBD/fMCP 0 def/fMC
1 def/fMM 2 def/fMY 3 def/fMK 4 def/fMS 5 def/fMN 6 def/fMNg 0 currenttransfer
exec .5 gt def/fMib fMCP def/fMJK 0 def/fMJY 0 def/fMJM 0 def/fMJC 0 def/fMJR 1
def/fMJG 1 def/fMJB 1 def/fMPG 0 def/fMTV 1 def/fMPt null def/fMCK[0 0 0 1
(Black)0 0 0]def/fmCH{fML1{14 dict dup begin fMCE{/HalftoneType 2 def
currentcolorscreen[/GraySpotFunction/GrayAngle/GrayFrequency/BlueSpotFunction
/BlueAngle/BlueFrequency/GreenSpotFunction/GreenAngle/GreenFrequency
/RedSpotFunction/RedAngle/RedFrequency]{exch def}forall}{/HalftoneType 1 def
currentscreen[/SpotFunction/Angle/Frequency]{exch def}forall}ifelse statusdict
/checkscreen known{statusdict/accuratescreens get exec}{F}ifelse
/AccurateScreens exch def end}{currenthalftone}ifelse}FmBD/fmSH{fML1 fMeb fMCP
ne or{begin statusdict/checkscreen known{currentdict/AccurateScreens known{
AccurateScreens}{F}ifelse statusdict/setaccuratescreens get exec}if
HalftoneType 1 eq{Frequency Angle/SpotFunction load setscreen}{HalftoneType 2
eq{fMeb fMCP eq fMCE and{RedFrequency RedAngle/RedSpotFunction load
GreenFrequency GreenAngle/GreenSpotFunction load BlueFrequency BlueAngle
/BlueSpotFunction load GrayFrequency GrayAngle/GraySpotFunction load
setcolorscreen}{fMeb fMC eq{RedFrequency RedAngle/RedSpotFunction load}{fMeb
fMM eq{GreenFrequency GreenAngle/GreenSpotFunction load}{fMeb fMY eq{
BlueFrequency BlueAngle/BlueSpotFunction load}{fMeb fMY eq currentdict
/BlackFrequency known and{BlackFrequency BlackAngle/BlackSpotFunction load}{
GrayFrequency GrayAngle/GraySpotFunction load}ifelse}ifelse}ifelse}ifelse
setscreen}ifelse}if}ifelse end}{sethalftone}ifelse}FmBD/FmCS{17 dict begin
/HalftoneType 2 def/AccurateScreens exch def/GraySpotFunction exch def
/GrayAngle exch def/GrayFrequency exch def/BlackSpotFunction exch def
/BlackAngle exch def/BlackFrequency exch def/BlueSpotFunction exch def
/BlueAngle exch def/BlueFrequency exch def/GreenSpotFunction exch def
/GreenAngle exch def/GreenFrequency exch def/RedSpotFunction exch def/RedAngle
exch def/RedFrequency exch def currentdict dup end/fMPH exch def fmSH}FmBD/FmSS
{5 dict begin/HalftoneType 1 def/AccurateScreens exch def/SpotFunction exch def
/Angle exch def/Frequency exch def currentdict dup end/fMPH exch def fmSH}FmBD
/fMPH fmCH def/fmcp{cvlit exch cvlit exch 2 copy length exch length add array
dup 0 4 index putinterval dup 3 index length 3 index putinterval 3 1 roll pop
pop cvx}FmBD/fmEp{sub dup 0 lt{neg}if .001 le}FmBD/fmQC{2 copy 0 get exch 0 get
fmEp{2 copy 1 get exch 1 get fmEp{2 copy 2 get exch 2 get fmEp{3 get exch 3 get
fmEp}{pop pop F}ifelse}{pop pop F}ifelse}{pop pop F}ifelse}FmBD/fmQR{2 copy 5
get exch 0 get fmEp{2 copy 6 get exch 1 get fmEp{7 get exch 2 get fmEp}{pop pop
F}ifelse}{pop pop F}ifelse}FmBD/FmSC{/fMib fMS def/fMJB fmXD/fMJG fmXD/fMJR
fmXD/fMCN fmXD/fMJK fmXD/fMJY fmXD/fMJM fmXD/fMJC fmXD}FmBD/FmSP{/fMib fmXD
fmGb fmCC}FmBD/fMSC 1 dict def/FrameSetSpotColors{dict FrameMacDict/fMSC 3 -1
roll put}fmBi def/FrameSpot{FrameMacDict/fMSC get exch dup 4 get exch put}fmBi
def/fMGM T def/fm4q{4{4 index eq 8 1 roll}repeat pop pop pop pop and and and}
FmBD/fmGb{/fMeb fMCP def/fMcu/setcustomcolor where{pop T}{F}ifelse def/fMsg
/setseparationgray where{pop T}{F}ifelse def/setcmykcolor where{/fMSD T def
/setcmykcolor get dup/fm_x fmXD/fmSK fmXD}{/fMSD F def/fmSK{4 1 roll 3{3 index
add 0 fmax 1 fmin 1 exch sub 3 1 roll}repeat fm_r pop}FmBD}ifelse fMSD{fMcu{0
fm_sx exec 1 fm_sx exec eq{/fMeb fMN store}{/fm_x where{pop 1 0 0 0 fm_x fm_sc
0 1 0 0 fm_x fm_sc 0 0 1 0 fm_x fm_sc 0 0 0 1 fm_x fm_sc 4{4 copy}repeat 0 1 1
1 fm4q{/fMeb fMC store}if 1 0 1 1 fm4q{/fMeb fMM store}if 1 1 0 1 fm4q{/fMeb
fMY store}if 1 1 1 0 fm4q{/fMeb fMK store}if 1 1 1 1 fm4q{/fMeb fMN store}if}if
}ifelse}if}if}FmBD/fmCC{/fMND F def/fMCT fMTV 1 fMPG sub mul def fMib fMCP eq{
fMGM fML1 or not{fMeb fMCP eq{fMAB not{[/Pattern[/DeviceCMYK]]setcolorspace
fMCK 0 4 getinterval aload pop fMCT 1 lt{4{fMCT mul 4 1 roll}repeat}if}{[
/Pattern[/DeviceRGB]]setcolorspace fMCK 5 3 getinterval aload pop fMCT 1 lt{3{1
exch sub fMCT mul 1 exch sub 3 1 roll}repeat}if}ifelse}{fMcu fMCS and{fMCK 0 5
getinterval aload pop findcmykcustomcolor fMCT setcustomcolor}{0 1 3{fMCK exch
get fMCT mul}for fm_x}ifelse currentgray[/Pattern[/DeviceGray]]setcolorspace}
ifelse fMPt setcolor}{fMsg fMCR and{1 fMCT sub setseparationgray}{fMcu fMCS and
{fMCK 0 5 getinterval aload pop findcmykcustomcolor fMCT setcustomcolor}{fMAB
not fMSD and{0 1 3{fMCK exch get fMCT mul}for fm_x}{5 1 7{fMCK exch get 1 exch
sub fMCT mul 1 exch sub}for fm_r}ifelse}ifelse}ifelse}ifelse}{fMGM fML1 or not{
[/Pattern[/DeviceGray]]setcolorspace 1 fMCT sub fMPt setcolor}{1 fMCT sub fm_g}
ifelse}ifelse}FmBD/K{fMCK astore pop/fMCS T def/fMCR F def/fMTV exch def fmCC}
FmBD/H{0 0 0 1(Black)0 0 0 fMCK astore pop/fMCS F def/fMCR T def/fMTV exch def
fmCC}FmBD/fMCS F def/fMCR F def/fmPK{fMCK astore pop/fMCS F def/fMCR F def/fMTV
exch def fmCC}FmBD/FmCC{1 0 0 0(Cyan)0 1 1 fmPK}FmBD/FmCM{0 1 0 0(Magenta)1 0 1
fmPK}FmBD/FmCY{0 0 1 0(Yellow)1 1 0 fmPK}FmBD/FmCK{0 0 0 1(Black)0 0 0 fmPK}
FmBD/G{FmCK}FmBD/B{1 G}FmBD/FmOP/setoverprint where{pop/setoverprint}{/pop}
ifelse load def fML1{/patScreenDict 7 dict dup begin<0f1e3c78f0e1c387>[45{pop}{
exch pop}.5 2 sqrt]FmBD<0f87c3e1f0783c1e>[135{pop}{exch pop}.5 2 sqrt]FmBD<cccc
cccccccccccc>[0{pop}dup .5 2]FmBD<ffff0000ffff0000>[90{pop}dup .5 2]FmBD<814224
1818244281>[45{2 copy lt{exch}if pop}dup .75 2 sqrt]FmBD<0102040810204080>[45{
pop}{exch pop}.875 2 sqrt]FmBD<8040201008040201>[135{pop}{exch pop}.875 2 sqrt]
FmBD end def}{/fMPP 5 dict dup begin<0f87c3e1f0783c1e>{3 setlinewidth -1 -1
moveto 9 9 lineto fm_t 4 -4 moveto 12 4 lineto fm_t -4 4 moveto 4 12 lineto
fm_t}FmBD<0f1e3c78f0e1c387>{3 setlinewidth -1 9 moveto 9 -1 lineto fm_t -4 4
moveto 4 -4 lineto fm_t 4 12 moveto 12 4 lineto fm_t}FmBD<8142241818244281>{1
setlinewidth -1 9 moveto 9 -1 lineto fm_t -1 -1 moveto 9 9 lineto fm_t}FmBD<80
40201008040201>{1 setlinewidth -1 -1 moveto 9 9 lineto fm_t 4 -4 moveto 12 4
lineto fm_t -4 4 moveto 4 12 lineto fm_t}FmBD<0102040810204080>{1 setlinewidth
-1 9 moveto 9 -1 lineto fm_t -4 4 moveto 4 -4 lineto fm_t 4 12 moveto 12 4
lineto fm_t}FmBD end def/fMPD 15 dict dup begin/PatternType 1 def/PaintType 2
def/TilingType 3 def/BBox[0 0 8 8]def/XStep 8 def/YStep 8 def/PaintProc{begin
fMPP fmBS known{fMPP fmBS get exec}{8 8 T[1 0 0 -1 0 8]fmBS fm_m}ifelse end}
FmBD end def}ifelse/fMdp 72 0 fMdm defaultmatrix dtransform dup mul exch dup
mul add sqrt def/freq fMdp dup 72 div round dup 0 eq{pop 1}if 8 mul div def
/sangle 1 0 fMdm defaultmatrix dtransform exch atan def sangle fMa2 rotate fMdm
defaultmatrix fMa2 concatmatrix dup 0 get/sflipx exch def 3 get/sflipy exch def
fML1{/fmgF{fMa2 exch get mul 0 lt{-1}{1}ifelse}FmBD}if/fmPM fML1{{dup
patScreenDict exch known{patScreenDict exch get aload pop freq mul 5 2 roll
fMa2 currentmatrix 1 get 0 ne{3 -1 roll 90 add 3 1 roll sflipx 1 fmgF sflipy 2
fmgF mul}{sflipx 0 fmgF sflipy 3 fmgF neg mul}ifelse 0 lt{exch pop}{pop}ifelse
fMNg{{neg}fmcp}if bind systemdict/setscreen get exec}{/fmBS fmXD/fM1B 0 def
/fM0B 0 def freq 0 fMa2 currentmatrix 1 get 0 ne{90 add/pflipx sflipx 1 fmgF
def/pflipy sflipy 2 fmgF def}{/pflipx sflipx 0 fmgF def/pflipy sflipy 3 fmgF
neg def}ifelse{pflipy mul/yy fmXD pflipx mul/xx fmXD/xindex xx 1 add 2 div 8
mul cvi def/yindex yy 1 add 2 div 8 mul cvi def fmBS yindex xindex 8 idiv add
get 1 7 xindex 8 mod sub bitshift and 0 ne fMNg{not}if{/fM1B fM1B 1 add def 1}{
/fM0B fM0B 1 add def 0}ifelse}setscreen fM0B fM0B fM1B add div fMNg{1.0 exch
sub}if}ifelse/fMPG exch def/fMGM F def fmCC}}{/fMPC 8 dict def{dup fMPC exch
known{fMPC exch get}{dup fMPD/fmBS 3 -1 roll put fMPD matrix makepattern dup
fMPC 4 -1 roll 3 -1 roll put}ifelse/fMPt exch def/fMPG 0 def/fMGM F def fmCC}}
ifelse FmBD/fmgr{fMGM not{/fMGM T def fML1{fMPH fmSH}if}if/fMPG exch def fmCC}
FmBD/FmP{FrameFillPatternsArray exch get dup type/stringtype eq{fmPM}{fmgr}
ifelse}FmBD/fMEd 40 dict def/fmPE{fMEd 3 1 roll fmBi put}bind def/fmgS 32 array
def/fMgt 0 def/fMtp 0 def/fmSG{fmgS fMgt get dup null eq{pop fmgS fMgt 10 dict
dup 4 1 roll put}if 3 1 roll put}FmBD/fmGG{fMgt -1 -1{fmgS exch get dup null ne
{2 copy exch known{2 copy exch get/_notdef ne{exch get dup exit}if}if}if pop}
for pop}FmBD/gsave{FrameMacDict begin FmG/fMgt fMgt 1 add def fmgS fMgt get dup
null eq{pop}{dup dup{pop/_notdef put dup}forall pop pop}ifelse end}fmPE
/grestore{FrameMacDict begin fMgt fMtp gt{/fMgt fMgt 1 sub def}if FmR null fmCN
end}fmPE/grestoreall{FrameMacDict begin/fMgt fMtp def fm_l null fmCN end}fmPE
/save{FrameMacDict/fm_v get exec FrameMacDict begin/fMgt fMgt 1 add def fmgS
fMgt get dup null eq{pop}{dup dup{pop/_notdef put dup}forall pop pop}ifelse
/fMtp fMgt def end}fmPE/fMND F def/fMCC null fmSG/fMOP F fmSG/fMKO F fmSG/fmRY{
1 exch sub 3 1 roll 1 exch sub 3 1 roll 1 exch sub 3 1 roll 3 copy 2 copy le{
pop}{exch pop}ifelse 2 copy le{pop}{exch pop}ifelse dup dup dup 6 1 roll 4 1
roll 7 1 roll sub 6 1 roll sub 5 1 roll sub 4 1 roll}fmSG userdict/fM7 known
not{userdict/FrameSuccessfull F put userdict/FrameEndPictStopped F put userdict
/fM7 0 put}if/fmLC{fMSC{exch pop exch dup 3 -1 roll fmQC{pop T exit}if}forall
dup T ne{pop F}if}FmBD/fmLR{fMSC{exch pop exch dup 3 -1 roll fmQR{pop T exit}if
}forall dup T ne{pop F}if}FmBD/fmLM{fMSC exch known}FmBD/fmCN{fMND F fMib fMCP
ne{/fMOP fmGG{/fMKO fmGG{pop T}if}if}if dup/fMND exch def{pop pop}{exch dup
null ne{exch pop dup type dup/integertype eq exch/realtype eq or{fm_g}{setcolor
}ifelse}{pop{1 fm_g}if}ifelse}ifelse}FmBD/findcmykcustomcolor{0 0 0 8 array
astore}fmPE/findrgbcustomcolor{FrameMacDict begin 4 1 roll 3 copy/fmRY fmGG
exec 8 4 roll 8 array astore end}fmPE/findgraycustomcolor{0 0 0 exch 1 exch sub
exch findcmykcustomcolor}fmPE/findhsbcustomcolor{FrameMacDict begin 4 1 roll
gsave fm_h currentrgbcolor grestore 4 -1 roll findrgbcustomcolor end}fmPE
/setcustomcolor{FrameMacDict begin dup type dup/integertype eq exch/realtype eq
or not{1.0}if exch dup/fMCC exch fmSG dup 4 get dup fmLM{fMib fMS eq{fMCN eq{
pop}{pop pop 0}ifelse}{pop pop pop 0}ifelse}{pop fMib fMK eq{3 get mul}{fMib
fMY eq{2 get mul}{fMib fMM eq{1 get mul}{fMib fMC eq{0 get mul}{pop pop 0}
ifelse}ifelse}ifelse}ifelse}ifelse dup 0 le/fMKO exch fmSG 1 exch sub fmCN end}
fmPE/setoverprint{FrameMacDict begin dup FmOP/fMOP exch fmSG null fmCN end}fmPE
/currentoverprint{FrameMacDict begin/fMOP fmGG end}fmPE/setrgbtocmyk{
FrameMacDict begin/fmRY exch fmSG null fmCN end}fmPE/currentrgbtocmyk{
FrameMacDict begin/fmRY fmGG end}fmPE/fill{FrameMacDict begin fMND{newpath}{
fm_f}ifelse end}fmPE/eofill{FrameMacDict begin fMND{newpath}{fm_e}ifelse end}
fmPE/stroke{FrameMacDict begin fMND{newpath}{fm_t}ifelse end}fmPE/fmNX{load
fMND{FmG fMa2 currentmatrix end nulldevice setmatrix exec currentpoint
FrameMacDict/FmR get exec moveto}{end exec}ifelse}fmBi def/show{FrameMacDict
begin/fm_s fmNX}fmPE/ashow{FrameMacDict begin/fm_a fmNX}fmPE/widthshow{
FrameMacDict begin/fm_w fmNX}fmPE/awidthshow{FrameMacDict begin/fm_y fmNX}fmPE
/kshow{FrameMacDict begin/RealKshow fmNX}fmPE/image{FrameMacDict begin dup type
/dicttype ne{fMib fMK eq{/fm_i load end exec}{FmG fmSW/fm_i load end exec
FrameMacDict begin FmR end}ifelse}{fML1{(image)errordict/typecheck get exec}{
dup begin ImageType 1 eq{currentcolorspace 0 get dup/DeviceGray eq{pop Decode 0
get 0 eq Decode 1 get 1 eq and{pop Width Height BitsPerComponent ImageMatrix
/DataSource load fMEd/image get end end exec}{end/fm_i load end exec}ifelse}{
dup/DeviceRGB eq exch/DeviceCMYK eq or{T 0 2 Decode length 2 sub{Decode exch
get 0 eq and}for 1 2 Decode length{Decode exch get 1 eq and}for{pop Width
Height BitsPerComponent ImageMatrix/DataSource load currentdict
/MultipleDataSources known{MultipleDataSources}{F}ifelse{aload pop T}{F}ifelse
Decode length 2 idiv fMEd/colorimage get end end exec}{end/fm_i load end exec}
ifelse}{end/fm_i load end exec}ifelse}ifelse}{end/fm_i load end exec}ifelse}
ifelse}ifelse}fmPE/separationimage{fm_i}fmPE
%% The definition of the /imagemask (up to version @@/main/28) used to simulate the definition
%% of /image. The structure of the code was the same, and both executed `nulldevice' for non-black
%% plates. (/image executed `nulldevice' via `fmSW' call).
%% This appears to be incorrect, because of the difference between `image' and `imagemask'
%% operators. While `image' operator always paints with black color, which is why the
%% definition of /image dicriminated between black and other colors plates, `imagemask'
%% operator paints with the current color. Therefore, the discrimination between black and
%% other colors plates in /imagemask definition, with sending non-black plates to `nulldevice'
%% seems to be wrong, and is eliminated in this version.
%%
%% itenenbo, cahaverl 07/02/98
%%
/imagemask{FrameMacDict begin dup type/dicttype ne{/fm_m load end exec}{/fm_m
load end exec}ifelse}fmPE/separationimagemask{fm_m}fmPE/colorimage{FrameMacDict
begin FmG dup 4 eq{fmIv pop{/fMP4 exch def/fMP3 exch def/fMP2 exch def/fMP1
exch def{fMP1 fMP2 fMP3 fMP4 fMib fm4b}fm_si}{/fMP1 exch def 1 index 8 ne{
(colorimage)errordict/rangecheck get exec}if/fMs 4 index string def/fMs2 4
index string def/fMs3 4 index string def/fMs4 4 index string def{fMP1 0 1 fMs
length 1 sub{2 copy 4 mul 4 getinterval forall fMs4 5 index 3 -1 roll put fMs3
4 index 3 -1 roll put fMs2 3 index 3 -1 roll put fMs 3 -1 roll put}for pop fMs
fMs2 fMs3 fMs4 fMib fm4b}fm_si}ifelse}{dup 3 eq{fmIv pop{/fMP3 exch def/fMP2
exch def/fMP1 exch def{fMP1 fMP2 fMP3 fMib fm3b}fm_si}{/fMP1 exch def 1 index 8
ne{(colorimage)errordict/rangecheck get exec}if/fMs 4 index string def/fMs2 4
index string def/fMs3 4 index string def{fMP1 0 1 fMs length 1 sub{2 copy 3 mul
3 getinterval forall fMs4 4 index 3 -1 roll put fMs3 3 index 3 -1 roll put fMs
3 -1 roll put}for pop fMs fMs2 fMs3 fMib fm3b}fm_si}ifelse}{1 eq{pop image}{
(colorimage)errordict/rangecheck get exec}ifelse}ifelse}ifelse FmR end}fmPE
/customcolorimage{FrameMacDict begin FmG setcustomcolor currentgray 0 gt{
currentgray 1 ge{/fMOP fmGG{nulldevice}{fMNg{{pop 0}}{{pop 1}}ifelse fm_su}
ifelse}{[1 currentgray sub/mul cvx]cvx currentransfer fmcp fm_su}ifelse}if/fm_i
get end exec FrameMacDict begin FmR end}fmPE/setgray{FrameMacDict begin fMib
fMK eq{F}{fMib fMS eq fMJR 0 eq and fMJG 0 eq and fMJB 0 eq and{F}{pop 1 T}
ifelse}ifelse/fMKO exch fmSG fmCN end}fmPE/setseparationgray{FrameMacDict begin
/fMKO F fmSG null fmCN fm_sg end}fmPE/setrgbcolor{FrameMacDict begin 3 copy[4 1
roll]fmLR{fMib fMS eq{fMJB eq exch fMJG eq and exch fMJR eq and{0 F}{1 T}ifelse
}{pop pop pop 1 T}ifelse}{/fmRY fmGG exec fMib fMK eq{1.0 exch sub 4 1 roll pop
pop pop F}{fMib fMY eq{pop 1.0 exch sub 3 1 roll pop pop F}{fMib fMM eq{pop pop
1.0 exch sub exch pop F}{fMib fMC eq{pop pop pop 1.0 exch sub F}{pop pop pop
pop 1 T}ifelse}ifelse}ifelse}ifelse}ifelse/fMKO exch fmSG fmCN end}fmPE
/sethsbcolor{FrameMacDict begin fm_h currentrgbcolor setrgbcolor end}fmPE
/currentcmykcolor where{pop}{/currentcmykcolor{FrameMacDict begin
currentrgbcolor/fmRY fmGG exec end}fmPE}ifelse/setcmykcolor{FrameMacDict begin
fMib fMK eq{1.0 exch sub 4 1 roll pop pop pop dup 1.0 ge}{fMib fMY eq{pop 1.0
exch sub 3 1 roll pop pop dup 1.0 ge}{fMib fMM eq{pop pop 1.0 exch sub exch pop
dup 1.0 ge}{fMib fMC eq{pop pop pop 1.0 exch sub dup 1.0 ge}{pop pop pop pop 1
T}ifelse}ifelse}ifelse}ifelse/fMKO exch fmSG fmCN end}fmPE/setcmykoverprint{
FrameMacDict begin 4 copy[5 1 roll]fmLC{fMib fMS eq{0 fmax fMJK eq exch 0 fmax
fMJY eq and exch 0 fmax fMJM eq and exch 0 fmax fMJC eq and{0 F}{1 T}ifelse}{
pop pop pop pop 1 T}ifelse}{fMib fMK eq{1.0 exch sub 4 1 roll pop pop pop dup 1
fmin exch 1 gt}{fMib fMY eq{pop 1.0 exch sub 3 1 roll pop pop dup 1 fmin exch 1
gt}{fMib fMM eq{pop pop 1.0 exch sub exch pop dup 1 fmin exch 1 gt}{fMib fMC eq
{pop pop pop 1.0 exch sub dup 1 fmin exch 1 gt}{pop pop pop pop 1 T}ifelse}
ifelse}ifelse}ifelse}ifelse/fMKO exch fmSG fmCN end}fmPE/setcmykcoloroverprint{
setcmykoverprint}fmPE/setcmybcolor{setcmykcolor}fmPE/FrameEr where{pop}{
userdict/FrameEr(\000)put}ifelse/fMSJ 100 string def/fmXC{FmE countdictstack
userdict begin/showpage{}def/FrameDictStackDepth exch def count/FrameStackDepth
exch def userdict/EndFrame5NestedPS dup FrameMacDict exch get put userdict
/FrameSuccessfull false put FrameMacDict/fMHq get/$brkpage where dup{exch pop}
if or{userdict/FrameEndPictStopped false put}{userdict/FrameEndPictStopped true
put currentfile cvx stopped pop FrameSuccessfull not{systemdict/clear get exec
userdict/FrameEr get 0 1 put FrameMacDict begin FmG systemdict/initmatrix get
exec 0 systemdict/setgray get exec clippath{pathbbox}stopped{100 100 512 692}if
exch pop add 2. div newpath moveto(Courier-BoldOblique)findfont 18 scalefont
setfont FrameEr1 fm_s( \()fm_s $error begin errorname 20 string cvs fm_s(, )
fm_s/command load 128 string cvs fm_s end(\))fm_s FrameEr2 print flush
FrameMacDict/fMSJ get{dup currentfile exch{readline}stopped{pop exch pop T}if
not{exit}if(EndFrame5NestedPS)eq{exit}if}loop grestore end}if userdict
/FrameSuccessfull false put userdict/FrameEndPictStopped false put FrameMacDict
/fmIR get exec}ifelse}fmBi def/FmEp{save userdict/fM7 3 -1 roll put exch fMeb
fMCP eq fMib fMCP ne and and{fMEd{userdict 3 1 roll put}forall}if FmOP[/fMef
/fMet/fMeh/fMew/fMey/fMex/fMei/fMej/fMek/fMel]{fmXD}forall fMex fMey translate
fMet rotate fMew fMeh scale fMef{-1 1 scale}if 1 fMej fMel sub div 1 fMek fMei
sub div scale fMej fMel add 2 div neg fMei fMek add 2 div neg translate 0
setgray 0 setlinecap 1 setlinewidth 0 setlinejoin 10 setmiterlimit[]0 setdash
newpath fML1 not{F setstrokeadjust}if fmXC}FmBD/FmPI{0 setgray 0 setlinecap 1
setlinewidth 0 setlinejoin 10 setmiterlimit[]0 setdash newpath newpath 0 0
moveto}FmBD/FmPc{save userdict/fM7 3 -1 roll put newpath 3 index neg 3 index
neg translate 1 -1 scale 0.0 0.0 moveto fmXC}FmBD/fmIR{end countdictstack
FrameDictStackDepth sub dup 0 gt{{end}repeat}{pop}ifelse count FrameStackDepth
sub dup 0 gt{{pop}repeat}{pop}ifelse fM7 restore FrameMacDict begin}fmBi def
/EndFrame5NestedPS{userdict/FrameEndPictStopped get{userdict/FrameSuccessfull
true put stop}{FrameMacDict/fmIR get exec}ifelse}fmBi def/alphaimage where{pop}
{userdict/alphaimage{1 ne{limitcheck}if not{limitcheck}if pop image}put}ifelse
/fmDE{systemdict/initgraphics get exec clippath{pathbbox}stopped{100 100 512
692}if exch pop add 2. div newpath moveto(Courier-BoldOblique)findfont 18
scalefont setfont currentpoint 2 copy FrameEr3 fm_s 20 sub 2 copy moveto
FrameEr4 fm_s 20 sub 2 copy moveto(\()fm_s statusdict/jobname get fm_s(\))fm_s
20 sub moveto FrameEr5 fm_s showpage}FmBD/cd where{dup/cd get/fmRC fmXD/cd{
FrameMacDict begin FrameEr 0 get 0 ne{fmDE}if/fmRC load end exec}fmBi put}{
/endp where{dup/endp get/fMRE fmXD/endp{FrameMacDict/fMRE get exec FrameEr 0
get 0 ne{FrameMacDict begin currentfile fMSJ{readline}stopped{pop exch pop true
}if pop dup(%%Trailer)eq{pop fmDE}{cvx exec}ifelse end}if}fmBi put}if}ifelse
systemdict/setpacking known{fMSP setpacking}if end
%%EndProcSet
/md where{pop countdictstack array dictstack true exch{md eq{pop false exit}if}
forall{md begin}if}if
%FRMSetup
FrameMacDict begin
/FrameEr1(PostScript error)def
/FrameEr2(A PostScript error occurred. FrameMaker+SGML is attempting recovery.)def
/FrameEr3(FrameMaker+SGML has detected one or more)def
/FrameEr4(PostScript errors in this document.)def
/FrameEr5(Please check your output.)def
/FrameFillPatternsArray [
  0 
  0.1 
  0.3 
  0.5 
  0.7 
  0.9 
  0.97 
  1 
  <0F1E3C78F0E1C387>
  <0F87C3E1F0783C1E>
  <CCCCCCCCCCCCCCCC>
  <FFFF0000FFFF0000>
  <8142241818244281>
  <0102040810204080>
  <8040201008040201>
] def
end
%%EndSetup
%%Page: 1 1
%%PageProcessColors: Black
%%PageCustomColors: 
%%BeginPageSetup
initializepage
(The Bishops; page: 1 of 10)setjob
%%EndPageSetup
gS 0 0 552 728 rC
0 0 :M
FrMacBegin
0 FmP
F FmOP
0 FmSP
FmE
42 14 468 14 rC
0 0 :M
FrMacBegin
42 15 468 12 FmKp
B
0 FmP
F FmOP
42 16 FmB
468 0 FmL
2 1 FmSo
42 19 FmB
468 0 FmL
2 1 FmSo
FmE
gR
gS 0 0 552 728 rC
0 0 :M
f148 sf
( )S
2 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 11.667 M (February 17, 2000)S
112.359 N (ECS 251 \320 Winter 2000)S
159.015 N (Page )S
(1)S
157.278 725 M (Last modified at )S
(11:37 pm on Thursday, February 17, 2000)S
FmE
3 0 :M
f175 sf
( )S
7 0 :M
FrMacBegin
B
0 FmP
F FmOP
141.71 53 M (Distrib)S
-0.36 N (uted Systems Fundamentals)S
FmE
7 0 :M
f148 sf
( )S
9 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 83.667 M (1.)S
10.5 N (Distrib)S
-0.2 N (uted system?)S
60 95.667 M (a.)S
11.062 N (What is it?)S
60 107.667 M (b)S
-0.4 N (.)S
10.9 N (Wh)S
-0.051 N (y use it?)S
42 119.967 M (2.)S
10.5 N (System )S
-0.552 N (Architectures)S
60 132.267 M (a.)S
11.062 N (minicomputer mode)S
60 144.267 M (b)S
-0.4 N (.)S
10.9 N (w)S
-0.1 N (orkstation model)S
60 156.267 M (c.)S
11.062 N (processor pool)S
42 168.567 M (3.)S
10.5 N (Issues)S
60 180.866 M (a.)S
11.062 N (global kno)S
-0.251 N (wledge)S
60 192.866 M (b)S
-0.4 N (.)S
10.9 N (naming)S
60 204.866 M (c.)S
11.062 N (scalability)S
60 216.866 M (d.)S
10.5 N (compatibility)S
60 228.866 M (e.)S
11.062 N (process synchronization, communication)S
60 240.866 M (f.)S
12.172 N (security)S
60 252.866 M (g.)S
10.5 N (structure)S
42 265.166 M (4.)S
10.5 N (Netw)S
-0.1 N (orks)S
60 277.466 M (a.)S
11.062 N (goals)S
60 289.466 M (b)S
-0.4 N (.)S
10.9 N (message, pack)S
-0.1 N (et, subnet, session)S
60 301.466 M (c.)S
11.062 N (switching: circuit, store-and-forw)S
-0.1 N (ard, message, pack)S
-0.1 N (et, virtual circuit, dynamic routing)S
60 313.466 M (d.)S
10.5 N (OSI model: PDUs, layering)S
78 325.466 M (i.)S
12.722 N (ph)S
-0.051 N (ysical: ethernet, aloha, )S
FmE
10 0 :M
f203 sf
( )S
12 0 :M
FrMacBegin
B
0 FmP
F FmOP
198.405 325.466 M (etc)S
FmE
12 0 :M
f148 sf
( )S
14 0 :M
FrMacBegin
B
0 FmP
F FmOP
210.06 325.466 M (.)S
78 337.466 M (ii.)S
9.943 N (data link layer: frames, parity checks, link encryption)S
78 349.466 M (iii.)S
7.165 N (netw)S
-0.1 N (ork layer: virtual circult vs. datagram, routing via \337)S
(ooding, static routes, dynamic routes, central-)S
96 361.466 M (ized routing vs. distrib)S
-0.2 N (uted routing; congestion solutions \(pack)S
-0.1 N (et discarding, isarithmic, chok)S
-0.1 N (e pack)S
-0.1 N (ets\))S
78 373.466 M (i)S
-0.251 N (v)S
-0.652 N (.)S
8.625 N -0.018(transport: services pro)W
-0.151 N -0.018(vided \(UDP vs. )W
-0.181 N -0.018(TCP\), functions to higher layers, addressing schemes \(\337)W
-0.018(at, DNS, )W
96 385.466 M (etc.\), g)S
-0.051 N (ate)S
-0.251 N (w)S
-0.1 N (ay fragmentation and reassembly)S
78 397.466 M (v)S
-0.652 N (.)S
11.152 N (session: adds session characteristics lik)S
-0.1 N (e authentication)S
78 409.466 M (vi.)S
7.722 N (presentation: compression, end-to-end encryption, virtual terminal)S
78 421.466 M (vii.)S
4.943 N (application: user)S
-0.2 N (-le)S
-0.251 N (v)S
-0.151 N (el programs)S
42 433.766 M (5.)S
10.5 N (Clocks)S
60 446.066 M (a.)S
11.062 N (happened-before relation)S
60 458.066 M (b)S
-0.4 N (.)S
10.9 N (Lamport\325)S
-0.552 N (s distrib)S
-0.2 N (uted clocks: )S
FmE
15 0 :M
f203 sf
( )S
17 0 :M
FrMacBegin
B
0 FmP
F FmOP
197.487 458.066 M (a)S
FmE
17 0 :M
f148 sf
( )S
19 0 :M
FrMacBegin
B
0 FmP
F FmOP
202.487 458.066 M ( )S
FmE
20 0 :M
f237 sf
( )S
22 0 :M
FrMacBegin
B
0 FmP
F FmOP
204.987 458.066 M (\256)S
FmE
22 0 :M
f148 sf
( )S
24 0 :M
FrMacBegin
B
0 FmP
F FmOP
214.855 458.066 M ( )S
FmE
25 0 :M
f203 sf
( )S
27 0 :M
FrMacBegin
B
0 FmP
F FmOP
217.355 458.066 M (b)S
FmE
27 0 :M
f148 sf
( )S
29 0 :M
FrMacBegin
B
0 FmP
F FmOP
222.355 458.066 M ( means )S
FmE
30 0 :M
f203 sf
( )S
32 0 :M
FrMacBegin
B
0 FmP
F FmOP
252.9 458.066 M (C)S
FmE
32 0 :M
f148 sf
( )S
34 0 :M
FrMacBegin
B
0 FmP
F FmOP
259.57 458.066 M (\()S
FmE
35 0 :M
f203 sf
( )S
37 0 :M
FrMacBegin
B
0 FmP
F FmOP
262.897 458.066 M (a)S
FmE
37 0 :M
f148 sf
( )S
39 0 :M
FrMacBegin
B
0 FmP
F FmOP
267.897 458.066 M (\) < )S
FmE
40 0 :M
f203 sf
( )S
42 0 :M
FrMacBegin
B
0 FmP
F FmOP
281.865 458.066 M (C)S
FmE
42 0 :M
f148 sf
( )S
44 0 :M
FrMacBegin
B
0 FmP
F FmOP
288.535 458.066 M (\()S
FmE
45 0 :M
f203 sf
( )S
47 0 :M
FrMacBegin
B
0 FmP
F FmOP
291.862 458.066 M (b)S
FmE
47 0 :M
f148 sf
( )S
49 0 :M
FrMacBegin
B
0 FmP
F FmOP
296.862 458.066 M (\))S
60 470.066 M (c.)S
11.062 N (Example where )S
FmE
50 0 :M
f203 sf
( )S
52 0 :M
FrMacBegin
B
0 FmP
F FmOP
142.966 470.066 M (C)S
FmE
52 0 :M
f148 sf
( )S
54 0 :M
FrMacBegin
B
0 FmP
F FmOP
149.636 470.066 M (\()S
FmE
55 0 :M
f203 sf
( )S
57 0 :M
FrMacBegin
B
0 FmP
F FmOP
152.963 470.066 M (a)S
FmE
57 0 :M
f148 sf
( )S
59 0 :M
FrMacBegin
B
0 FmP
F FmOP
157.963 470.066 M (\) < )S
FmE
60 0 :M
f203 sf
( )S
62 0 :M
FrMacBegin
B
0 FmP
F FmOP
171.931 470.066 M (C)S
FmE
62 0 :M
f148 sf
( )S
64 0 :M
FrMacBegin
B
0 FmP
F FmOP
178.601 470.066 M (\()S
FmE
65 0 :M
f203 sf
( )S
67 0 :M
FrMacBegin
B
0 FmP
F FmOP
181.928 470.066 M (b)S
FmE
67 0 :M
f148 sf
( )S
69 0 :M
FrMacBegin
B
0 FmP
F FmOP
186.928 470.066 M (\) does )S
FmE
70 0 :M
f203 sf
( )S
72 0 :M
FrMacBegin
B
0 FmP
F FmOP
213.583 470.066 M (not)S
FmE
72 0 :M
f148 sf
( )S
74 0 :M
FrMacBegin
B
0 FmP
F FmOP
226.362 470.066 M ( mean )S
FmE
75 0 :M
f203 sf
( )S
77 0 :M
FrMacBegin
B
0 FmP
F FmOP
253.017 470.066 M (a)S
FmE
77 0 :M
f148 sf
( )S
79 0 :M
FrMacBegin
B
0 FmP
F FmOP
258.017 470.066 M ( )S
FmE
80 0 :M
f237 sf
( )S
82 0 :M
FrMacBegin
B
0 FmP
F FmOP
260.517 470.066 M (\256)S
FmE
82 0 :M
f148 sf
( )S
84 0 :M
FrMacBegin
B
0 FmP
F FmOP
270.385 470.066 M ( )S
FmE
85 0 :M
f203 sf
( )S
87 0 :M
FrMacBegin
B
0 FmP
F FmOP
272.885 470.066 M (b)S
FmE
87 0 :M
f148 sf
( )S
89 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 482.066 M (d.)S
10.5 N (V)S
-1.111 N (ector clocks and causal relation)S
60 494.066 M (e.)S
11.062 N (ordering of messages so you recei)S
-0.251 N (v)S
-0.151 N (e them in the order sent)S
78 506.066 M (i.)S
12.722 N (wh)S
-0.051 N (y)S
78 518.066 M (ii.)S
9.943 N (for broadcast \(ISIS\): Birman-Schiper)S
-0.2 N (-Stephenson)S
78 530.066 M (iii.)S
7.165 N (for point to point: Schiper)S
-0.2 N (-Eggli-Sandoz)S
42 542.366 M (6.)S
10.5 N (Global state)S
60 554.666 M (a.)S
11.062 N (Sho)S
-0.251 N (w problem of slicing state when something is in transit)S
60 566.666 M (b)S
-0.4 N (.)S
10.9 N (De\336)S
(ne local state; )S
FmE
90 0 :M
f203 sf
( )S
92 0 :M
FrMacBegin
B
0 FmP
F FmOP
152.69 566.666 M (send)S
FmE
92 0 :M
f148 sf
( )S
94 0 :M
FrMacBegin
B
0 FmP
F FmOP
171.018 566.666 M (\()S
FmE
95 0 :M
f203 sf
( )S
97 0 :M
FrMacBegin
B
0 FmP
F FmOP
174.345 566.666 M (m)S
FmE
97 0 :M
f250 sf
( )S
99 0 :M
FrMacBegin
B
0 FmP
F FmOP
181.564 569.166 M (ij)S
FmE
99 0 :M
f148 sf
( )S
101 0 :M
FrMacBegin
B
0 FmP
F FmOP
186.01 566.666 M (\) )S
FmE
102 0 :M
f237 sf
( )S
104 0 :M
FrMacBegin
B
0 FmP
F FmOP
191.837 566.666 M (\316)S
FmE
104 0 :M
f148 sf
( )S
106 0 :M
FrMacBegin
B
0 FmP
F FmOP
198.966 566.666 M ( )S
FmE
107 0 :M
f203 sf
( )S
109 0 :M
FrMacBegin
B
0 FmP
F FmOP
201.466 566.666 M (LS)S
FmE
109 0 :M
f250 sf
( )S
111 0 :M
FrMacBegin
B
0 FmP
F FmOP
212.025 569.166 M (i)S
FmE
111 0 :M
f148 sf
( )S
113 0 :M
FrMacBegin
B
0 FmP
F FmOP
214.248 566.666 M ( if)S
-0.251 N (f time of )S
FmE
114 0 :M
f203 sf
( )S
116 0 :M
FrMacBegin
B
0 FmP
F FmOP
259.531 566.666 M (send)S
FmE
116 0 :M
f148 sf
( )S
118 0 :M
FrMacBegin
B
0 FmP
F FmOP
277.859 566.666 M (\()S
FmE
119 0 :M
f203 sf
( )S
121 0 :M
FrMacBegin
B
0 FmP
F FmOP
281.187 566.666 M (m)S
FmE
121 0 :M
f250 sf
( )S
123 0 :M
FrMacBegin
B
0 FmP
F FmOP
288.406 569.166 M (ij)S
FmE
123 0 :M
f148 sf
( )S
125 0 :M
FrMacBegin
B
0 FmP
F FmOP
292.851 566.666 M (\) < current time of )S
FmE
126 0 :M
f203 sf
( )S
128 0 :M
FrMacBegin
B
0 FmP
F FmOP
368.73 566.666 M (LS)S
FmE
128 0 :M
f250 sf
( )S
130 0 :M
FrMacBegin
B
0 FmP
F FmOP
379.289 569.166 M (i)S
FmE
130 0 :M
f148 sf
( )S
132 0 :M
FrMacBegin
B
0 FmP
F FmOP
381.512 566.666 M (; similar for recei)S
-0.251 N (v)S
-0.151 N (e)S
60 580.499 M (c.)S
11.062 N (transit\()S
FmE
133 0 :M
f203 sf
( )S
135 0 :M
FrMacBegin
B
0 FmP
F FmOP
106.318 580.499 M (LS)S
FmE
135 0 :M
f250 sf
( )S
137 0 :M
FrMacBegin
B
0 FmP
F FmOP
116.877 582.999 M (i)S
FmE
137 0 :M
f148 sf
( )S
139 0 :M
FrMacBegin
B
0 FmP
F FmOP
119.1 580.499 M (, )S
FmE
140 0 :M
f203 sf
( )S
142 0 :M
FrMacBegin
B
0 FmP
F FmOP
124.1 580.499 M (LS)S
FmE
142 0 :M
f250 sf
( )S
144 0 :M
FrMacBegin
B
0 FmP
F FmOP
134.659 582.999 M (j)S
FmE
144 0 :M
f148 sf
( )S
146 0 :M
FrMacBegin
B
0 FmP
F FmOP
136.881 580.499 M (\); inconsistent\()S
FmE
147 0 :M
f203 sf
( )S
149 0 :M
FrMacBegin
B
0 FmP
F FmOP
196.583 580.499 M (LS)S
FmE
149 0 :M
f250 sf
( )S
151 0 :M
FrMacBegin
B
0 FmP
F FmOP
207.143 582.999 M (i)S
FmE
151 0 :M
f148 sf
( )S
153 0 :M
FrMacBegin
B
0 FmP
F FmOP
209.365 580.499 M (, )S
FmE
154 0 :M
f203 sf
( )S
156 0 :M
FrMacBegin
B
0 FmP
F FmOP
214.365 580.499 M (LS)S
FmE
156 0 :M
f250 sf
( )S
158 0 :M
FrMacBegin
B
0 FmP
F FmOP
224.924 582.999 M (j)S
FmE
158 0 :M
f148 sf
( )S
160 0 :M
FrMacBegin
B
0 FmP
F FmOP
227.147 580.499 M (\); consistent state is one with inconsistent set empty for all pairs )S
FmE
161 0 :M
f203 sf
( )S
163 0 :M
FrMacBegin
B
0 FmP
F FmOP
485.401 580.499 M (LS)S
FmE
163 0 :M
f250 sf
( )S
165 0 :M
FrMacBegin
B
0 FmP
F FmOP
495.96 582.999 M (i)S
FmE
165 0 :M
f148 sf
( )S
167 0 :M
FrMacBegin
B
0 FmP
F FmOP
498.183 580.499 M (, )S
FmE
168 0 :M
f203 sf
( )S
170 0 :M
FrMacBegin
B
0 FmP
F FmOP
78 594.332 M (LS)S
FmE
170 0 :M
f250 sf
( )S
172 0 :M
FrMacBegin
B
0 FmP
F FmOP
88.559 596.832 M (j)S
FmE
172 0 :M
f148 sf
( )S
174 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 608.166 M (d.)S
10.5 N (Consistent global state: Chandry-Lamport)S
42 620.466 M (7.)S
10.5 N (T)S
-0.701 N (ermination detection)S
60 632.766 M (a.)S
11.062 N (Haung)S
FmE
endp
showpage
%%PageTrailer
%%Page: 2 2
%%PageProcessColors: Black
%%PageCustomColors: 
%%BeginPageSetup
initializepage
(The Bishops; page: 2 of 10)setjob
%%EndPageSetup
gS 0 0 552 728 rC
175 0 :M
FrMacBegin
0 FmP
F FmOP
0 FmSP
FmE
42 14 468 14 rC
175 0 :M
FrMacBegin
42 15 468 12 FmKp
B
0 FmP
F FmOP
42 16 FmB
468 0 FmL
2 1 FmSo
42 19 FmB
468 0 FmL
2 1 FmSo
FmE
gR
gS 0 0 552 728 rC
175 0 :M
f148 sf
( )S
177 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 11.667 M (February 17, 2000)S
112.359 N (ECS 251 \320 Winter 2000)S
159.015 N (Page )S
(2)S
157.278 725 M (Last modified at )S
(11:37 pm on Thursday, February 17, 2000)S
FmE
178 0 :M
f175 sf
( )S
182 0 :M
FrMacBegin
B
0 FmP
F FmOP
207.103 53 M (Lamport\325)S
-0.668 N (s Clocks)S
FmE
182 0 :M
f263 sf
( )S
185 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 85 M (Intr)S
-0.217 N (oduction)S
FmE
185 0 :M
f148 sf
( )S
187 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 102.667 M (Lamport\325)S
-0.552 N (s clocks k)S
-0.1 N (eep a virtual time among distrib)S
-0.2 N (uted systems. )S
-0.181 N (The goal is to pro)S
-0.151 N (vide an ordering upon e)S
-0.251 N (v)S
-0.151 N (ents )S
42 114.667 M (within the system.)S
FmE
188 0 :M
f263 sf
( )S
191 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 140 M (Notation)S
FmE
191 0 :M
f148 sf
( )S
193 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 157.667 M (\245)S
FmE
193 0 :M
f203 sf
( )S
195 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 157.667 M (P)S
FmE
196 0 :M
f250 sf
( )S
198 0 :M
FrMacBegin
B
0 FmP
F FmOP
66.108 160.167 M (i)S
FmE
198 0 :M
f148 sf
( )S
200 0 :M
FrMacBegin
B
0 FmP
F FmOP
68.331 157.667 M ( process)S
42 174.5 M (\245)S
FmE
200 0 :M
f203 sf
( )S
202 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 174.5 M (C)S
FmE
203 0 :M
f250 sf
( )S
205 0 :M
FrMacBegin
B
0 FmP
F FmOP
66.67 177 M (i)S
FmE
205 0 :M
f148 sf
( )S
207 0 :M
FrMacBegin
B
0 FmP
F FmOP
68.893 174.5 M (. clock associated with process )S
FmE
207 0 :M
f203 sf
( )S
209 0 :M
FrMacBegin
B
0 FmP
F FmOP
194.396 174.5 M (P)S
FmE
210 0 :M
f250 sf
( )S
212 0 :M
FrMacBegin
B
0 FmP
F FmOP
200.504 177 M (i)S
FmE
212 0 :M
f263 sf
( )S
215 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 201.667 M (Pr)S
-0.217 N (otocol)S
FmE
215 0 :M
f148 sf
( )S
217 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 217.333 M (1.)S
10.5 N (Increment clock )S
FmE
217 0 :M
f203 sf
( )S
219 0 :M
FrMacBegin
B
0 FmP
F FmOP
127.183 217.333 M (C)S
FmE
220 0 :M
f250 sf
( )S
222 0 :M
FrMacBegin
B
0 FmP
F FmOP
133.853 219.833 M (i)S
FmE
222 0 :M
f148 sf
( )S
224 0 :M
FrMacBegin
B
0 FmP
F FmOP
136.075 217.333 M ( between an)S
-0.151 N (y tw)S
-0.1 N (o successi)S
-0.251 N (v)S
-0.151 N (e e)S
-0.251 N (v)S
-0.151 N (ents in process )S
FmE
224 0 :M
f203 sf
( )S
226 0 :M
FrMacBegin
B
0 FmP
F FmOP
323.272 217.333 M (P)S
FmE
227 0 :M
f250 sf
( )S
229 0 :M
FrMacBegin
B
0 FmP
F FmOP
329.381 219.833 M (i)S
FmE
229 0 :M
f148 sf
( )S
231 0 :M
FrMacBegin
B
0 FmP
F FmOP
331.604 217.333 M (: )S
FmE
231 0 :M
f203 sf
( )S
233 0 :M
FrMacBegin
B
0 FmP
F FmOP
336.882 217.333 M (C)S
FmE
234 0 :M
f250 sf
( )S
236 0 :M
FrMacBegin
B
0 FmP
F FmOP
343.552 219.833 M (i)S
FmE
236 0 :M
f148 sf
( )S
238 0 :M
FrMacBegin
B
0 FmP
F FmOP
345.774 217.333 M ( )S
FmE
238 0 :M
f237 sf
( )S
240 0 :M
FrMacBegin
B
0 FmP
F FmOP
348.274 217.333 M (\254)S
FmE
241 0 :M
f148 sf
( )S
243 0 :M
FrMacBegin
B
0 FmP
F FmOP
358.143 217.333 M ( )S
FmE
243 0 :M
f203 sf
( )S
245 0 :M
FrMacBegin
B
0 FmP
F FmOP
360.643 217.333 M (C)S
FmE
246 0 :M
f250 sf
( )S
248 0 :M
FrMacBegin
B
0 FmP
F FmOP
367.313 219.833 M (i)S
FmE
248 0 :M
f148 sf
( )S
250 0 :M
FrMacBegin
B
0 FmP
F FmOP
369.535 217.333 M ( + )S
FmE
250 0 :M
f203 sf
( )S
252 0 :M
FrMacBegin
B
0 FmP
F FmOP
380.175 217.333 M (d)S
FmE
253 0 :M
f148 sf
( )S
255 0 :M
FrMacBegin
B
0 FmP
F FmOP
385.175 217.333 M ( \()S
FmE
255 0 :M
f203 sf
( )S
257 0 :M
FrMacBegin
B
0 FmP
F FmOP
391.002 217.333 M (d)S
FmE
258 0 :M
f148 sf
( )S
260 0 :M
FrMacBegin
B
0 FmP
F FmOP
396.002 217.333 M ( > 0\))S
42 234.133 M (2.)S
10.5 N -0.152(Let e)W
-0.251 N (v)S
-0.151 N -0.152(ent )W
FmE
260 0 :M
f203 sf
( )S
262 0 :M
FrMacBegin
B
0 FmP
F FmOP
99.273 234.133 M (a)S
FmE
263 0 :M
f148 sf
( )S
265 0 :M
FrMacBegin
B
0 FmP
F FmOP
104.273 234.133 M -0.152( be the sending of a message by process )W
FmE
265 0 :M
f203 sf
( )S
267 0 :M
FrMacBegin
B
0 FmP
F FmOP
264.786 234.133 M (P)S
FmE
268 0 :M
f250 sf
( )S
270 0 :M
FrMacBegin
B
0 FmP
F FmOP
270.894 236.633 M (i)S
FmE
270 0 :M
f148 sf
( )S
272 0 :M
FrMacBegin
B
0 FmP
F FmOP
273.117 234.133 M -0.152(; it is gi)W
-0.251 N (v)S
-0.151 N -0.152(en the timestamp )W
FmE
272 0 :M
f203 sf
( )S
274 0 :M
FrMacBegin
B
0 FmP
F FmOP
377.895 234.133 M (t)S
FmE
275 0 :M
f250 sf
( )S
277 0 :M
FrMacBegin
B
0 FmP
F FmOP
380.673 230.133 M (a)S
FmE
277 0 :M
f148 sf
( )S
279 0 :M
FrMacBegin
B
0 FmP
F FmOP
384.673 234.133 M -0.152( = )W
FmE
279 0 :M
f203 sf
( )S
281 0 :M
FrMacBegin
B
0 FmP
F FmOP
395.009 234.133 M (C)S
FmE
282 0 :M
f250 sf
( )S
284 0 :M
FrMacBegin
B
0 FmP
F FmOP
401.678 236.633 M (i)S
FmE
284 0 :M
f148 sf
( )S
286 0 :M
FrMacBegin
B
0 FmP
F FmOP
403.901 234.133 M (\()S
FmE
286 0 :M
f203 sf
( )S
288 0 :M
FrMacBegin
B
0 FmP
F FmOP
407.229 234.133 M (a)S
FmE
289 0 :M
f148 sf
( )S
291 0 :M
FrMacBegin
B
0 FmP
F FmOP
412.229 234.133 M -0.152(\). Let )W
FmE
291 0 :M
f203 sf
( )S
293 0 :M
FrMacBegin
B
0 FmP
F FmOP
436.077 234.133 M (b)S
FmE
294 0 :M
f148 sf
( )S
296 0 :M
FrMacBegin
B
0 FmP
F FmOP
441.077 234.133 M -0.152( be the receipt of )W
60 250.633 M (that message by )S
FmE
296 0 :M
f203 sf
( )S
298 0 :M
FrMacBegin
B
0 FmP
F FmOP
126.367 250.633 M (P)S
FmE
299 0 :M
f250 sf
( )S
301 0 :M
FrMacBegin
B
0 FmP
F FmOP
132.476 253.133 M (j)S
FmE
301 0 :M
f148 sf
( )S
303 0 :M
FrMacBegin
B
0 FmP
F FmOP
134.698 250.633 M (. )S
-0.181 N (Then when )S
FmE
303 0 :M
f203 sf
( )S
305 0 :M
FrMacBegin
B
0 FmP
F FmOP
186.722 250.633 M (P)S
FmE
306 0 :M
f250 sf
( )S
308 0 :M
FrMacBegin
B
0 FmP
F FmOP
192.831 253.133 M (j)S
FmE
308 0 :M
f148 sf
( )S
310 0 :M
FrMacBegin
B
0 FmP
F FmOP
195.053 250.633 M ( recei)S
-0.251 N (v)S
-0.151 N (es the message, )S
FmE
310 0 :M
f203 sf
( )S
312 0 :M
FrMacBegin
B
0 FmP
F FmOP
285.988 250.633 M (C)S
FmE
313 0 :M
f250 sf
( )S
315 0 :M
FrMacBegin
B
0 FmP
F FmOP
292.658 253.133 M (j)S
FmE
315 0 :M
f148 sf
( )S
317 0 :M
FrMacBegin
B
0 FmP
F FmOP
294.881 250.633 M ( )S
FmE
317 0 :M
f237 sf
( )S
319 0 :M
FrMacBegin
B
0 FmP
F FmOP
297.381 250.633 M (\254)S
FmE
320 0 :M
f148 sf
( )S
322 0 :M
FrMacBegin
B
0 FmP
F FmOP
307.249 250.633 M ( max\()S
FmE
322 0 :M
f203 sf
( )S
324 0 :M
FrMacBegin
B
0 FmP
F FmOP
330.293 250.633 M (C)S
FmE
325 0 :M
f250 sf
( )S
327 0 :M
FrMacBegin
B
0 FmP
F FmOP
336.963 253.133 M (j)S
FmE
327 0 :M
f148 sf
( )S
329 0 :M
FrMacBegin
B
0 FmP
F FmOP
339.186 250.633 M (, )S
FmE
329 0 :M
f203 sf
( )S
331 0 :M
FrMacBegin
B
0 FmP
F FmOP
344.186 250.633 M (t)S
FmE
332 0 :M
f250 sf
( )S
334 0 :M
FrMacBegin
B
0 FmP
F FmOP
346.964 246.633 M (a)S
FmE
334 0 :M
f148 sf
( )S
336 0 :M
FrMacBegin
B
0 FmP
F FmOP
350.964 250.633 M ( + )S
FmE
336 0 :M
f203 sf
( )S
338 0 :M
FrMacBegin
B
0 FmP
F FmOP
361.604 250.633 M (d)S
FmE
339 0 :M
f148 sf
( )S
341 0 :M
FrMacBegin
B
0 FmP
F FmOP
366.604 250.633 M (\) \()S
FmE
341 0 :M
f203 sf
( )S
343 0 :M
FrMacBegin
B
0 FmP
F FmOP
375.759 250.633 M (d)S
FmE
344 0 :M
f148 sf
( )S
346 0 :M
FrMacBegin
B
0 FmP
F FmOP
380.759 250.633 M ( > 0\))S
FmE
346 0 :M
f263 sf
( )S
349 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 277.799 M (Example)S
FmE
349 0 :M
f148 sf
( )S
351 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 439.466 M -0.304(Assume all clocks start at 0, and )W
FmE
352 0 :M
f203 sf
( )S
354 0 :M
FrMacBegin
B
0 FmP
F FmOP
171.493 439.466 M (d)S
FmE
354 0 :M
f148 sf
( )S
356 0 :M
FrMacBegin
B
0 FmP
F FmOP
176.493 439.466 M -0.304( is 1 \(that is, each e)W
-0.251 N (v)S
-0.151 N -0.304(ent incrememts the clock by 1\). )W
-0.552 N -0.304(At e)W
-0.251 N (v)S
-0.151 N -0.304(ent )W
FmE
357 0 :M
f203 sf
( )S
359 0 :M
FrMacBegin
B
0 FmP
F FmOP
418.005 439.466 M (e)S
FmE
359 0 :M
f276 sf
( )S
361 0 :M
FrMacBegin
B
0 FmP
F FmOP
422.443 441.966 M (12)S
FmE
361 0 :M
f148 sf
( )S
363 0 :M
FrMacBegin
B
0 FmP
F FmOP
430.443 439.466 M -0.304(, )W
FmE
364 0 :M
f203 sf
( )S
366 0 :M
FrMacBegin
B
0 FmP
F FmOP
435.139 439.466 M (C)S
FmE
366 0 :M
f276 sf
( )S
368 0 :M
FrMacBegin
B
0 FmP
F FmOP
441.809 441.966 M (1)S
FmE
368 0 :M
f148 sf
( )S
370 0 :M
FrMacBegin
B
0 FmP
F FmOP
445.809 439.466 M (\()S
FmE
371 0 :M
f203 sf
( )S
373 0 :M
FrMacBegin
B
0 FmP
F FmOP
449.136 439.466 M (e)S
FmE
373 0 :M
f276 sf
( )S
375 0 :M
FrMacBegin
B
0 FmP
F FmOP
453.575 441.966 M (12)S
FmE
375 0 :M
f148 sf
( )S
377 0 :M
FrMacBegin
B
0 FmP
F FmOP
461.575 439.466 M -0.304(\) = 2. Ev)W
-0.151 N -0.304(ent )W
FmE
378 0 :M
f203 sf
( )S
380 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 453.299 M (e)S
FmE
380 0 :M
f276 sf
( )S
382 0 :M
FrMacBegin
B
0 FmP
F FmOP
46.438 455.799 M (12)S
FmE
382 0 :M
f148 sf
( )S
384 0 :M
FrMacBegin
B
0 FmP
F FmOP
54.438 453.299 M -0.257( is the sending of a message to)W
FmE
385 0 :M
f203 sf
( )S
387 0 :M
FrMacBegin
B
0 FmP
F FmOP
174.549 453.299 M -0.257( P)W
FmE
387 0 :M
f276 sf
( )S
389 0 :M
FrMacBegin
B
0 FmP
F FmOP
182.901 455.799 M (2)S
FmE
389 0 :M
f148 sf
( )S
391 0 :M
FrMacBegin
B
0 FmP
F FmOP
186.901 453.299 M -0.257(. )W
-0.3 N -0.257(When )W
FmE
392 0 :M
f203 sf
( )S
394 0 :M
FrMacBegin
B
0 FmP
F FmOP
217.465 453.299 M (P)S
FmE
394 0 :M
f276 sf
( )S
396 0 :M
FrMacBegin
B
0 FmP
F FmOP
223.573 455.799 M (2)S
FmE
396 0 :M
f148 sf
( )S
398 0 :M
FrMacBegin
B
0 FmP
F FmOP
227.573 453.299 M -0.257( recei)W
-0.251 N (v)S
-0.151 N -0.257(es the message \(e)W
-0.251 N (v)S
-0.151 N (ent)S
FmE
399 0 :M
f203 sf
( )S
401 0 :M
FrMacBegin
B
0 FmP
F FmOP
339.562 453.299 M -0.257( e)W
FmE
401 0 :M
f276 sf
( )S
403 0 :M
FrMacBegin
B
0 FmP
F FmOP
346.244 455.799 M (23)S
FmE
403 0 :M
f148 sf
( )S
405 0 :M
FrMacBegin
B
0 FmP
F FmOP
354.244 453.299 M -0.257(\), its clock )W
FmE
406 0 :M
f203 sf
( )S
408 0 :M
FrMacBegin
B
0 FmP
F FmOP
397.903 453.299 M (C)S
FmE
408 0 :M
f276 sf
( )S
410 0 :M
FrMacBegin
B
0 FmP
F FmOP
404.573 455.799 M (2)S
FmE
410 0 :M
f148 sf
( )S
412 0 :M
FrMacBegin
B
0 FmP
F FmOP
408.573 453.299 M -0.257( = 2. )W
-0.181 N -0.257(The clock is reset to )W
42 467.133 M (3. Ev)S
-0.151 N (ent )S
FmE
413 0 :M
f203 sf
( )S
415 0 :M
FrMacBegin
B
0 FmP
F FmOP
77.674 467.133 M (e)S
FmE
415 0 :M
f276 sf
( )S
417 0 :M
FrMacBegin
B
0 FmP
F FmOP
82.112 469.633 M (24)S
FmE
417 0 :M
f148 sf
( )S
419 0 :M
FrMacBegin
B
0 FmP
F FmOP
90.112 467.133 M ( is )S
FmE
420 0 :M
f203 sf
( )S
422 0 :M
FrMacBegin
B
0 FmP
F FmOP
101.78 467.133 M (P)S
FmE
422 0 :M
f276 sf
( )S
424 0 :M
FrMacBegin
B
0 FmP
F FmOP
107.888 469.633 M (2)S
FmE
424 0 :M
f148 sf
( )S
426 0 :M
FrMacBegin
B
0 FmP
F FmOP
111.888 467.133 M (\325)S
-0.552 N (s sending a message to )S
FmE
427 0 :M
f203 sf
( )S
429 0 :M
FrMacBegin
B
0 FmP
F FmOP
208.248 467.133 M (P)S
FmE
429 0 :M
f276 sf
( )S
431 0 :M
FrMacBegin
B
0 FmP
F FmOP
214.356 469.633 M (3)S
FmE
431 0 :M
f148 sf
( )S
433 0 :M
FrMacBegin
B
0 FmP
F FmOP
218.356 467.133 M (. )S
-0.181 N (That message is recei)S
-0.251 N (v)S
-0.151 N (ed at )S
FmE
434 0 :M
f203 sf
( )S
436 0 :M
FrMacBegin
B
0 FmP
F FmOP
335.214 467.133 M (e)S
FmE
436 0 :M
f276 sf
( )S
438 0 :M
FrMacBegin
B
0 FmP
F FmOP
339.653 469.633 M (32)S
FmE
438 0 :M
f148 sf
( )S
440 0 :M
FrMacBegin
B
0 FmP
F FmOP
347.653 467.133 M (. )S
FmE
441 0 :M
f203 sf
( )S
443 0 :M
FrMacBegin
B
0 FmP
F FmOP
352.653 467.133 M (C)S
FmE
443 0 :M
f276 sf
( )S
445 0 :M
FrMacBegin
B
0 FmP
F FmOP
359.323 469.633 M (3)S
FmE
445 0 :M
f148 sf
( )S
447 0 :M
FrMacBegin
B
0 FmP
F FmOP
363.323 467.133 M ( is 1 \(as one e)S
-0.251 N (v)S
-0.151 N (ent has passed\). By )S
42 480.966 M (rule 2, )S
FmE
448 0 :M
f203 sf
( )S
450 0 :M
FrMacBegin
B
0 FmP
F FmOP
70.044 480.966 M (C)S
FmE
450 0 :M
f276 sf
( )S
452 0 :M
FrMacBegin
B
0 FmP
F FmOP
76.714 483.466 M (3)S
FmE
452 0 :M
f148 sf
( )S
454 0 :M
FrMacBegin
B
0 FmP
F FmOP
80.714 480.966 M ( is reset to the maximum of )S
FmE
455 0 :M
f203 sf
( )S
457 0 :M
FrMacBegin
B
0 FmP
F FmOP
192.628 480.966 M (C)S
FmE
457 0 :M
f276 sf
( )S
459 0 :M
FrMacBegin
B
0 FmP
F FmOP
199.298 483.466 M (2)S
FmE
459 0 :M
f148 sf
( )S
461 0 :M
FrMacBegin
B
0 FmP
F FmOP
203.298 480.966 M (\()S
FmE
462 0 :M
f203 sf
( )S
464 0 :M
FrMacBegin
B
0 FmP
F FmOP
206.626 480.966 M (c)S
FmE
464 0 :M
f276 sf
( )S
466 0 :M
FrMacBegin
B
0 FmP
F FmOP
211.064 483.466 M (24)S
FmE
466 0 :M
f148 sf
( )S
468 0 :M
FrMacBegin
B
0 FmP
F FmOP
219.064 480.966 M (\)+1 and the current v)S
-0.251 N (alue of )S
FmE
469 0 :M
f203 sf
( )S
471 0 :M
FrMacBegin
B
0 FmP
F FmOP
332.729 480.966 M (C)S
FmE
471 0 :M
f276 sf
( )S
473 0 :M
FrMacBegin
B
0 FmP
F FmOP
339.399 483.466 M (3)S
FmE
473 0 :M
f148 sf
( )S
475 0 :M
FrMacBegin
B
0 FmP
F FmOP
343.399 480.966 M (, so )S
FmE
476 0 :M
f203 sf
( )S
478 0 :M
FrMacBegin
B
0 FmP
F FmOP
359.788 480.966 M (C)S
FmE
478 0 :M
f276 sf
( )S
480 0 :M
FrMacBegin
B
0 FmP
F FmOP
366.458 483.466 M (3)S
FmE
480 0 :M
f148 sf
( )S
482 0 :M
FrMacBegin
B
0 FmP
F FmOP
370.458 480.966 M ( becomes 5.)S
FmE
483 0 :M
f263 sf
( )S
486 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 508.133 M (Pr)S
-0.217 N (oblem)S
FmE
486 0 :M
f148 sf
( )S
488 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 525.799 M (Clearly)S
-0.652 N (, if a )S
FmE
488 0 :M
f237 sf
( )S
490 0 :M
FrMacBegin
B
0 FmP
F FmOP
91.324 525.799 M (\256)S
FmE
491 0 :M
f148 sf
( )S
493 0 :M
FrMacBegin
B
0 FmP
F FmOP
101.192 525.799 M ( b, then )S
FmE
493 0 :M
f203 sf
( )S
495 0 :M
FrMacBegin
B
0 FmP
F FmOP
133.409 525.799 M (C)S
FmE
496 0 :M
f148 sf
( )S
498 0 :M
FrMacBegin
B
0 FmP
F FmOP
140.079 525.799 M (\()S
FmE
498 0 :M
f203 sf
( )S
500 0 :M
FrMacBegin
B
0 FmP
F FmOP
143.406 525.799 M (a)S
FmE
501 0 :M
f148 sf
( )S
503 0 :M
FrMacBegin
B
0 FmP
F FmOP
148.406 525.799 M (\) < )S
FmE
503 0 :M
f203 sf
( )S
505 0 :M
FrMacBegin
B
0 FmP
F FmOP
162.374 525.799 M (C)S
FmE
506 0 :M
f148 sf
( )S
508 0 :M
FrMacBegin
B
0 FmP
F FmOP
169.043 525.799 M (\()S
FmE
508 0 :M
f203 sf
( )S
510 0 :M
FrMacBegin
B
0 FmP
F FmOP
172.371 525.799 M (b)S
FmE
511 0 :M
f148 sf
( )S
513 0 :M
FrMacBegin
B
0 FmP
F FmOP
177.371 525.799 M (\). But if )S
FmE
513 0 :M
f203 sf
( )S
515 0 :M
FrMacBegin
B
0 FmP
F FmOP
211.253 525.799 M (C)S
FmE
516 0 :M
f148 sf
( )S
518 0 :M
FrMacBegin
B
0 FmP
F FmOP
217.923 525.799 M (\()S
FmE
518 0 :M
f203 sf
( )S
520 0 :M
FrMacBegin
B
0 FmP
F FmOP
221.25 525.799 M (a)S
FmE
521 0 :M
f148 sf
( )S
523 0 :M
FrMacBegin
B
0 FmP
F FmOP
226.25 525.799 M (\) < )S
FmE
523 0 :M
f203 sf
( )S
525 0 :M
FrMacBegin
B
0 FmP
F FmOP
240.218 525.799 M (C)S
FmE
526 0 :M
f148 sf
( )S
528 0 :M
FrMacBegin
B
0 FmP
F FmOP
246.888 525.799 M (\()S
FmE
528 0 :M
f203 sf
( )S
530 0 :M
FrMacBegin
B
0 FmP
F FmOP
250.215 525.799 M (b)S
FmE
531 0 :M
f148 sf
( )S
533 0 :M
FrMacBegin
B
0 FmP
F FmOP
255.215 525.799 M (\), does )S
FmE
533 0 :M
f203 sf
( )S
535 0 :M
FrMacBegin
B
0 FmP
F FmOP
284.371 525.799 M (a)S
FmE
536 0 :M
f148 sf
( )S
538 0 :M
FrMacBegin
B
0 FmP
F FmOP
289.371 525.799 M ( )S
FmE
538 0 :M
f237 sf
( )S
540 0 :M
FrMacBegin
B
0 FmP
F FmOP
291.871 525.799 M (\256)S
FmE
541 0 :M
f148 sf
( )S
543 0 :M
FrMacBegin
B
0 FmP
F FmOP
301.739 525.799 M ( )S
FmE
543 0 :M
f203 sf
( )S
545 0 :M
FrMacBegin
B
0 FmP
F FmOP
304.239 525.799 M (b)S
FmE
546 0 :M
f148 sf
( )S
548 0 :M
FrMacBegin
B
0 FmP
F FmOP
309.239 525.799 M (?)S
42 537.799 M -0.211(The answer)W
-0.4 N -0.211(, surprisingly)W
-0.652 N -0.211(, is not necessarily)W
-0.652 N -0.211(. In the abo)W
-0.151 N (v)S
-0.151 N -0.211(e e)W
-0.151 N -0.211(xample, )W
FmE
548 0 :M
f203 sf
( )S
550 0 :M
FrMacBegin
B
0 FmP
F FmOP
306.519 537.799 M (C)S
FmE
551 0 :M
f276 sf
( )S
553 0 :M
FrMacBegin
B
0 FmP
F FmOP
313.189 540.299 M (3)S
FmE
553 0 :M
f148 sf
( )S
555 0 :M
FrMacBegin
B
0 FmP
F FmOP
317.189 537.799 M (\()S
FmE
555 0 :M
f203 sf
( )S
557 0 :M
FrMacBegin
B
0 FmP
F FmOP
320.517 537.799 M (e)S
FmE
558 0 :M
f276 sf
( )S
560 0 :M
FrMacBegin
B
0 FmP
F FmOP
324.955 540.299 M (31)S
FmE
560 0 :M
f148 sf
( )S
562 0 :M
FrMacBegin
B
0 FmP
F FmOP
332.955 537.799 M -0.211(\) = 1 < 2 = )W
FmE
562 0 :M
f203 sf
( )S
564 0 :M
FrMacBegin
B
0 FmP
F FmOP
376.938 537.799 M (C)S
FmE
565 0 :M
f276 sf
( )S
567 0 :M
FrMacBegin
B
0 FmP
F FmOP
383.607 540.299 M (1)S
FmE
567 0 :M
f148 sf
( )S
569 0 :M
FrMacBegin
B
0 FmP
F FmOP
387.607 537.799 M (\()S
FmE
569 0 :M
f203 sf
( )S
571 0 :M
FrMacBegin
B
0 FmP
F FmOP
390.935 537.799 M (e)S
FmE
572 0 :M
f276 sf
( )S
574 0 :M
FrMacBegin
B
0 FmP
F FmOP
395.374 540.299 M (12)S
FmE
574 0 :M
f148 sf
( )S
576 0 :M
FrMacBegin
B
0 FmP
F FmOP
403.374 537.799 M -0.211(\). But )W
FmE
576 0 :M
f203 sf
( )S
578 0 :M
FrMacBegin
B
0 FmP
F FmOP
428.228 537.799 M (e)S
FmE
579 0 :M
f276 sf
( )S
581 0 :M
FrMacBegin
B
0 FmP
F FmOP
432.667 540.299 M (31)S
FmE
581 0 :M
f148 sf
( )S
583 0 :M
FrMacBegin
B
0 FmP
F FmOP
440.667 537.799 M -0.211( and )W
FmE
583 0 :M
f203 sf
( )S
585 0 :M
FrMacBegin
B
0 FmP
F FmOP
459.684 537.799 M (e)S
FmE
586 0 :M
f276 sf
( )S
588 0 :M
FrMacBegin
B
0 FmP
F FmOP
464.122 540.299 M (12)S
FmE
588 0 :M
f148 sf
( )S
590 0 :M
FrMacBegin
B
0 FmP
F FmOP
472.122 537.799 M -0.211( are caus-)W
42 551.632 M (ally unrelated; that is, )S
FmE
590 0 :M
f203 sf
( )S
592 0 :M
FrMacBegin
B
0 FmP
F FmOP
131.136 551.632 M (e)S
FmE
593 0 :M
f276 sf
( )S
595 0 :M
FrMacBegin
B
0 FmP
F FmOP
135.574 554.132 M (31)S
FmE
595 0 :M
f148 sf
( )S
597 0 :M
FrMacBegin
B
0 FmP
F FmOP
143.574 551.632 M ( )S
FmE
597 0 :M
f237 sf
( )S
599 0 :M
FrMacBegin
B
0 FmP
F FmOP
146.074 551.632 M (\256)S
-8 N (/)S
FmE
600 0 :M
f203 sf
( )S
602 0 :M
FrMacBegin
B
0 FmP
F FmOP
158.721 551.632 M (e)S
FmE
602 0 :M
f276 sf
( )S
604 0 :M
FrMacBegin
B
0 FmP
F FmOP
163.159 554.132 M (12)S
FmE
604 0 :M
f148 sf
( )S
606 0 :M
FrMacBegin
B
0 FmP
F FmOP
171.159 551.632 M (. Ho)S
-0.251 N (we)S
-0.251 N (v)S
-0.151 N (er)S
-0.4 N (, )S
FmE
607 0 :M
f203 sf
( )S
609 0 :M
FrMacBegin
B
0 FmP
F FmOP
216.748 551.632 M (C)S
FmE
609 0 :M
f276 sf
( )S
611 0 :M
FrMacBegin
B
0 FmP
F FmOP
223.417 554.132 M (1)S
FmE
611 0 :M
f148 sf
( )S
613 0 :M
FrMacBegin
B
0 FmP
F FmOP
227.417 551.632 M (\()S
FmE
614 0 :M
f203 sf
( )S
616 0 :M
FrMacBegin
B
0 FmP
F FmOP
230.745 551.632 M (e)S
FmE
616 0 :M
f276 sf
( )S
618 0 :M
FrMacBegin
B
0 FmP
F FmOP
235.184 554.132 M (11)S
FmE
618 0 :M
f148 sf
( )S
620 0 :M
FrMacBegin
B
0 FmP
F FmOP
243.184 551.632 M (\) < )S
FmE
621 0 :M
f203 sf
( )S
623 0 :M
FrMacBegin
B
0 FmP
F FmOP
257.151 551.632 M (C)S
FmE
623 0 :M
f276 sf
( )S
625 0 :M
FrMacBegin
B
0 FmP
F FmOP
263.821 554.132 M (3)S
FmE
625 0 :M
f148 sf
( )S
627 0 :M
FrMacBegin
B
0 FmP
F FmOP
267.821 551.632 M (\()S
FmE
628 0 :M
f203 sf
( )S
630 0 :M
FrMacBegin
B
0 FmP
F FmOP
271.148 551.632 M (e)S
FmE
630 0 :M
f276 sf
( )S
632 0 :M
FrMacBegin
B
0 FmP
F FmOP
275.587 554.132 M (32)S
FmE
632 0 :M
f148 sf
( )S
634 0 :M
FrMacBegin
B
0 FmP
F FmOP
283.587 551.632 M (\), and clearly )S
FmE
635 0 :M
f203 sf
( )S
637 0 :M
FrMacBegin
B
0 FmP
F FmOP
338.553 551.632 M (e)S
FmE
637 0 :M
f276 sf
( )S
639 0 :M
FrMacBegin
B
0 FmP
F FmOP
342.991 554.132 M (11)S
FmE
639 0 :M
f148 sf
( )S
641 0 :M
FrMacBegin
B
0 FmP
F FmOP
350.991 551.632 M ( )S
FmE
642 0 :M
f237 sf
( )S
644 0 :M
FrMacBegin
B
0 FmP
F FmOP
353.491 551.632 M (\256)S
FmE
644 0 :M
f148 sf
( )S
646 0 :M
FrMacBegin
B
0 FmP
F FmOP
363.359 551.632 M ( )S
FmE
647 0 :M
f203 sf
( )S
649 0 :M
FrMacBegin
B
0 FmP
F FmOP
365.859 551.632 M (e)S
FmE
649 0 :M
f276 sf
( )S
651 0 :M
FrMacBegin
B
0 FmP
F FmOP
370.298 554.132 M (32)S
FmE
651 0 :M
f148 sf
( )S
653 0 :M
FrMacBegin
B
0 FmP
F FmOP
378.298 551.632 M (. Hence one cannot say one w)S
-0.1 N (ay )S
42 565.466 M (or the other)S
-0.552 N (.)S
FmE
42 281 468 145 rC
654 0 :M
FrMacBegin
42 281.799 468 144 FmKp
B
0 FmP
F FmOP
78 308.799 FmB
378 0 FmL
2 1 FmSo
78 344.799 FmB
378 0 FmL
2 1 FmSo
78 389.799 FmB
378 0 FmL
2 1 FmSo
0 360 4.5 4.5 0 T 109.5 308.299 FmAF
T 0 360 4.5 4.5 0 109.5 308.299 2 1 F FmAP
0 360 4.5 4.5 0 T 225.5 308.966 FmAF
T 0 360 4.5 4.5 0 225.5 308.966 2 1 F FmAP
0 360 4.5 4.5 0 T 166.833 344.966 FmAF
T 0 360 4.5 4.5 0 166.833 344.966 2 1 F FmAP
0 360 4.5 4.5 0 T 217.5 344.966 FmAF
T 0 360 4.5 4.5 0 217.5 344.966 2 1 F FmAP
0 360 4.5 4.5 0 T 129.5 390.966 FmAF
T 0 360 4.5 4.5 0 129.5 390.966 2 1 F FmAP
0 360 4.5 4.5 0 T 331.5 344.966 FmAF
T 0 360 4.5 4.5 0 331.5 344.966 2 1 F FmAP
0 360 4.5 4.5 0 T 405.5 390.299 FmAF
T 0 360 4.5 4.5 0 405.5 390.299 2 1 F FmAP
0 360 4.5 4.5 0 T 402.833 309.633 FmAF
T 0 360 4.5 4.5 0 402.833 309.633 2 1 F FmAP
FmE
654 0 :M
f289 sf
( )S
657 0 :M
FrMacBegin
42 281.799 468 144 FmKp
B
0 FmP
F FmOP
57.333 309.167 M (P)S
FmE
657 0 :M
f148 sf
( )S
659 0 :M
FrMacBegin
42 281.799 468 144 FmKp
B
0 FmP
F FmOP
FmG 64.663 312.167 M 0.96 0.96 scale (1)S FmR
FmE
660 0 :M
f289 sf
( )S
663 0 :M
FrMacBegin
42 281.799 468 144 FmKp
B
0 FmP
F FmOP
57.333 346.5 M (P)S
FmE
663 0 :M
f148 sf
( )S
665 0 :M
FrMacBegin
42 281.799 468 144 FmKp
B
0 FmP
F FmOP
FmG 64.663 349.5 M 0.96 0.96 scale (2)S FmR
FmE
665 0 :M
f289 sf
( )S
668 0 :M
FrMacBegin
42 281.799 468 144 FmKp
B
0 FmP
F FmOP
57.333 393.167 M (P)S
FmE
668 0 :M
f148 sf
( )S
670 0 :M
FrMacBegin
42 281.799 468 144 FmKp
B
0 FmP
F FmOP
FmG 64.663 396.167 M 0.96 0.96 scale (3)S FmR
FmG 106 300.833 M 0.96 0.96 scale (e11)S FmR
FmG 225.333 302.833 M 0.96 0.96 scale (e12)S FmR
FmG 164.667 337.5 M 0.96 0.96 scale (e21)S FmR
FmG 218 337.5 M 0.96 0.96 scale (e22)S FmR
FmG 308 337.5 M 0.96 0.96 scale (e23)S FmR
FmG 113.333 382.167 M 0.96 0.96 scale (e31)S FmR
FmG 404 382.833 M 0.96 0.96 scale (e32)S FmR
FmG 396.667 302.167 M 0.96 0.96 scale (e13)S FmR
293.693 336.127 FmB
1.257 -3.235 FmL
10.027 7.618 FmL
-12.54 -1.147 FmL
1 FmS
293.693 336.127 FmB
1.257 -3.235 FmL
10.027 7.618 FmL
-12.54 -1.147 FmL
FmFl
226 309.833 FmB
67.227 26.113 FmL
2 1 FmSo
384.972 312.971 FmB
-0.616 -3.416 FmL
12.529 1.266 FmL
-11.296 5.565 FmL
1 FmS
384.972 312.971 FmB
-0.616 -3.416 FmL
12.529 1.266 FmL
-11.296 5.565 FmL
FmFl
221.333 342.5 FmB
163.146 -29.44 FmL
2 1 FmSo
389.241 379.607 FmB
1.719 -3.015 FmL
8.798 9.01 FmL
-12.235 -2.979 FmL
1 FmS
389.241 379.607 FmB
1.719 -3.015 FmL
8.798 9.01 FmL
-12.235 -2.979 FmL
FmFl
334.667 348.5 FmB
54.14 30.86 FmL
2 1 FmSo
156.319 358.438 FmB
-2.645 -2.248 FmL
10.484 -6.975 FmL
-5.195 11.471 FmL
1 FmS
156.319 358.438 FmB
-2.645 -2.248 FmL
10.484 -6.975 FmL
-5.195 11.471 FmL
FmFl
131.333 387.833 FmB
24.662 -29.014 FmL
2 1 FmSo
0 360 4.5 4.5 0 T 308.167 344.966 FmAF
T 0 360 4.5 4.5 0 308.167 344.966 2 1 F FmAP
339.333 335.167 M (e24)S
FmE
endp
showpage
%%PageTrailer
%%Page: 3 3
%%PageProcessColors: Black
%%PageCustomColors: 
%%BeginPageSetup
initializepage
(The Bishops; page: 3 of 10)setjob
%%EndPageSetup
gS 0 0 552 728 rC
671 0 :M
FrMacBegin
0 FmP
F FmOP
0 FmSP
FmE
42 14 468 14 rC
671 0 :M
FrMacBegin
42 15 468 12 FmKp
B
0 FmP
F FmOP
42 16 FmB
468 0 FmL
2 1 FmSo
42 19 FmB
468 0 FmL
2 1 FmSo
FmE
gR
gS 0 0 552 728 rC
671 0 :M
f148 sf
( )S
673 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 11.667 M (February 17, 2000)S
112.359 N (ECS 251 \320 Winter 2000)S
159.015 N (Page )S
(3)S
157.278 725 M (Last modified at )S
(11:37 pm on Thursday, February 17, 2000)S
FmE
674 0 :M
f175 sf
( )S
678 0 :M
FrMacBegin
B
0 FmP
F FmOP
222.679 53 M (V)S
-1.802 N (ector Clocks)S
FmE
678 0 :M
f263 sf
( )S
681 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 85 M (Intr)S
-0.217 N (oduction)S
FmE
681 0 :M
f148 sf
( )S
683 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 102.667 M (This is based upon Lamport\325)S
-0.552 N (s clocks, b)S
-0.2 N (ut each process k)S
-0.1 N (eeps track of what is belie)S
-0.251 N (v)S
-0.151 N (es the other processes\325)S
-0.742 N ( interrnal )S
42 114.667 M (clocks are \(hence the name, v)S
-0.151 N (ector clocks\). )S
-0.181 N (The goal is to pro)S
-0.151 N (vide an ordering upon e)S
-0.251 N (v)S
-0.151 N (ents within the system.)S
FmE
684 0 :M
f263 sf
( )S
687 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 140 M (Notation)S
FmE
687 0 :M
f148 sf
( )S
689 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 157.667 M (\245)S
FmE
689 0 :M
f203 sf
( )S
691 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 157.667 M (n)S
FmE
692 0 :M
f148 sf
( )S
694 0 :M
FrMacBegin
B
0 FmP
F FmOP
65 157.667 M ( processes)S
42 172.667 M (\245)S
FmE
694 0 :M
f203 sf
( )S
696 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 172.667 M (P)S
FmE
697 0 :M
f250 sf
( )S
699 0 :M
FrMacBegin
B
0 FmP
F FmOP
66.108 175.167 M (i)S
FmE
699 0 :M
f148 sf
( )S
701 0 :M
FrMacBegin
B
0 FmP
F FmOP
68.331 172.667 M ( process)S
42 189.5 M (\245)S
FmE
701 0 :M
f203 sf
( )S
703 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 189.5 M (C)S
FmE
704 0 :M
f250 sf
( )S
706 0 :M
FrMacBegin
B
0 FmP
F FmOP
66.67 192 M (i)S
FmE
706 0 :M
f148 sf
( )S
708 0 :M
FrMacBegin
B
0 FmP
F FmOP
68.893 189.5 M -0.013(. v)W
-0.151 N -0.013(ector clock associated with process )W
FmE
708 0 :M
f203 sf
( )S
710 0 :M
FrMacBegin
B
0 FmP
F FmOP
221.65 189.5 M (P)S
FmE
711 0 :M
f250 sf
( )S
713 0 :M
FrMacBegin
B
0 FmP
F FmOP
227.759 192 M (i)S
FmE
713 0 :M
f148 sf
( )S
715 0 :M
FrMacBegin
B
0 FmP
F FmOP
229.981 189.5 M -0.013(; )W
FmE
715 0 :M
f203 sf
( )S
717 0 :M
FrMacBegin
B
0 FmP
F FmOP
235.247 189.5 M (j)S
FmE
718 0 :M
f148 sf
( )S
720 0 :M
FrMacBegin
B
0 FmP
F FmOP
238.025 189.5 M -0.013(th element is )W
FmE
720 0 :M
f203 sf
( )S
722 0 :M
FrMacBegin
B
0 FmP
F FmOP
291.583 189.5 M (C)S
FmE
723 0 :M
f250 sf
( )S
725 0 :M
FrMacBegin
B
0 FmP
F FmOP
298.253 192 M (i)S
FmE
725 0 :M
f148 sf
( )S
727 0 :M
FrMacBegin
B
0 FmP
F FmOP
300.476 189.5 M ([)S
FmE
727 0 :M
f203 sf
( )S
729 0 :M
FrMacBegin
B
0 FmP
F FmOP
303.803 189.5 M (j)S
FmE
730 0 :M
f148 sf
( )S
732 0 :M
FrMacBegin
B
0 FmP
F FmOP
306.582 189.5 M -0.013(] and contains )W
FmE
732 0 :M
f203 sf
( )S
734 0 :M
FrMacBegin
B
0 FmP
F FmOP
365.132 189.5 M (P)S
FmE
735 0 :M
f250 sf
( )S
737 0 :M
FrMacBegin
B
0 FmP
F FmOP
371.241 192 M (i)S
FmE
737 0 :M
f148 sf
( )S
739 0 :M
FrMacBegin
B
0 FmP
F FmOP
373.463 189.5 M (\325)S
-0.552 N -0.013(s latest v)W
-0.251 N -0.013(alue for the current time )W
60 203.333 M (in process )S
FmE
739 0 :M
f203 sf
( )S
741 0 :M
FrMacBegin
B
0 FmP
F FmOP
102.761 203.333 M (P)S
FmE
742 0 :M
f250 sf
( )S
744 0 :M
FrMacBegin
B
0 FmP
F FmOP
108.87 205.833 M (k)S
FmE
744 0 :M
f148 sf
( )S
746 0 :M
FrMacBegin
B
0 FmP
F FmOP
112.42 203.333 M (.)S
FmE
746 0 :M
f263 sf
( )S
749 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 230.5 M (Pr)S
-0.217 N (otocol)S
FmE
749 0 :M
f148 sf
( )S
751 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 246.166 M (1.)S
10.5 N (Increment clock )S
FmE
752 0 :M
f203 sf
( )S
754 0 :M
FrMacBegin
B
0 FmP
F FmOP
127.183 246.166 M (C)S
FmE
754 0 :M
f250 sf
( )S
756 0 :M
FrMacBegin
B
0 FmP
F FmOP
133.853 248.666 M (i)S
FmE
756 0 :M
f148 sf
( )S
758 0 :M
FrMacBegin
B
0 FmP
F FmOP
136.075 246.166 M ( between an)S
-0.151 N (y tw)S
-0.1 N (o successi)S
-0.251 N (v)S
-0.151 N (e e)S
-0.251 N (v)S
-0.151 N (ents in process )S
FmE
759 0 :M
f203 sf
( )S
761 0 :M
FrMacBegin
B
0 FmP
F FmOP
323.272 246.166 M (P)S
FmE
761 0 :M
f250 sf
( )S
763 0 :M
FrMacBegin
B
0 FmP
F FmOP
329.381 248.666 M (i)S
FmE
763 0 :M
f148 sf
( )S
765 0 :M
FrMacBegin
B
0 FmP
F FmOP
331.604 246.166 M (: )S
FmE
766 0 :M
f203 sf
( )S
768 0 :M
FrMacBegin
B
0 FmP
F FmOP
336.882 246.166 M (C)S
FmE
768 0 :M
f250 sf
( )S
770 0 :M
FrMacBegin
B
0 FmP
F FmOP
343.552 248.666 M (i)S
FmE
770 0 :M
f148 sf
( )S
772 0 :M
FrMacBegin
B
0 FmP
F FmOP
345.774 246.166 M ([)S
FmE
773 0 :M
f203 sf
( )S
775 0 :M
FrMacBegin
B
0 FmP
F FmOP
349.102 246.166 M (i)S
FmE
775 0 :M
f148 sf
( )S
777 0 :M
FrMacBegin
B
0 FmP
F FmOP
351.88 246.166 M (] )S
FmE
778 0 :M
f237 sf
( )S
780 0 :M
FrMacBegin
B
0 FmP
F FmOP
357.708 246.166 M (\254)S
FmE
780 0 :M
f148 sf
( )S
782 0 :M
FrMacBegin
B
0 FmP
F FmOP
367.576 246.166 M ( )S
FmE
783 0 :M
f203 sf
( )S
785 0 :M
FrMacBegin
B
0 FmP
F FmOP
370.076 246.166 M (C)S
FmE
785 0 :M
f250 sf
( )S
787 0 :M
FrMacBegin
B
0 FmP
F FmOP
376.746 248.666 M (i)S
FmE
787 0 :M
f148 sf
( )S
789 0 :M
FrMacBegin
B
0 FmP
F FmOP
378.969 246.166 M ([)S
FmE
790 0 :M
f203 sf
( )S
792 0 :M
FrMacBegin
B
0 FmP
F FmOP
382.296 246.166 M (i)S
FmE
792 0 :M
f148 sf
( )S
794 0 :M
FrMacBegin
B
0 FmP
F FmOP
385.075 246.166 M (] + )S
FmE
795 0 :M
f203 sf
( )S
797 0 :M
FrMacBegin
B
0 FmP
F FmOP
399.042 246.166 M (d)S
FmE
797 0 :M
f148 sf
( )S
799 0 :M
FrMacBegin
B
0 FmP
F FmOP
404.042 246.166 M ( \()S
FmE
800 0 :M
f203 sf
( )S
802 0 :M
FrMacBegin
B
0 FmP
F FmOP
409.87 246.166 M (d)S
FmE
802 0 :M
f148 sf
( )S
804 0 :M
FrMacBegin
B
0 FmP
F FmOP
414.87 246.166 M ( > 0\))S
42 262.966 M (2.)S
10.5 N (Let e)S
-0.251 N (v)S
-0.151 N (ent )S
FmE
805 0 :M
f203 sf
( )S
807 0 :M
FrMacBegin
B
0 FmP
F FmOP
99.578 262.966 M (a)S
FmE
807 0 :M
f148 sf
( )S
809 0 :M
FrMacBegin
B
0 FmP
F FmOP
104.578 262.966 M ( be the sending of a message by process )S
FmE
810 0 :M
f203 sf
( )S
812 0 :M
FrMacBegin
B
0 FmP
F FmOP
266.46 262.966 M (P)S
FmE
812 0 :M
f250 sf
( )S
814 0 :M
FrMacBegin
B
0 FmP
F FmOP
272.568 265.466 M (i)S
FmE
814 0 :M
f148 sf
( )S
816 0 :M
FrMacBegin
B
0 FmP
F FmOP
274.791 262.966 M (; it is gi)S
-0.251 N (v)S
-0.151 N (en the v)S
-0.151 N (ector timestamp )S
FmE
817 0 :M
f203 sf
( )S
819 0 :M
FrMacBegin
B
0 FmP
F FmOP
407.813 262.966 M (t)S
FmE
819 0 :M
f250 sf
( )S
821 0 :M
FrMacBegin
B
0 FmP
F FmOP
410.592 258.966 M (a)S
FmE
821 0 :M
f148 sf
( )S
823 0 :M
FrMacBegin
B
0 FmP
F FmOP
414.592 262.966 M ( = )S
FmE
824 0 :M
f203 sf
( )S
826 0 :M
FrMacBegin
B
0 FmP
F FmOP
425.231 262.966 M (C)S
FmE
826 0 :M
f250 sf
( )S
828 0 :M
FrMacBegin
B
0 FmP
F FmOP
431.901 265.466 M (i)S
FmE
828 0 :M
f148 sf
( )S
830 0 :M
FrMacBegin
B
0 FmP
F FmOP
434.124 262.966 M (\()S
FmE
831 0 :M
f203 sf
( )S
833 0 :M
FrMacBegin
B
0 FmP
F FmOP
437.452 262.966 M (a)S
FmE
833 0 :M
f148 sf
( )S
835 0 :M
FrMacBegin
B
0 FmP
F FmOP
442.452 262.966 M (\). Let )S
FmE
836 0 :M
f203 sf
( )S
838 0 :M
FrMacBegin
B
0 FmP
F FmOP
466.604 262.966 M (b)S
FmE
838 0 :M
f148 sf
( )S
840 0 :M
FrMacBegin
B
0 FmP
F FmOP
471.604 262.966 M ( be the )S
60 276.8 M (receipt of that message by )S
FmE
841 0 :M
f203 sf
( )S
843 0 :M
FrMacBegin
B
0 FmP
F FmOP
166.895 276.8 M (P)S
FmE
843 0 :M
f250 sf
( )S
845 0 :M
FrMacBegin
B
0 FmP
F FmOP
173.003 279.3 M (j)S
FmE
845 0 :M
f148 sf
( )S
847 0 :M
FrMacBegin
B
0 FmP
F FmOP
175.226 276.8 M (. )S
-0.181 N (Then when )S
FmE
848 0 :M
f203 sf
( )S
850 0 :M
FrMacBegin
B
0 FmP
F FmOP
227.25 276.8 M (P)S
FmE
850 0 :M
f250 sf
( )S
852 0 :M
FrMacBegin
B
0 FmP
F FmOP
233.358 279.3 M (j)S
FmE
852 0 :M
f148 sf
( )S
854 0 :M
FrMacBegin
B
0 FmP
F FmOP
235.581 276.8 M ( recei)S
-0.251 N (v)S
-0.151 N (es the message, it updates its v)S
-0.151 N (ector clock for all )S
FmE
855 0 :M
f203 sf
( )S
857 0 :M
FrMacBegin
B
0 FmP
F FmOP
457.7 276.8 M (k)S
FmE
857 0 :M
f148 sf
( )S
859 0 :M
FrMacBegin
B
0 FmP
F FmOP
462.138 276.8 M ( = 1, \311, )S
FmE
860 0 :M
f203 sf
( )S
862 0 :M
FrMacBegin
B
0 FmP
F FmOP
497.778 276.8 M (n)S
FmE
862 0 :M
f148 sf
( )S
864 0 :M
FrMacBegin
B
0 FmP
F FmOP
502.778 276.8 M (: )S
FmE
865 0 :M
f203 sf
( )S
867 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 293.299 M (C)S
FmE
867 0 :M
f250 sf
( )S
869 0 :M
FrMacBegin
B
0 FmP
F FmOP
66.67 295.799 M (j)S
FmE
869 0 :M
f148 sf
( )S
871 0 :M
FrMacBegin
B
0 FmP
F FmOP
68.893 293.299 M ([)S
FmE
872 0 :M
f203 sf
( )S
874 0 :M
FrMacBegin
B
0 FmP
F FmOP
72.22 293.299 M (k)S
FmE
874 0 :M
f148 sf
( )S
876 0 :M
FrMacBegin
B
0 FmP
F FmOP
76.659 293.299 M (] )S
FmE
877 0 :M
f237 sf
( )S
879 0 :M
FrMacBegin
B
0 FmP
F FmOP
82.486 293.299 M (\254)S
FmE
879 0 :M
f148 sf
( )S
881 0 :M
FrMacBegin
B
0 FmP
F FmOP
92.354 293.299 M ( max\()S
FmE
882 0 :M
f203 sf
( )S
884 0 :M
FrMacBegin
B
0 FmP
F FmOP
115.399 293.299 M (C)S
FmE
884 0 :M
f250 sf
( )S
886 0 :M
FrMacBegin
B
0 FmP
F FmOP
122.069 295.799 M (j)S
FmE
886 0 :M
f148 sf
( )S
888 0 :M
FrMacBegin
B
0 FmP
F FmOP
124.292 293.299 M ([)S
FmE
889 0 :M
f203 sf
( )S
891 0 :M
FrMacBegin
B
0 FmP
F FmOP
127.619 293.299 M (k)S
FmE
891 0 :M
f148 sf
( )S
893 0 :M
FrMacBegin
B
0 FmP
F FmOP
132.058 293.299 M (], )S
FmE
894 0 :M
f203 sf
( )S
896 0 :M
FrMacBegin
B
0 FmP
F FmOP
140.385 293.299 M (t)S
FmE
896 0 :M
f250 sf
( )S
898 0 :M
FrMacBegin
B
0 FmP
F FmOP
143.164 289.299 M (a)S
FmE
898 0 :M
f148 sf
( )S
900 0 :M
FrMacBegin
B
0 FmP
F FmOP
147.164 293.299 M ([)S
FmE
901 0 :M
f203 sf
( )S
903 0 :M
FrMacBegin
B
0 FmP
F FmOP
150.491 293.299 M (k)S
FmE
903 0 :M
f148 sf
( )S
905 0 :M
FrMacBegin
B
0 FmP
F FmOP
154.93 293.299 M (] + )S
FmE
906 0 :M
f203 sf
( )S
908 0 :M
FrMacBegin
B
0 FmP
F FmOP
168.897 293.299 M (d)S
FmE
908 0 :M
f148 sf
( )S
910 0 :M
FrMacBegin
B
0 FmP
F FmOP
173.897 293.299 M (\) \()S
FmE
911 0 :M
f203 sf
( )S
913 0 :M
FrMacBegin
B
0 FmP
F FmOP
183.052 293.299 M (d)S
FmE
913 0 :M
f148 sf
( )S
915 0 :M
FrMacBegin
B
0 FmP
F FmOP
188.052 293.299 M ( > 0\))S
FmE
916 0 :M
f263 sf
( )S
919 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 320.466 M (Example)S
FmE
919 0 :M
f148 sf
( )S
921 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 458.133 M (Here is the progression of time for the three processes:)S
FmE
921 0 :M
f203 sf
( )S
923 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 470.133 M (e)S
FmE
924 0 :M
f276 sf
( )S
926 0 :M
FrMacBegin
B
0 FmP
F FmOP
46.438 472.633 M (11)S
FmE
926 0 :M
f148 sf
( )S
928 0 :M
FrMacBegin
B
0 FmP
F FmOP
54.438 470.133 M (: )S
FmE
928 0 :M
f203 sf
( )S
930 0 :M
FrMacBegin
B
0 FmP
F FmOP
59.717 470.133 M (C)S
FmE
931 0 :M
f276 sf
( )S
933 0 :M
FrMacBegin
B
0 FmP
F FmOP
66.387 472.633 M (1)S
FmE
933 0 :M
f148 sf
( )S
935 0 :M
FrMacBegin
B
0 FmP
F FmOP
70.387 470.133 M ( = \(1, 0, 0\))S
FmE
935 0 :M
f203 sf
( )S
937 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 483.966 M (e)S
FmE
938 0 :M
f276 sf
( )S
940 0 :M
FrMacBegin
B
0 FmP
F FmOP
46.438 486.466 M (31)S
FmE
940 0 :M
f148 sf
( )S
942 0 :M
FrMacBegin
B
0 FmP
F FmOP
54.438 483.966 M (: )S
FmE
942 0 :M
f203 sf
( )S
944 0 :M
FrMacBegin
B
0 FmP
F FmOP
59.717 483.966 M (C)S
FmE
945 0 :M
f276 sf
( )S
947 0 :M
FrMacBegin
B
0 FmP
F FmOP
66.387 486.466 M (3)S
FmE
947 0 :M
f148 sf
( )S
949 0 :M
FrMacBegin
B
0 FmP
F FmOP
70.387 483.966 M ( = \(0, 0, 1\))S
FmE
949 0 :M
f203 sf
( )S
951 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 500.466 M (e)S
FmE
952 0 :M
f276 sf
( )S
954 0 :M
FrMacBegin
B
0 FmP
F FmOP
46.438 502.966 M (21)S
FmE
954 0 :M
f148 sf
( )S
956 0 :M
FrMacBegin
B
0 FmP
F FmOP
54.438 500.466 M (: )S
FmE
956 0 :M
f203 sf
( )S
958 0 :M
FrMacBegin
B
0 FmP
F FmOP
59.717 500.466 M (C)S
FmE
959 0 :M
f276 sf
( )S
961 0 :M
FrMacBegin
B
0 FmP
F FmOP
66.387 502.966 M (2)S
FmE
961 0 :M
f148 sf
( )S
963 0 :M
FrMacBegin
B
0 FmP
F FmOP
70.387 500.466 M ( = \(0, 0, 1\) as )S
FmE
963 0 :M
f203 sf
( )S
965 0 :M
FrMacBegin
B
0 FmP
F FmOP
126.009 500.466 M (t)S
FmE
966 0 :M
f250 sf
( )S
968 0 :M
FrMacBegin
B
0 FmP
F FmOP
128.788 496.466 M (a)S
FmE
968 0 :M
f148 sf
( )S
970 0 :M
FrMacBegin
B
0 FmP
F FmOP
132.788 500.466 M ( = )S
FmE
970 0 :M
f203 sf
( )S
972 0 :M
FrMacBegin
B
0 FmP
F FmOP
143.427 500.466 M (C)S
FmE
973 0 :M
f276 sf
( )S
975 0 :M
FrMacBegin
B
0 FmP
F FmOP
150.097 502.966 M (3)S
FmE
975 0 :M
f148 sf
( )S
977 0 :M
FrMacBegin
B
0 FmP
F FmOP
154.097 500.466 M (\()S
FmE
977 0 :M
f203 sf
( )S
979 0 :M
FrMacBegin
B
0 FmP
F FmOP
157.425 500.466 M (e)S
FmE
980 0 :M
f276 sf
( )S
982 0 :M
FrMacBegin
B
0 FmP
F FmOP
161.863 502.966 M (31)S
FmE
982 0 :M
f148 sf
( )S
984 0 :M
FrMacBegin
B
0 FmP
F FmOP
169.863 500.466 M (\) = \(0, 0, 1\) and pre)S
-0.251 N (viously)S
-0.652 N (, )S
FmE
984 0 :M
f203 sf
( )S
986 0 :M
FrMacBegin
B
0 FmP
F FmOP
281.233 500.466 M (C)S
FmE
987 0 :M
f276 sf
( )S
989 0 :M
FrMacBegin
B
0 FmP
F FmOP
287.903 502.966 M (3)S
FmE
989 0 :M
f148 sf
( )S
991 0 :M
FrMacBegin
B
0 FmP
F FmOP
291.903 500.466 M ( w)S
-0.1 N (as \(0, 0, 1\))S
FmE
991 0 :M
f203 sf
( )S
993 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 514.299 M (e)S
FmE
994 0 :M
f276 sf
( )S
996 0 :M
FrMacBegin
B
0 FmP
F FmOP
46.438 516.799 M (22)S
FmE
996 0 :M
f148 sf
( )S
998 0 :M
FrMacBegin
B
0 FmP
F FmOP
54.438 514.299 M (: )S
FmE
998 0 :M
f203 sf
( )S
1000 0 :M
FrMacBegin
B
0 FmP
F FmOP
59.717 514.299 M (C)S
FmE
1001 0 :M
f276 sf
( )S
1003 0 :M
FrMacBegin
B
0 FmP
F FmOP
66.387 516.799 M (2)S
FmE
1003 0 :M
f148 sf
( )S
1005 0 :M
FrMacBegin
B
0 FmP
F FmOP
70.387 514.299 M ( = \(0, 1, 1\))S
FmE
1005 0 :M
f203 sf
( )S
1007 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 528.132 M (e)S
FmE
1008 0 :M
f276 sf
( )S
1010 0 :M
FrMacBegin
B
0 FmP
F FmOP
46.438 530.632 M (12)S
FmE
1010 0 :M
f148 sf
( )S
1012 0 :M
FrMacBegin
B
0 FmP
F FmOP
54.438 528.132 M (: )S
FmE
1012 0 :M
f203 sf
( )S
1014 0 :M
FrMacBegin
B
0 FmP
F FmOP
59.717 528.132 M (C)S
FmE
1015 0 :M
f276 sf
( )S
1017 0 :M
FrMacBegin
B
0 FmP
F FmOP
66.387 530.632 M (1)S
FmE
1017 0 :M
f148 sf
( )S
1019 0 :M
FrMacBegin
B
0 FmP
F FmOP
70.387 528.132 M ( = \(2, 0, 0\))S
FmE
1019 0 :M
f203 sf
( )S
1021 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 544.632 M (e)S
FmE
1022 0 :M
f276 sf
( )S
1024 0 :M
FrMacBegin
B
0 FmP
F FmOP
46.438 547.132 M (23)S
FmE
1024 0 :M
f148 sf
( )S
1026 0 :M
FrMacBegin
B
0 FmP
F FmOP
54.438 544.632 M (: )S
FmE
1026 0 :M
f203 sf
( )S
1028 0 :M
FrMacBegin
B
0 FmP
F FmOP
59.717 544.632 M (C)S
FmE
1029 0 :M
f276 sf
( )S
1031 0 :M
FrMacBegin
B
0 FmP
F FmOP
66.387 547.132 M (2)S
FmE
1031 0 :M
f148 sf
( )S
1033 0 :M
FrMacBegin
B
0 FmP
F FmOP
70.387 544.632 M ( = \(2, 1, 1\) as )S
FmE
1033 0 :M
f203 sf
( )S
1035 0 :M
FrMacBegin
B
0 FmP
F FmOP
126.009 544.632 M (t)S
FmE
1036 0 :M
f250 sf
( )S
1038 0 :M
FrMacBegin
B
0 FmP
F FmOP
128.788 540.632 M (a)S
FmE
1038 0 :M
f148 sf
( )S
1040 0 :M
FrMacBegin
B
0 FmP
F FmOP
132.788 544.632 M ( = C)S
FmE
1040 0 :M
f276 sf
( )S
1042 0 :M
FrMacBegin
B
0 FmP
F FmOP
150.097 547.132 M (1)S
FmE
1042 0 :M
f148 sf
( )S
1044 0 :M
FrMacBegin
B
0 FmP
F FmOP
154.097 544.632 M (\()S
FmE
1045 0 :M
f203 sf
( )S
1047 0 :M
FrMacBegin
B
0 FmP
F FmOP
157.425 544.632 M (e)S
FmE
1047 0 :M
f276 sf
( )S
1049 0 :M
FrMacBegin
B
0 FmP
F FmOP
161.863 547.132 M (12)S
FmE
1049 0 :M
f148 sf
( )S
1051 0 :M
FrMacBegin
B
0 FmP
F FmOP
169.863 544.632 M (\) = \(2, 0, 0\) and pre)S
-0.251 N (viously)S
-0.652 N (, )S
FmE
1052 0 :M
f203 sf
( )S
1054 0 :M
FrMacBegin
B
0 FmP
F FmOP
281.233 544.632 M (C)S
FmE
1054 0 :M
f276 sf
( )S
1056 0 :M
FrMacBegin
B
0 FmP
F FmOP
287.903 547.132 M (2)S
FmE
1056 0 :M
f148 sf
( )S
1058 0 :M
FrMacBegin
B
0 FmP
F FmOP
291.903 544.632 M ( w)S
-0.1 N (as \(0, 1, 1\))S
FmE
1059 0 :M
f203 sf
( )S
1061 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 558.465 M (e)S
FmE
1061 0 :M
f276 sf
( )S
1063 0 :M
FrMacBegin
B
0 FmP
F FmOP
46.438 560.965 M (24)S
FmE
1063 0 :M
f148 sf
( )S
1065 0 :M
FrMacBegin
B
0 FmP
F FmOP
54.438 558.465 M (: )S
FmE
1066 0 :M
f203 sf
( )S
1068 0 :M
FrMacBegin
B
0 FmP
F FmOP
59.717 558.465 M (C)S
FmE
1068 0 :M
f276 sf
( )S
1070 0 :M
FrMacBegin
B
0 FmP
F FmOP
66.387 560.965 M (2)S
FmE
1070 0 :M
f148 sf
( )S
1072 0 :M
FrMacBegin
B
0 FmP
F FmOP
70.387 558.465 M ( = \(2, 2, 1\))S
FmE
1073 0 :M
f203 sf
( )S
1075 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 574.965 M (e)S
FmE
1075 0 :M
f276 sf
( )S
1077 0 :M
FrMacBegin
B
0 FmP
F FmOP
46.438 577.465 M (13)S
FmE
1077 0 :M
f148 sf
( )S
1079 0 :M
FrMacBegin
B
0 FmP
F FmOP
54.438 574.965 M (: )S
FmE
1080 0 :M
f203 sf
( )S
1082 0 :M
FrMacBegin
B
0 FmP
F FmOP
59.717 574.965 M (C)S
FmE
1082 0 :M
f276 sf
( )S
1084 0 :M
FrMacBegin
B
0 FmP
F FmOP
66.387 577.465 M (1)S
FmE
1084 0 :M
f148 sf
( )S
1086 0 :M
FrMacBegin
B
0 FmP
F FmOP
70.387 574.965 M ( = \(2, 1, 1\) as )S
FmE
1087 0 :M
f203 sf
( )S
1089 0 :M
FrMacBegin
B
0 FmP
F FmOP
126.009 574.965 M (t)S
FmE
1089 0 :M
f250 sf
( )S
1091 0 :M
FrMacBegin
B
0 FmP
F FmOP
128.788 570.965 M (a)S
FmE
1091 0 :M
f148 sf
( )S
1093 0 :M
FrMacBegin
B
0 FmP
F FmOP
132.788 574.965 M ( = )S
FmE
1094 0 :M
f203 sf
( )S
1096 0 :M
FrMacBegin
B
0 FmP
F FmOP
143.427 574.965 M (C)S
FmE
1096 0 :M
f276 sf
( )S
1098 0 :M
FrMacBegin
B
0 FmP
F FmOP
150.097 577.465 M (2)S
FmE
1098 0 :M
f148 sf
( )S
1100 0 :M
FrMacBegin
B
0 FmP
F FmOP
154.097 574.965 M (\()S
FmE
1101 0 :M
f203 sf
( )S
1103 0 :M
FrMacBegin
B
0 FmP
F FmOP
157.425 574.965 M (e)S
FmE
1103 0 :M
f276 sf
( )S
1105 0 :M
FrMacBegin
B
0 FmP
F FmOP
161.863 577.465 M (22)S
FmE
1105 0 :M
f148 sf
( )S
1107 0 :M
FrMacBegin
B
0 FmP
F FmOP
169.863 574.965 M (\) = \(0, 1, 1\) and pre)S
-0.251 N (viously)S
-0.652 N (, )S
FmE
1108 0 :M
f203 sf
( )S
1110 0 :M
FrMacBegin
B
0 FmP
F FmOP
281.233 574.965 M (C)S
FmE
1110 0 :M
f276 sf
( )S
1112 0 :M
FrMacBegin
B
0 FmP
F FmOP
287.903 577.465 M (1)S
FmE
1112 0 :M
f148 sf
( )S
1114 0 :M
FrMacBegin
B
0 FmP
F FmOP
291.903 574.965 M ( w)S
-0.1 N (as \(2, 0, 0\))S
FmE
1115 0 :M
f203 sf
( )S
1117 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 591.465 M (e)S
FmE
1117 0 :M
f276 sf
( )S
1119 0 :M
FrMacBegin
B
0 FmP
F FmOP
46.438 593.965 M (32)S
FmE
1119 0 :M
f148 sf
( )S
1121 0 :M
FrMacBegin
B
0 FmP
F FmOP
54.438 591.465 M (: )S
FmE
1122 0 :M
f203 sf
( )S
1124 0 :M
FrMacBegin
B
0 FmP
F FmOP
59.717 591.465 M (C)S
FmE
1124 0 :M
f276 sf
( )S
1126 0 :M
FrMacBegin
B
0 FmP
F FmOP
66.387 593.965 M (3)S
FmE
1126 0 :M
f148 sf
( )S
1128 0 :M
FrMacBegin
B
0 FmP
F FmOP
70.387 591.465 M ( = \(2, 2, 1\) as )S
FmE
1129 0 :M
f203 sf
( )S
1131 0 :M
FrMacBegin
B
0 FmP
F FmOP
126.009 591.465 M (t)S
FmE
1131 0 :M
f250 sf
( )S
1133 0 :M
FrMacBegin
B
0 FmP
F FmOP
128.788 587.465 M (a)S
FmE
1133 0 :M
f148 sf
( )S
1135 0 :M
FrMacBegin
B
0 FmP
F FmOP
132.788 591.465 M ( = )S
FmE
1136 0 :M
f203 sf
( )S
1138 0 :M
FrMacBegin
B
0 FmP
F FmOP
143.427 591.465 M (C)S
FmE
1138 0 :M
f276 sf
( )S
1140 0 :M
FrMacBegin
B
0 FmP
F FmOP
150.097 593.965 M (2)S
FmE
1140 0 :M
f148 sf
( )S
1142 0 :M
FrMacBegin
B
0 FmP
F FmOP
154.097 591.465 M (\()S
FmE
1143 0 :M
f203 sf
( )S
1145 0 :M
FrMacBegin
B
0 FmP
F FmOP
157.425 591.465 M (e)S
FmE
1145 0 :M
f276 sf
( )S
1147 0 :M
FrMacBegin
B
0 FmP
F FmOP
161.863 593.965 M (24)S
FmE
1147 0 :M
f148 sf
( )S
1149 0 :M
FrMacBegin
B
0 FmP
F FmOP
169.863 591.465 M (\) = \(2, 2, 1\) and pre)S
-0.251 N (viously)S
-0.652 N (, )S
FmE
1150 0 :M
f203 sf
( )S
1152 0 :M
FrMacBegin
B
0 FmP
F FmOP
281.233 591.465 M (C)S
FmE
1152 0 :M
f276 sf
( )S
1154 0 :M
FrMacBegin
B
0 FmP
F FmOP
287.903 593.965 M (3)S
FmE
1154 0 :M
f148 sf
( )S
1156 0 :M
FrMacBegin
B
0 FmP
F FmOP
291.903 591.465 M ( w)S
-0.1 N (as \(0, 0, 1\))S
42 605.298 M (Notice that )S
FmE
1157 0 :M
f203 sf
( )S
1159 0 :M
FrMacBegin
B
0 FmP
F FmOP
88.648 605.298 M (C)S
FmE
1159 0 :M
f276 sf
( )S
1161 0 :M
FrMacBegin
B
0 FmP
F FmOP
95.318 607.798 M (1)S
FmE
1161 0 :M
f148 sf
( )S
1163 0 :M
FrMacBegin
B
0 FmP
F FmOP
99.318 605.298 M (\()S
FmE
1164 0 :M
f203 sf
( )S
1166 0 :M
FrMacBegin
B
0 FmP
F FmOP
102.646 605.298 M (e)S
FmE
1166 0 :M
f276 sf
( )S
1168 0 :M
FrMacBegin
B
0 FmP
F FmOP
107.084 607.798 M (11)S
FmE
1168 0 :M
f148 sf
( )S
1170 0 :M
FrMacBegin
B
0 FmP
F FmOP
115.084 605.298 M (\) < )S
FmE
1171 0 :M
f203 sf
( )S
1173 0 :M
FrMacBegin
B
0 FmP
F FmOP
129.051 605.298 M (C)S
FmE
1173 0 :M
f276 sf
( )S
1175 0 :M
FrMacBegin
B
0 FmP
F FmOP
135.721 607.798 M (3)S
FmE
1175 0 :M
f148 sf
( )S
1177 0 :M
FrMacBegin
B
0 FmP
F FmOP
139.721 605.298 M (\()S
FmE
1178 0 :M
f203 sf
( )S
1180 0 :M
FrMacBegin
B
0 FmP
F FmOP
143.049 605.298 M (e)S
FmE
1180 0 :M
f276 sf
( )S
1182 0 :M
FrMacBegin
B
0 FmP
F FmOP
147.487 607.798 M (32)S
FmE
1182 0 :M
f148 sf
( )S
1184 0 :M
FrMacBegin
B
0 FmP
F FmOP
155.487 605.298 M (\), so )S
FmE
1185 0 :M
f203 sf
( )S
1187 0 :M
FrMacBegin
B
0 FmP
F FmOP
175.204 605.298 M (e)S
FmE
1187 0 :M
f276 sf
( )S
1189 0 :M
FrMacBegin
B
0 FmP
F FmOP
179.643 607.798 M (11)S
FmE
1189 0 :M
f148 sf
( )S
1191 0 :M
FrMacBegin
B
0 FmP
F FmOP
187.643 605.298 M ( )S
FmE
1192 0 :M
f237 sf
( )S
1194 0 :M
FrMacBegin
B
0 FmP
F FmOP
190.143 605.298 M (\256)S
FmE
1194 0 :M
f148 sf
( )S
1196 0 :M
FrMacBegin
B
0 FmP
F FmOP
200.011 605.298 M ( )S
FmE
1197 0 :M
f203 sf
( )S
1199 0 :M
FrMacBegin
B
0 FmP
F FmOP
202.511 605.298 M (e)S
FmE
1199 0 :M
f276 sf
( )S
1201 0 :M
FrMacBegin
B
0 FmP
F FmOP
206.949 607.798 M (32)S
FmE
1201 0 :M
f148 sf
( )S
1203 0 :M
FrMacBegin
B
0 FmP
F FmOP
214.949 605.298 M (, b)S
-0.2 N (ut )S
FmE
1204 0 :M
f203 sf
( )S
1206 0 :M
FrMacBegin
B
0 FmP
F FmOP
235.027 605.298 M (C)S
FmE
1206 0 :M
f276 sf
( )S
1208 0 :M
FrMacBegin
B
0 FmP
F FmOP
241.697 607.798 M (1)S
FmE
1208 0 :M
f148 sf
( )S
1210 0 :M
FrMacBegin
B
0 FmP
F FmOP
245.697 605.298 M (\()S
FmE
1211 0 :M
f203 sf
( )S
1213 0 :M
FrMacBegin
B
0 FmP
F FmOP
249.025 605.298 M (e)S
FmE
1213 0 :M
f276 sf
( )S
1215 0 :M
FrMacBegin
B
0 FmP
F FmOP
253.463 607.798 M (11)S
FmE
1215 0 :M
f148 sf
( )S
1217 0 :M
FrMacBegin
B
0 FmP
F FmOP
261.463 605.298 M (\) and )S
FmE
1218 0 :M
f203 sf
( )S
1220 0 :M
FrMacBegin
B
0 FmP
F FmOP
284.229 605.298 M (C)S
FmE
1220 0 :M
f276 sf
( )S
1222 0 :M
FrMacBegin
B
0 FmP
F FmOP
290.899 607.798 M (3)S
FmE
1222 0 :M
f148 sf
( )S
1224 0 :M
FrMacBegin
B
0 FmP
F FmOP
294.899 605.298 M (\()S
FmE
1225 0 :M
f203 sf
( )S
1227 0 :M
FrMacBegin
B
0 FmP
F FmOP
298.227 605.298 M (e)S
FmE
1227 0 :M
f276 sf
( )S
1229 0 :M
FrMacBegin
B
0 FmP
F FmOP
302.666 607.798 M (31)S
FmE
1229 0 :M
f148 sf
( )S
1231 0 :M
FrMacBegin
B
0 FmP
F FmOP
310.666 605.298 M (\) are incomparable, so )S
FmE
1232 0 :M
f203 sf
( )S
1234 0 :M
FrMacBegin
B
0 FmP
F FmOP
402.003 605.298 M (e)S
FmE
1234 0 :M
f276 sf
( )S
1236 0 :M
FrMacBegin
B
0 FmP
F FmOP
406.442 607.798 M (11)S
FmE
1236 0 :M
f148 sf
( )S
1238 0 :M
FrMacBegin
B
0 FmP
F FmOP
414.442 605.298 M ( and )S
FmE
1239 0 :M
f203 sf
( )S
1241 0 :M
FrMacBegin
B
0 FmP
F FmOP
433.88 605.298 M (e)S
FmE
1241 0 :M
f276 sf
( )S
1243 0 :M
FrMacBegin
B
0 FmP
F FmOP
438.319 607.798 M (31)S
FmE
1243 0 :M
f148 sf
( )S
1245 0 :M
FrMacBegin
B
0 FmP
F FmOP
446.319 605.298 M ( are concurrent.)S
FmE
42 324 468 121 rC
1246 0 :M
FrMacBegin
42 324.466 468 120 FmKp
B
0 FmP
F FmOP
94 346.036 FmB
378 0 FmL
2 1 FmSo
94 382.036 FmB
378 0 FmL
2 1 FmSo
94 427.036 FmB
378 0 FmL
2 1 FmSo
0 360 4.5 4.5 0 T 125.5 345.536 FmAF
T 0 360 4.5 4.5 0 125.5 345.536 2 1 F FmAP
0 360 4.5 4.5 0 T 241.5 346.203 FmAF
T 0 360 4.5 4.5 0 241.5 346.203 2 1 F FmAP
0 360 4.5 4.5 0 T 182.833 382.203 FmAF
T 0 360 4.5 4.5 0 182.833 382.203 2 1 F FmAP
0 360 4.5 4.5 0 T 233.5 382.203 FmAF
T 0 360 4.5 4.5 0 233.5 382.203 2 1 F FmAP
0 360 4.5 4.5 0 T 145.5 428.203 FmAF
T 0 360 4.5 4.5 0 145.5 428.203 2 1 F FmAP
0 360 4.5 4.5 0 T 347.5 382.203 FmAF
T 0 360 4.5 4.5 0 347.5 382.203 2 1 F FmAP
0 360 4.5 4.5 0 T 421.5 427.536 FmAF
T 0 360 4.5 4.5 0 421.5 427.536 2 1 F FmAP
0 360 4.5 4.5 0 T 418.833 346.87 FmAF
T 0 360 4.5 4.5 0 418.833 346.87 2 1 F FmAP
FmE
1246 0 :M
f289 sf
( )S
1249 0 :M
FrMacBegin
42 324.466 468 120 FmKp
B
0 FmP
F FmOP
73.333 346.403 M (P)S
FmE
1249 0 :M
f148 sf
( )S
1251 0 :M
FrMacBegin
42 324.466 468 120 FmKp
B
0 FmP
F FmOP
FmG 80.663 349.403 M 0.96 0.96 scale (1)S FmR
FmE
1252 0 :M
f289 sf
( )S
1255 0 :M
FrMacBegin
42 324.466 468 120 FmKp
B
0 FmP
F FmOP
73.333 383.737 M (P)S
FmE
1255 0 :M
f148 sf
( )S
1257 0 :M
FrMacBegin
42 324.466 468 120 FmKp
B
0 FmP
F FmOP
FmG 80.663 386.737 M 0.96 0.96 scale (2)S FmR
FmE
1257 0 :M
f289 sf
( )S
1260 0 :M
FrMacBegin
42 324.466 468 120 FmKp
B
0 FmP
F FmOP
73.333 430.403 M (P)S
FmE
1260 0 :M
f148 sf
( )S
1262 0 :M
FrMacBegin
42 324.466 468 120 FmKp
B
0 FmP
F FmOP
FmG 80.663 433.403 M 0.96 0.96 scale (3)S FmR
FmG 122 338.07 M 0.96 0.96 scale (e11)S FmR
FmG 241.333 340.07 M 0.96 0.96 scale (e12)S FmR
FmG 180.667 374.737 M 0.96 0.96 scale (e21)S FmR
FmG 234 374.737 M 0.96 0.96 scale (e22)S FmR
FmG 324 374.737 M 0.96 0.96 scale (e23)S FmR
FmG 129.333 419.403 M 0.96 0.96 scale (e31)S FmR
FmG 420 420.07 M 0.96 0.96 scale (e32)S FmR
FmG 412.667 339.403 M 0.96 0.96 scale (e13)S FmR
309.693 373.364 FmB
1.257 -3.235 FmL
10.027 7.618 FmL
-12.54 -1.147 FmL
1 FmS
309.693 373.364 FmB
1.257 -3.235 FmL
10.027 7.618 FmL
-12.54 -1.147 FmL
FmFl
242 347.07 FmB
67.227 26.113 FmL
2 1 FmSo
400.972 350.208 FmB
-0.616 -3.416 FmL
12.529 1.266 FmL
-11.296 5.565 FmL
1 FmS
400.972 350.208 FmB
-0.616 -3.416 FmL
12.529 1.266 FmL
-11.296 5.565 FmL
FmFl
237.333 379.737 FmB
163.146 -29.44 FmL
2 1 FmSo
405.241 416.844 FmB
1.719 -3.015 FmL
8.798 9.01 FmL
-12.235 -2.979 FmL
1 FmS
405.241 416.844 FmB
1.719 -3.015 FmL
8.798 9.01 FmL
-12.235 -2.979 FmL
FmFl
350.667 385.737 FmB
54.14 30.86 FmL
2 1 FmSo
172.319 395.675 FmB
-2.645 -2.248 FmL
10.484 -6.975 FmL
-5.195 11.471 FmL
1 FmS
172.319 395.675 FmB
-2.645 -2.248 FmL
10.484 -6.975 FmL
-5.195 11.471 FmL
FmFl
147.333 425.07 FmB
24.662 -29.014 FmL
2 1 FmSo
0 360 4.5 4.5 0 T 324.167 382.203 FmAF
T 0 360 4.5 4.5 0 324.167 382.203 2 1 F FmAP
355.333 372.403 M (e24)S
FmE
endp
showpage
%%PageTrailer
%%Page: 4 4
%%PageProcessColors: Black
%%PageCustomColors: 
%%BeginPageSetup
initializepage
(The Bishops; page: 4 of 10)setjob
%%EndPageSetup
gS 0 0 552 728 rC
1263 0 :M
FrMacBegin
0 FmP
F FmOP
0 FmSP
FmE
42 14 468 14 rC
1263 0 :M
FrMacBegin
42 15 468 12 FmKp
B
0 FmP
F FmOP
42 16 FmB
468 0 FmL
2 1 FmSo
42 19 FmB
468 0 FmL
2 1 FmSo
FmE
gR
gS 0 0 552 728 rC
1263 0 :M
f148 sf
( )S
1265 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 11.667 M (February 17, 2000)S
112.359 N (ECS 251 \320 Winter 2000)S
159.015 N (Page )S
(4)S
157.278 725 M (Last modified at )S
(11:37 pm on Thursday, February 17, 2000)S
FmE
1266 0 :M
f175 sf
( )S
1270 0 :M
FrMacBegin
B
0 FmP
F FmOP
132.784 53 M (Birman-Schiper)S
-0.668 N (-Stephenson Pr)S
-0.325 N (otocol)S
FmE
1270 0 :M
f263 sf
( )S
1273 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 85 M (Intr)S
-0.217 N (oduction)S
FmE
1273 0 :M
f148 sf
( )S
1275 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 102.667 M (The goal of this protocol is to preserv)S
-0.151 N (e ordering in the sending of messages. F)S
-0.151 N (or e)S
-0.151 N (xample, if )S
FmE
1276 0 :M
f203 sf
( )S
1278 0 :M
FrMacBegin
B
0 FmP
F FmOP
411.138 102.667 M (send)S
FmE
1278 0 :M
f148 sf
( )S
1280 0 :M
FrMacBegin
B
0 FmP
F FmOP
429.466 102.667 M (\()S
FmE
1281 0 :M
f203 sf
( )S
1283 0 :M
FrMacBegin
B
0 FmP
F FmOP
432.793 102.667 M (m)S
FmE
1283 0 :M
f276 sf
( )S
1285 0 :M
FrMacBegin
B
0 FmP
F FmOP
440.013 105.167 M (1)S
FmE
1285 0 :M
f148 sf
( )S
1287 0 :M
FrMacBegin
B
0 FmP
F FmOP
444.013 102.667 M (\) )S
FmE
1288 0 :M
f237 sf
( )S
1290 0 :M
FrMacBegin
B
0 FmP
F FmOP
449.84 102.667 M (\256)S
FmE
1290 0 :M
f148 sf
( )S
1292 0 :M
FrMacBegin
B
0 FmP
F FmOP
459.708 102.667 M ( send\()S
FmE
1293 0 :M
f203 sf
( )S
1295 0 :M
FrMacBegin
B
0 FmP
F FmOP
483.864 102.667 M (m)S
FmE
1295 0 :M
f276 sf
( )S
1297 0 :M
FrMacBegin
B
0 FmP
F FmOP
491.083 105.167 M (2)S
FmE
1297 0 :M
f148 sf
( )S
1299 0 :M
FrMacBegin
B
0 FmP
F FmOP
495.083 102.667 M (\), )S
42 116.5 M -0.198(then for all processes that recei)W
-0.251 N (v)S
-0.151 N -0.198(e both )W
FmE
1300 0 :M
f203 sf
( )S
1302 0 :M
FrMacBegin
B
0 FmP
F FmOP
196.519 116.5 M (m)S
FmE
1302 0 :M
f276 sf
( )S
1304 0 :M
FrMacBegin
B
0 FmP
F FmOP
203.738 119 M (1)S
FmE
1304 0 :M
f148 sf
( )S
1306 0 :M
FrMacBegin
B
0 FmP
F FmOP
207.738 116.5 M -0.198( and )W
FmE
1307 0 :M
f203 sf
( )S
1309 0 :M
FrMacBegin
B
0 FmP
F FmOP
226.78 116.5 M (m)S
FmE
1309 0 :M
f276 sf
( )S
1311 0 :M
FrMacBegin
B
0 FmP
F FmOP
233.999 119 M (2)S
FmE
1311 0 :M
f148 sf
( )S
1313 0 :M
FrMacBegin
B
0 FmP
F FmOP
237.999 116.5 M -0.198(, )W
FmE
1314 0 :M
f203 sf
( )S
1316 0 :M
FrMacBegin
B
0 FmP
F FmOP
242.8 116.5 M (r)S
-0.371 N (eceive)S
FmE
1316 0 :M
f148 sf
( )S
1318 0 :M
FrMacBegin
B
0 FmP
F FmOP
271.289 116.5 M (\()S
FmE
1319 0 :M
f203 sf
( )S
1321 0 :M
FrMacBegin
B
0 FmP
F FmOP
274.617 116.5 M (m)S
FmE
1321 0 :M
f276 sf
( )S
1323 0 :M
FrMacBegin
B
0 FmP
F FmOP
281.836 119 M (1)S
FmE
1323 0 :M
f148 sf
( )S
1325 0 :M
FrMacBegin
B
0 FmP
F FmOP
285.836 116.5 M (\))S
FmE
1326 0 :M
f237 sf
( )S
1328 0 :M
FrMacBegin
B
0 FmP
F FmOP
289.164 116.5 M (\256)S
FmE
1328 0 :M
f148 sf
( )S
1330 0 :M
FrMacBegin
B
0 FmP
F FmOP
299.032 116.5 M -0.198( )W
FmE
1331 0 :M
f203 sf
( )S
1333 0 :M
FrMacBegin
B
0 FmP
F FmOP
301.333 116.5 M (r)S
-0.371 N (eceive)S
FmE
1333 0 :M
f148 sf
( )S
1335 0 :M
FrMacBegin
B
0 FmP
F FmOP
329.822 116.5 M (\()S
FmE
1336 0 :M
f203 sf
( )S
1338 0 :M
FrMacBegin
B
0 FmP
F FmOP
333.15 116.5 M (m)S
FmE
1338 0 :M
f276 sf
( )S
1340 0 :M
FrMacBegin
B
0 FmP
F FmOP
340.369 119 M (2)S
FmE
1340 0 :M
f148 sf
( )S
1342 0 :M
FrMacBegin
B
0 FmP
F FmOP
344.369 116.5 M -0.198(\). )W
-0.181 N -0.198(The basic idea is that )W
FmE
1343 0 :M
f203 sf
( )S
1345 0 :M
FrMacBegin
B
0 FmP
F FmOP
438.234 116.5 M (m)S
FmE
1345 0 :M
f276 sf
( )S
1347 0 :M
FrMacBegin
B
0 FmP
F FmOP
445.453 119 M (2)S
FmE
1347 0 :M
f148 sf
( )S
1349 0 :M
FrMacBegin
B
0 FmP
F FmOP
449.453 116.5 M -0.198( is not gi)W
-0.251 N (v)S
-0.151 N -0.198(en to )W
42 130.333 M (the process until )S
FmE
1350 0 :M
f203 sf
( )S
1352 0 :M
FrMacBegin
B
0 FmP
F FmOP
110.035 130.333 M (m)S
FmE
1352 0 :M
f276 sf
( )S
1354 0 :M
FrMacBegin
B
0 FmP
F FmOP
117.254 132.833 M (1)S
FmE
1354 0 :M
f148 sf
( )S
1356 0 :M
FrMacBegin
B
0 FmP
F FmOP
121.254 130.333 M ( is gi)S
-0.251 N (v)S
-0.151 N (en. )S
-0.181 N (This means a b)S
-0.2 N (uf)S
-0.251 N (fer is needed for pending deli)S
-0.251 N (v)S
-0.151 N (eries. )S
-0.552 N (Also, each message has an associ-)S
42 144.167 M (ated v)S
-0.151 N (ector that contains information for the recipient to determine if another message preceded it.  )S
-0.552 N (Also, we shall )S
42 156.166 M (assume all messages are broadcast. Clocks are updated only when messages are sent.)S
FmE
1357 0 :M
f263 sf
( )S
1360 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 181.5 M (Notation)S
FmE
1360 0 :M
f148 sf
( )S
1362 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 199.166 M (\245)S
FmE
1362 0 :M
f203 sf
( )S
1364 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 199.166 M (n)S
FmE
1365 0 :M
f148 sf
( )S
1367 0 :M
FrMacBegin
B
0 FmP
F FmOP
65 199.166 M ( processes)S
42 214.166 M (\245)S
FmE
1367 0 :M
f203 sf
( )S
1369 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 214.166 M (P)S
FmE
1370 0 :M
f250 sf
( )S
1372 0 :M
FrMacBegin
B
0 FmP
F FmOP
66.108 216.666 M (i)S
FmE
1372 0 :M
f148 sf
( )S
1374 0 :M
FrMacBegin
B
0 FmP
F FmOP
68.331 214.166 M ( process)S
42 231 M (\245)S
FmE
1374 0 :M
f203 sf
( )S
1376 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 231 M (C)S
FmE
1377 0 :M
f250 sf
( )S
1379 0 :M
FrMacBegin
B
0 FmP
F FmOP
66.67 233.5 M (i)S
FmE
1379 0 :M
f148 sf
( )S
1381 0 :M
FrMacBegin
B
0 FmP
F FmOP
68.893 231 M -0.013(. v)W
-0.151 N -0.013(ector clock associated with process )W
FmE
1381 0 :M
f203 sf
( )S
1383 0 :M
FrMacBegin
B
0 FmP
F FmOP
221.65 231 M (P)S
FmE
1384 0 :M
f250 sf
( )S
1386 0 :M
FrMacBegin
B
0 FmP
F FmOP
227.759 233.5 M (i)S
FmE
1386 0 :M
f148 sf
( )S
1388 0 :M
FrMacBegin
B
0 FmP
F FmOP
229.981 231 M -0.013(; )W
FmE
1388 0 :M
f203 sf
( )S
1390 0 :M
FrMacBegin
B
0 FmP
F FmOP
235.247 231 M (j)S
FmE
1391 0 :M
f148 sf
( )S
1393 0 :M
FrMacBegin
B
0 FmP
F FmOP
238.025 231 M -0.013(th element is )W
FmE
1393 0 :M
f203 sf
( )S
1395 0 :M
FrMacBegin
B
0 FmP
F FmOP
291.583 231 M (C)S
FmE
1396 0 :M
f250 sf
( )S
1398 0 :M
FrMacBegin
B
0 FmP
F FmOP
298.253 233.5 M (i)S
FmE
1398 0 :M
f148 sf
( )S
1400 0 :M
FrMacBegin
B
0 FmP
F FmOP
300.476 231 M ([)S
FmE
1400 0 :M
f203 sf
( )S
1402 0 :M
FrMacBegin
B
0 FmP
F FmOP
303.803 231 M (j)S
FmE
1403 0 :M
f148 sf
( )S
1405 0 :M
FrMacBegin
B
0 FmP
F FmOP
306.582 231 M -0.013(] and contains )W
FmE
1405 0 :M
f203 sf
( )S
1407 0 :M
FrMacBegin
B
0 FmP
F FmOP
365.132 231 M (P)S
FmE
1408 0 :M
f250 sf
( )S
1410 0 :M
FrMacBegin
B
0 FmP
F FmOP
371.241 233.5 M (i)S
FmE
1410 0 :M
f148 sf
( )S
1412 0 :M
FrMacBegin
B
0 FmP
F FmOP
373.463 231 M (\325)S
-0.552 N -0.013(s latest v)W
-0.251 N -0.013(alue for the current time )W
60 244.833 M (in process )S
FmE
1412 0 :M
f203 sf
( )S
1414 0 :M
FrMacBegin
B
0 FmP
F FmOP
102.761 244.833 M (P)S
FmE
1415 0 :M
f250 sf
( )S
1417 0 :M
FrMacBegin
B
0 FmP
F FmOP
108.87 247.333 M (k)S
FmE
1417 0 :M
f148 sf
( )S
1419 0 :M
FrMacBegin
B
0 FmP
F FmOP
112.42 244.833 M (.)S
42 264.333 M (\245)S
FmE
1419 0 :M
f203 sf
( )S
1421 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 264.333 M (t)S
FmE
1422 0 :M
f250 sf
( )S
1424 0 :M
FrMacBegin
B
0 FmP
F FmOP
62.778 260.333 M (m)S
FmE
1424 0 :M
f148 sf
( )S
1426 0 :M
FrMacBegin
B
0 FmP
F FmOP
68.556 264.333 M ( v)S
-0.151 N (ector timestamp for message )S
FmE
1426 0 :M
f203 sf
( )S
1428 0 :M
FrMacBegin
B
0 FmP
F FmOP
193.072 264.333 M (m)S
FmE
1429 0 :M
f148 sf
( )S
1431 0 :M
FrMacBegin
B
0 FmP
F FmOP
200.292 264.333 M ( \(stamped )S
FmE
1431 0 :M
f203 sf
( )S
1433 0 :M
FrMacBegin
B
0 FmP
F FmOP
241.942 264.333 M (after)S
FmE
1434 0 :M
f148 sf
( )S
1436 0 :M
FrMacBegin
B
0 FmP
F FmOP
260.826 264.333 M ( local clock is incremented\))S
FmE
1436 0 :M
f263 sf
( )S
1439 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 289.666 M (Pr)S
-0.217 N (otocol)S
FmE
1439 0 :M
f319 sf
( )S
1441 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 307.333 M (P)S
FmE
1442 0 :M
f332 sf
( )S
1444 0 :M
FrMacBegin
B
0 FmP
F FmOP
48.108 309.833 M (i)S
FmE
1444 0 :M
f345 sf
( )S
1446 0 :M
FrMacBegin
B
0 FmP
F FmOP
50.331 307.333 M ( sends a message to )S
FmE
1446 0 :M
f319 sf
( )S
1448 0 :M
FrMacBegin
B
0 FmP
F FmOP
134.477 307.333 M (P)S
FmE
1449 0 :M
f332 sf
( )S
1451 0 :M
FrMacBegin
B
0 FmP
F FmOP
140.585 309.833 M (j)S
FmE
1451 0 :M
f148 sf
( )S
1453 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 323.833 M (1.)S
FmE
1453 0 :M
f203 sf
( )S
1455 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 323.833 M (P)S
FmE
1456 0 :M
f250 sf
( )S
1458 0 :M
FrMacBegin
B
0 FmP
F FmOP
66.108 326.333 M (i)S
FmE
1458 0 :M
f148 sf
( )S
1460 0 :M
FrMacBegin
B
0 FmP
F FmOP
68.331 323.833 M ( increments )S
FmE
1460 0 :M
f203 sf
( )S
1462 0 :M
FrMacBegin
B
0 FmP
F FmOP
117.198 323.833 M (C)S
FmE
1463 0 :M
f250 sf
( )S
1465 0 :M
FrMacBegin
B
0 FmP
F FmOP
123.868 326.333 M (i)S
FmE
1465 0 :M
f148 sf
( )S
1467 0 :M
FrMacBegin
B
0 FmP
F FmOP
126.091 323.833 M ([)S
FmE
1467 0 :M
f203 sf
( )S
1469 0 :M
FrMacBegin
B
0 FmP
F FmOP
129.418 323.833 M (i)S
FmE
1470 0 :M
f148 sf
( )S
1472 0 :M
FrMacBegin
B
0 FmP
F FmOP
132.197 323.833 M (] and sets the timestamp )S
FmE
1472 0 :M
f203 sf
( )S
1474 0 :M
FrMacBegin
B
0 FmP
F FmOP
231.333 323.833 M (t)S
FmE
1475 0 :M
f250 sf
( )S
1477 0 :M
FrMacBegin
B
0 FmP
F FmOP
234.111 319.833 M (m)S
FmE
1477 0 :M
f148 sf
( )S
1479 0 :M
FrMacBegin
B
0 FmP
F FmOP
239.888 323.833 M ( =  )S
FmE
1479 0 :M
f203 sf
( )S
1481 0 :M
FrMacBegin
B
0 FmP
F FmOP
253.028 323.833 M (C)S
FmE
1482 0 :M
f250 sf
( )S
1484 0 :M
FrMacBegin
B
0 FmP
F FmOP
259.698 326.333 M (i)S
FmE
1484 0 :M
f148 sf
( )S
1486 0 :M
FrMacBegin
B
0 FmP
F FmOP
261.92 323.833 M ([)S
FmE
1486 0 :M
f203 sf
( )S
1488 0 :M
FrMacBegin
B
0 FmP
F FmOP
265.248 323.833 M (i)S
FmE
1489 0 :M
f148 sf
( )S
1491 0 :M
FrMacBegin
B
0 FmP
F FmOP
268.026 323.833 M (] for message )S
FmE
1491 0 :M
f203 sf
( )S
1493 0 :M
FrMacBegin
B
0 FmP
F FmOP
324.381 323.833 M (m)S
FmE
1494 0 :M
f148 sf
( )S
1496 0 :M
FrMacBegin
B
0 FmP
F FmOP
331.601 323.833 M (. )S
FmE
1496 0 :M
f319 sf
( )S
1498 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 337.666 M (P)S
FmE
1499 0 :M
f332 sf
( )S
1501 0 :M
FrMacBegin
B
0 FmP
F FmOP
48.108 340.166 M (j)S
FmE
1501 0 :M
f345 sf
( )S
1503 0 :M
FrMacBegin
B
0 FmP
F FmOP
50.331 337.666 M ( r)S
-0.181 N (ecei)S
-0.1 N (v)S
-0.1 N (es a message fr)S
-0.181 N (om )S
FmE
1503 0 :M
f319 sf
( )S
1505 0 :M
FrMacBegin
B
0 FmP
F FmOP
157.206 337.666 M (P)S
FmE
1506 0 :M
f332 sf
( )S
1508 0 :M
FrMacBegin
B
0 FmP
F FmOP
163.314 340.166 M (i)S
FmE
1508 0 :M
f148 sf
( )S
1510 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 354.166 M (1.)S
10.5 N (When )S
FmE
1510 0 :M
f203 sf
( )S
1512 0 :M
FrMacBegin
B
0 FmP
F FmOP
86.377 354.166 M (P)S
FmE
1513 0 :M
f250 sf
( )S
1515 0 :M
FrMacBegin
B
0 FmP
F FmOP
92.485 356.666 M (j)S
FmE
1515 0 :M
f148 sf
( )S
1517 0 :M
FrMacBegin
B
0 FmP
F FmOP
94.708 354.166 M (, )S
FmE
1517 0 :M
f203 sf
( )S
1519 0 :M
FrMacBegin
B
0 FmP
F FmOP
99.708 354.166 M (j)S
FmE
1520 0 :M
f148 sf
( )S
1522 0 :M
FrMacBegin
B
0 FmP
F FmOP
102.486 354.166 M ( )S
FmE
1522 0 :M
f237 sf
( )S
1524 0 :M
FrMacBegin
B
0 FmP
F FmOP
104.986 354.166 M (\271)S
FmE
1525 0 :M
f148 sf
( )S
1527 0 :M
FrMacBegin
B
0 FmP
F FmOP
110.475 354.166 M ( )S
FmE
1527 0 :M
f203 sf
( )S
1529 0 :M
FrMacBegin
B
0 FmP
F FmOP
112.975 354.166 M (i)S
FmE
1530 0 :M
f148 sf
( )S
1532 0 :M
FrMacBegin
B
0 FmP
F FmOP
115.753 354.166 M (, recei)S
-0.251 N (v)S
-0.151 N (es )S
FmE
1532 0 :M
f203 sf
( )S
1534 0 :M
FrMacBegin
B
0 FmP
F FmOP
155.599 354.166 M (m)S
FmE
1535 0 :M
f148 sf
( )S
1537 0 :M
FrMacBegin
B
0 FmP
F FmOP
162.818 354.166 M ( with timestamp )S
FmE
1537 0 :M
f203 sf
( )S
1539 0 :M
FrMacBegin
B
0 FmP
F FmOP
229.752 354.166 M (t)S
FmE
1540 0 :M
f250 sf
( )S
1542 0 :M
FrMacBegin
B
0 FmP
F FmOP
232.53 350.166 M (m)S
FmE
1542 0 :M
f148 sf
( )S
1544 0 :M
FrMacBegin
B
0 FmP
F FmOP
238.308 354.166 M (, it delays the message\325)S
-0.552 N (s deli)S
-0.251 N (v)S
-0.151 N (ery until )S
FmE
1544 0 :M
f203 sf
( )S
1546 0 :M
FrMacBegin
B
0 FmP
F FmOP
392.856 354.166 M (both)S
FmE
1547 0 :M
f148 sf
( )S
1549 0 :M
FrMacBegin
B
0 FmP
F FmOP
410.634 354.166 M (:)S
60 370.666 M (a.)S
FmE
1549 0 :M
f203 sf
( )S
1551 0 :M
FrMacBegin
B
0 FmP
F FmOP
78 370.666 M (C)S
FmE
1552 0 :M
f250 sf
( )S
1554 0 :M
FrMacBegin
B
0 FmP
F FmOP
84.67 373.166 M (j)S
FmE
1554 0 :M
f148 sf
( )S
1556 0 :M
FrMacBegin
B
0 FmP
F FmOP
86.893 370.666 M ([)S
FmE
1556 0 :M
f203 sf
( )S
1558 0 :M
FrMacBegin
B
0 FmP
F FmOP
90.22 370.666 M (i)S
FmE
1559 0 :M
f148 sf
( )S
1561 0 :M
FrMacBegin
B
0 FmP
F FmOP
92.999 370.666 M (] = )S
FmE
1561 0 :M
f203 sf
( )S
1563 0 :M
FrMacBegin
B
0 FmP
F FmOP
106.966 370.666 M (t)S
FmE
1564 0 :M
f250 sf
( )S
1566 0 :M
FrMacBegin
B
0 FmP
F FmOP
109.744 366.666 M (m)S
FmE
1566 0 :M
f148 sf
( )S
1568 0 :M
FrMacBegin
B
0 FmP
F FmOP
115.521 370.666 M ([)S
FmE
1568 0 :M
f203 sf
( )S
1570 0 :M
FrMacBegin
B
0 FmP
F FmOP
118.849 370.666 M (i)S
FmE
1571 0 :M
f148 sf
( )S
1573 0 :M
FrMacBegin
B
0 FmP
F FmOP
121.627 370.666 M (] \320 1; and)S
60 387.165 M (b)S
-0.4 N (.)S
10.9 N (for all )S
FmE
1573 0 :M
f203 sf
( )S
1575 0 :M
FrMacBegin
B
0 FmP
F FmOP
104.65 387.165 M (k)S
FmE
1576 0 :M
f148 sf
( )S
1578 0 :M
FrMacBegin
B
0 FmP
F FmOP
109.089 387.165 M ( )S
FmE
1578 0 :M
f237 sf
( )S
1580 0 :M
FrMacBegin
B
0 FmP
F FmOP
111.589 387.165 M (\243)S
FmE
1581 0 :M
f148 sf
( )S
1583 0 :M
FrMacBegin
B
0 FmP
F FmOP
117.077 387.165 M ( )S
FmE
1583 0 :M
f203 sf
( )S
1585 0 :M
FrMacBegin
B
0 FmP
F FmOP
119.577 387.165 M (n)S
FmE
1586 0 :M
f148 sf
( )S
1588 0 :M
FrMacBegin
B
0 FmP
F FmOP
124.577 387.165 M ( and )S
FmE
1588 0 :M
f203 sf
( )S
1590 0 :M
FrMacBegin
B
0 FmP
F FmOP
144.016 387.165 M (k)S
FmE
1591 0 :M
f148 sf
( )S
1593 0 :M
FrMacBegin
B
0 FmP
F FmOP
148.454 387.165 M ( )S
FmE
1593 0 :M
f237 sf
( )S
1595 0 :M
FrMacBegin
B
0 FmP
F FmOP
150.954 387.165 M (\271)S
FmE
1596 0 :M
f148 sf
( )S
1598 0 :M
FrMacBegin
B
0 FmP
F FmOP
156.442 387.165 M ( )S
FmE
1598 0 :M
f203 sf
( )S
1600 0 :M
FrMacBegin
B
0 FmP
F FmOP
158.942 387.165 M (i)S
FmE
1601 0 :M
f148 sf
( )S
1603 0 :M
FrMacBegin
B
0 FmP
F FmOP
161.721 387.165 M (, )S
FmE
1603 0 :M
f203 sf
( )S
1605 0 :M
FrMacBegin
B
0 FmP
F FmOP
166.721 387.165 M (C)S
FmE
1606 0 :M
f250 sf
( )S
1608 0 :M
FrMacBegin
B
0 FmP
F FmOP
173.391 389.665 M (j)S
FmE
1608 0 :M
f148 sf
( )S
1610 0 :M
FrMacBegin
B
0 FmP
F FmOP
175.613 387.165 M ([)S
FmE
1610 0 :M
f203 sf
( )S
1612 0 :M
FrMacBegin
B
0 FmP
F FmOP
178.941 387.165 M (k)S
FmE
1613 0 :M
f148 sf
( )S
1615 0 :M
FrMacBegin
B
0 FmP
F FmOP
183.379 387.165 M (] )S
FmE
1615 0 :M
f237 sf
( )S
1617 0 :M
FrMacBegin
B
0 FmP
F FmOP
189.207 387.165 M (\263)S
FmE
1618 0 :M
f148 sf
( )S
1620 0 :M
FrMacBegin
B
0 FmP
F FmOP
194.695 387.165 M (  )S
FmE
1620 0 :M
f203 sf
( )S
1622 0 :M
FrMacBegin
B
0 FmP
F FmOP
199.695 387.165 M (t)S
FmE
1623 0 :M
f250 sf
( )S
1625 0 :M
FrMacBegin
B
0 FmP
F FmOP
202.474 383.165 M (m)S
FmE
1625 0 :M
f148 sf
( )S
1627 0 :M
FrMacBegin
B
0 FmP
F FmOP
208.251 387.165 M ([)S
FmE
1627 0 :M
f203 sf
( )S
1629 0 :M
FrMacBegin
B
0 FmP
F FmOP
211.579 387.165 M (k)S
FmE
1630 0 :M
f148 sf
( )S
1632 0 :M
FrMacBegin
B
0 FmP
F FmOP
216.017 387.165 M (].)S
42 401.299 M (2.)S
10.5 N (When the message is deli)S
-0.251 N (v)S
-0.151 N (ered to )S
FmE
1632 0 :M
f203 sf
( )S
1634 0 :M
FrMacBegin
B
0 FmP
F FmOP
196.208 401.299 M (P)S
FmE
1635 0 :M
f250 sf
( )S
1637 0 :M
FrMacBegin
B
0 FmP
F FmOP
202.317 403.799 M (j)S
FmE
1637 0 :M
f148 sf
( )S
1639 0 :M
FrMacBegin
B
0 FmP
F FmOP
204.54 401.299 M (, update )S
FmE
1639 0 :M
f203 sf
( )S
1641 0 :M
FrMacBegin
B
0 FmP
F FmOP
238.695 401.299 M (P)S
FmE
1642 0 :M
f250 sf
( )S
1644 0 :M
FrMacBegin
B
0 FmP
F FmOP
244.803 403.799 M (j)S
FmE
1644 0 :M
f148 sf
( )S
1646 0 :M
FrMacBegin
B
0 FmP
F FmOP
247.026 401.299 M (\325)S
-0.552 N (s v)S
-0.151 N (ector clock)S
42 415.432 M (3.)S
10.5 N (Check b)S
-0.2 N (uf)S
-0.251 N (fered messages to see if an)S
-0.151 N (y can be deli)S
-0.251 N (v)S
-0.151 N (ered.)S
FmE
1646 0 :M
f263 sf
( )S
1649 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 440.765 M (Example)S
FmE
1649 0 :M
f148 sf
( )S
1651 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 575.765 M (Here is the protocol applied to the abo)S
-0.151 N (v)S
-0.151 N (e situation:)S
FmE
1652 0 :M
f203 sf
( )S
1654 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 590.432 M (e)S
FmE
1654 0 :M
f276 sf
( )S
1656 0 :M
FrMacBegin
B
0 FmP
F FmOP
46.438 592.932 M (31)S
FmE
1656 0 :M
f148 sf
( )S
1658 0 :M
FrMacBegin
B
0 FmP
F FmOP
54.438 590.432 M (: )S
FmE
1659 0 :M
f203 sf
( )S
1661 0 :M
FrMacBegin
B
0 FmP
F FmOP
59.717 590.432 M (P)S
FmE
1661 0 :M
f276 sf
( )S
1663 0 :M
FrMacBegin
B
0 FmP
F FmOP
65.825 592.932 M (3)S
FmE
1663 0 :M
f148 sf
( )S
1665 0 :M
FrMacBegin
B
0 FmP
F FmOP
69.825 590.432 M ( sends message )S
FmE
1666 0 :M
f203 sf
( )S
1668 0 :M
FrMacBegin
B
0 FmP
F FmOP
133.414 590.432 M (a)S
FmE
1668 0 :M
f148 sf
( )S
1670 0 :M
FrMacBegin
B
0 FmP
F FmOP
138.414 590.432 M (; )S
FmE
1671 0 :M
f203 sf
( )S
1673 0 :M
FrMacBegin
B
0 FmP
F FmOP
143.692 590.432 M (C)S
FmE
1673 0 :M
f276 sf
( )S
1675 0 :M
FrMacBegin
B
0 FmP
F FmOP
150.362 592.932 M (3)S
FmE
1675 0 :M
f148 sf
( )S
1677 0 :M
FrMacBegin
B
0 FmP
F FmOP
154.362 590.432 M ( = \(0, 0, 1\); )S
FmE
1678 0 :M
f203 sf
( )S
1680 0 :M
FrMacBegin
B
0 FmP
F FmOP
201.936 590.432 M (t)S
FmE
1680 0 :M
f250 sf
( )S
1682 0 :M
FrMacBegin
B
0 FmP
F FmOP
204.714 586.432 M (a)S
FmE
1682 0 :M
f148 sf
( )S
1684 0 :M
FrMacBegin
B
0 FmP
F FmOP
208.714 590.432 M ( = \(0, 0, 1\))S
FmE
1685 0 :M
f203 sf
( )S
1687 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 606.932 M (e)S
FmE
1687 0 :M
f276 sf
( )S
1689 0 :M
FrMacBegin
B
0 FmP
F FmOP
46.438 609.432 M (21)S
FmE
1689 0 :M
f148 sf
( )S
1691 0 :M
FrMacBegin
B
0 FmP
F FmOP
54.438 606.932 M -0.07(: )W
FmE
1692 0 :M
f203 sf
( )S
1694 0 :M
FrMacBegin
B
0 FmP
F FmOP
59.647 606.932 M (P)S
FmE
1694 0 :M
f276 sf
( )S
1696 0 :M
FrMacBegin
B
0 FmP
F FmOP
65.755 609.432 M (2)S
FmE
1696 0 :M
f148 sf
( )S
1698 0 :M
FrMacBegin
B
0 FmP
F FmOP
69.755 606.932 M -0.07( recei)W
-0.251 N (v)S
-0.151 N -0.07(es message )W
FmE
1699 0 :M
f203 sf
( )S
1701 0 :M
FrMacBegin
B
0 FmP
F FmOP
143.263 606.932 M (a)S
FmE
1701 0 :M
f148 sf
( )S
1703 0 :M
FrMacBegin
B
0 FmP
F FmOP
148.263 606.932 M -0.07(. )W
-0.552 N -0.07(As )W
FmE
1704 0 :M
f203 sf
( )S
1706 0 :M
FrMacBegin
B
0 FmP
F FmOP
166.18 606.932 M (C)S
FmE
1706 0 :M
f276 sf
( )S
1708 0 :M
FrMacBegin
B
0 FmP
F FmOP
172.85 609.432 M (2)S
FmE
1708 0 :M
f148 sf
( )S
1710 0 :M
FrMacBegin
B
0 FmP
F FmOP
176.85 606.932 M -0.07( = \(0, 0, 0\), )W
FmE
1711 0 :M
f203 sf
( )S
1713 0 :M
FrMacBegin
B
0 FmP
F FmOP
223.794 606.932 M (C)S
FmE
1713 0 :M
f276 sf
( )S
1715 0 :M
FrMacBegin
B
0 FmP
F FmOP
230.464 609.432 M (2)S
FmE
1715 0 :M
f148 sf
( )S
1717 0 :M
FrMacBegin
B
0 FmP
F FmOP
234.464 606.932 M -0.07([3] = )W
FmE
1718 0 :M
f203 sf
( )S
1720 0 :M
FrMacBegin
B
0 FmP
F FmOP
256.619 606.932 M (t)S
FmE
1720 0 :M
f250 sf
( )S
1722 0 :M
FrMacBegin
B
0 FmP
F FmOP
259.397 602.932 M (a)S
FmE
1722 0 :M
f148 sf
( )S
1724 0 :M
FrMacBegin
B
0 FmP
F FmOP
263.397 606.932 M -0.07([3] \320 1 = 1 \320 1 = 0 and )W
FmE
1725 0 :M
f203 sf
( )S
1727 0 :M
FrMacBegin
B
0 FmP
F FmOP
355.069 606.932 M (C)S
FmE
1727 0 :M
f276 sf
( )S
1729 0 :M
FrMacBegin
B
0 FmP
F FmOP
361.739 609.432 M (2)S
FmE
1729 0 :M
f148 sf
( )S
1731 0 :M
FrMacBegin
B
0 FmP
F FmOP
365.739 606.932 M -0.07([1] )W
FmE
1732 0 :M
f237 sf
( )S
1734 0 :M
FrMacBegin
B
0 FmP
F FmOP
379.824 606.932 M (\263)S
FmE
1734 0 :M
f148 sf
( )S
1736 0 :M
FrMacBegin
B
0 FmP
F FmOP
385.313 606.932 M -0.07( )W
FmE
1737 0 :M
f203 sf
( )S
1739 0 :M
FrMacBegin
B
0 FmP
F FmOP
387.743 606.932 M (t)S
FmE
1739 0 :M
f250 sf
( )S
1741 0 :M
FrMacBegin
B
0 FmP
F FmOP
390.521 602.932 M (a)S
FmE
1741 0 :M
f148 sf
( )S
1743 0 :M
FrMacBegin
B
0 FmP
F FmOP
394.521 606.932 M -0.07([1] and )W
FmE
1744 0 :M
f203 sf
( )S
1746 0 :M
FrMacBegin
B
0 FmP
F FmOP
425.474 606.932 M (C)S
FmE
1746 0 :M
f276 sf
( )S
1748 0 :M
FrMacBegin
B
0 FmP
F FmOP
432.144 609.432 M (2)S
FmE
1748 0 :M
f148 sf
( )S
1750 0 :M
FrMacBegin
B
0 FmP
F FmOP
436.144 606.932 M -0.07([2] )W
FmE
1751 0 :M
f237 sf
( )S
1753 0 :M
FrMacBegin
B
0 FmP
F FmOP
450.23 606.932 M (\263)S
FmE
1753 0 :M
f148 sf
( )S
1755 0 :M
FrMacBegin
B
0 FmP
F FmOP
455.718 606.932 M -0.07( )W
FmE
1756 0 :M
f203 sf
( )S
1758 0 :M
FrMacBegin
B
0 FmP
F FmOP
458.148 606.932 M (t)S
FmE
1758 0 :M
f250 sf
( )S
1760 0 :M
FrMacBegin
B
0 FmP
F FmOP
460.926 602.932 M (a)S
FmE
1760 0 :M
f148 sf
( )S
1762 0 :M
FrMacBegin
B
0 FmP
F FmOP
464.926 606.932 M -0.07([2] = 0. So )W
42 620.765 M (the message is accepted, and C)S
FmE
1763 0 :M
f276 sf
( )S
1765 0 :M
FrMacBegin
B
0 FmP
F FmOP
165.835 623.265 M (2)S
FmE
1765 0 :M
f148 sf
( )S
1767 0 :M
FrMacBegin
B
0 FmP
F FmOP
169.835 620.765 M ( is set to \(0, 0, 1\))S
FmE
1767 0 :M
f203 sf
( )S
1769 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 637.265 M (e)S
FmE
1770 0 :M
f276 sf
( )S
1772 0 :M
FrMacBegin
B
0 FmP
F FmOP
46.438 639.765 M (11)S
FmE
1772 0 :M
f148 sf
( )S
1774 0 :M
FrMacBegin
B
0 FmP
F FmOP
54.438 637.265 M -0.142(: )W
FmE
1774 0 :M
f203 sf
( )S
1776 0 :M
FrMacBegin
B
0 FmP
F FmOP
59.575 637.265 M (P)S
FmE
1777 0 :M
f276 sf
( )S
1779 0 :M
FrMacBegin
B
0 FmP
F FmOP
65.684 639.765 M (1)S
FmE
1779 0 :M
f148 sf
( )S
1781 0 :M
FrMacBegin
B
0 FmP
F FmOP
69.684 637.265 M -0.142( recei)W
-0.251 N (v)S
-0.151 N -0.142(es message )W
FmE
1781 0 :M
f203 sf
( )S
1783 0 :M
FrMacBegin
B
0 FmP
F FmOP
142.977 637.265 M (a)S
FmE
1784 0 :M
f148 sf
( )S
1786 0 :M
FrMacBegin
B
0 FmP
F FmOP
147.977 637.265 M -0.142(.  )W
-0.552 N -0.142(As )W
FmE
1786 0 :M
f203 sf
( )S
1788 0 :M
FrMacBegin
B
0 FmP
F FmOP
168.109 637.265 M (C)S
FmE
1789 0 :M
f276 sf
( )S
1791 0 :M
FrMacBegin
B
0 FmP
F FmOP
174.779 639.765 M (1)S
FmE
1791 0 :M
f148 sf
( )S
1793 0 :M
FrMacBegin
B
0 FmP
F FmOP
178.779 637.265 M -0.142( = \(0, 0, 0\), )W
FmE
1793 0 :M
f203 sf
( )S
1795 0 :M
FrMacBegin
B
0 FmP
F FmOP
225.366 637.265 M (C)S
FmE
1796 0 :M
f276 sf
( )S
1798 0 :M
FrMacBegin
B
0 FmP
F FmOP
232.036 639.765 M (1)S
FmE
1798 0 :M
f148 sf
( )S
1800 0 :M
FrMacBegin
B
0 FmP
F FmOP
236.036 637.265 M -0.142([3] = )W
FmE
1800 0 :M
f203 sf
( )S
1802 0 :M
FrMacBegin
B
0 FmP
F FmOP
258.048 637.265 M (t)S
FmE
1803 0 :M
f250 sf
( )S
1805 0 :M
FrMacBegin
B
0 FmP
F FmOP
260.826 633.265 M (a)S
FmE
1805 0 :M
f148 sf
( )S
1807 0 :M
FrMacBegin
B
0 FmP
F FmOP
264.826 637.265 M -0.142([3] \320 1 = 1 \320 1 = 0 and )W
FmE
1807 0 :M
f203 sf
( )S
1809 0 :M
FrMacBegin
B
0 FmP
F FmOP
355.783 637.265 M (C)S
FmE
1810 0 :M
f276 sf
( )S
1812 0 :M
FrMacBegin
B
0 FmP
F FmOP
362.453 639.765 M (1)S
FmE
1812 0 :M
f148 sf
( )S
1814 0 :M
FrMacBegin
B
0 FmP
F FmOP
366.453 637.265 M -0.142([1] )W
FmE
1814 0 :M
f237 sf
( )S
1816 0 :M
FrMacBegin
B
0 FmP
F FmOP
380.467 637.265 M (\263)S
FmE
1817 0 :M
f148 sf
( )S
1819 0 :M
FrMacBegin
B
0 FmP
F FmOP
385.955 637.265 M -0.142( )W
FmE
1819 0 :M
f203 sf
( )S
1821 0 :M
FrMacBegin
B
0 FmP
F FmOP
388.314 637.265 M (t)S
FmE
1822 0 :M
f250 sf
( )S
1824 0 :M
FrMacBegin
B
0 FmP
F FmOP
391.092 633.265 M (a)S
FmE
1824 0 :M
f148 sf
( )S
1826 0 :M
FrMacBegin
B
0 FmP
F FmOP
395.092 637.265 M -0.142([1] and )W
FmE
1826 0 :M
f203 sf
( )S
1828 0 :M
FrMacBegin
B
0 FmP
F FmOP
425.903 637.265 M (C)S
FmE
1829 0 :M
f276 sf
( )S
1831 0 :M
FrMacBegin
B
0 FmP
F FmOP
432.573 639.765 M (1)S
FmE
1831 0 :M
f148 sf
( )S
1833 0 :M
FrMacBegin
B
0 FmP
F FmOP
436.573 637.265 M -0.142([2] )W
FmE
1833 0 :M
f237 sf
( )S
1835 0 :M
FrMacBegin
B
0 FmP
F FmOP
450.586 637.265 M (\263)S
FmE
1836 0 :M
f148 sf
( )S
1838 0 :M
FrMacBegin
B
0 FmP
F FmOP
456.075 637.265 M -0.142( )W
FmE
1838 0 :M
f203 sf
( )S
1840 0 :M
FrMacBegin
B
0 FmP
F FmOP
458.433 637.265 M (t)S
FmE
1841 0 :M
f250 sf
( )S
1843 0 :M
FrMacBegin
B
0 FmP
F FmOP
461.211 633.265 M (a)S
FmE
1843 0 :M
f148 sf
( )S
1845 0 :M
FrMacBegin
B
0 FmP
F FmOP
465.211 637.265 M -0.142([2] = 0. So )W
42 651.098 M (the message is accepted, and )S
FmE
1845 0 :M
f203 sf
( )S
1847 0 :M
FrMacBegin
B
0 FmP
F FmOP
159.166 651.098 M (C)S
FmE
1848 0 :M
f276 sf
( )S
1850 0 :M
FrMacBegin
B
0 FmP
F FmOP
165.835 653.598 M (1)S
FmE
1850 0 :M
f148 sf
( )S
1852 0 :M
FrMacBegin
B
0 FmP
F FmOP
169.835 651.098 M ( is set to \(0, 0, 1\))S
FmE
1852 0 :M
f203 sf
( )S
1854 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 667.598 M (e)S
FmE
1855 0 :M
f276 sf
( )S
1857 0 :M
FrMacBegin
B
0 FmP
F FmOP
46.438 670.098 M (22)S
FmE
1857 0 :M
f148 sf
( )S
1859 0 :M
FrMacBegin
B
0 FmP
F FmOP
54.438 667.598 M (: )S
FmE
1859 0 :M
f203 sf
( )S
1861 0 :M
FrMacBegin
B
0 FmP
F FmOP
59.717 667.598 M (P)S
FmE
1862 0 :M
f276 sf
( )S
1864 0 :M
FrMacBegin
B
0 FmP
F FmOP
65.825 670.098 M (2)S
FmE
1864 0 :M
f148 sf
( )S
1866 0 :M
FrMacBegin
B
0 FmP
F FmOP
69.825 667.598 M ( sends message )S
FmE
1866 0 :M
f203 sf
( )S
1868 0 :M
FrMacBegin
B
0 FmP
F FmOP
133.414 667.598 M (b)S
FmE
1869 0 :M
f148 sf
( )S
1871 0 :M
FrMacBegin
B
0 FmP
F FmOP
138.414 667.598 M (; )S
FmE
1871 0 :M
f203 sf
( )S
1873 0 :M
FrMacBegin
B
0 FmP
F FmOP
143.692 667.598 M (C)S
FmE
1874 0 :M
f276 sf
( )S
1876 0 :M
FrMacBegin
B
0 FmP
F FmOP
150.362 670.098 M (2)S
FmE
1876 0 :M
f148 sf
( )S
1878 0 :M
FrMacBegin
B
0 FmP
F FmOP
154.362 667.598 M ( = \(0, 1, 1\); )S
FmE
1878 0 :M
f203 sf
( )S
1880 0 :M
FrMacBegin
B
0 FmP
F FmOP
201.936 667.598 M (t)S
FmE
1881 0 :M
f250 sf
( )S
1883 0 :M
FrMacBegin
B
0 FmP
F FmOP
204.714 663.598 M (b)S
FmE
1883 0 :M
f148 sf
( )S
1885 0 :M
FrMacBegin
B
0 FmP
F FmOP
208.714 667.598 M ( = \(0, 1, 1\))S
FmE
42 444 468 119 rC
1885 0 :M
FrMacBegin
42 444.765 468 117.333 FmKp
B
0 FmP
F FmOP
96 463.569 FmB
378 0 FmL
2 1 FmSo
95.333 499.569 FmB
378 0 FmL
2 1 FmSo
96 544.569 FmB
378 0 FmL
2 1 FmSo
0 360 4.5 4.5 0 T 243.5 463.736 FmAF
T 0 360 4.5 4.5 0 243.5 463.736 2 1 F FmAP
0 360 4.5 4.5 0 T 184.833 499.736 FmAF
T 0 360 4.5 4.5 0 184.833 499.736 2 1 F FmAP
0 360 4.5 4.5 0 T 235.5 499.736 FmAF
T 0 360 4.5 4.5 0 235.5 499.736 2 1 F FmAP
0 360 4.5 4.5 0 T 147.5 545.736 FmAF
T 0 360 4.5 4.5 0 147.5 545.736 2 1 F FmAP
0 360 4.5 4.5 0 T 423.5 545.069 FmAF
T 0 360 4.5 4.5 0 423.5 545.069 2 1 F FmAP
0 360 4.5 4.5 0 T 420.833 464.403 FmAF
T 0 360 4.5 4.5 0 420.833 464.403 2 1 F FmAP
FmE
1885 0 :M
f289 sf
( )S
1888 0 :M
FrMacBegin
42 444.765 468 117.333 FmKp
B
0 FmP
F FmOP
75.333 463.936 M (P)S
FmE
1888 0 :M
f148 sf
( )S
1890 0 :M
FrMacBegin
42 444.765 468 117.333 FmKp
B
0 FmP
F FmOP
FmG 82.663 466.936 M 0.96 0.96 scale (1)S FmR
FmE
1891 0 :M
f289 sf
( )S
1894 0 :M
FrMacBegin
42 444.765 468 117.333 FmKp
B
0 FmP
F FmOP
75.333 501.27 M (P)S
FmE
1894 0 :M
f148 sf
( )S
1896 0 :M
FrMacBegin
42 444.765 468 117.333 FmKp
B
0 FmP
F FmOP
FmG 82.663 504.27 M 0.96 0.96 scale (2)S FmR
FmE
1896 0 :M
f289 sf
( )S
1899 0 :M
FrMacBegin
42 444.765 468 117.333 FmKp
B
0 FmP
F FmOP
75.333 547.936 M (P)S
FmE
1899 0 :M
f148 sf
( )S
1901 0 :M
FrMacBegin
42 444.765 468 117.333 FmKp
B
0 FmP
F FmOP
FmG 82.663 550.936 M 0.96 0.96 scale (3)S FmR
FmG 242.126 453.682 M 0.96 0.96 scale (e11)S FmR
FmG 182.667 492.27 M 0.96 0.96 scale (e21)S FmR
FmG 236 492.27 M 0.96 0.96 scale (e22)S FmR
FmG 131.333 536.936 M 0.96 0.96 scale (e31)S FmR
FmG 422 537.603 M 0.96 0.96 scale (e32)S FmR
FmG 414.667 456.936 M 0.96 0.96 scale (e12)S FmR
402.972 467.741 FmB
-0.616 -3.416 FmL
12.529 1.266 FmL
-11.296 5.565 FmL
1 FmS
402.972 467.741 FmB
-0.616 -3.416 FmL
12.529 1.266 FmL
-11.296 5.565 FmL
FmFl
239.333 497.27 FmB
163.146 -29.44 FmL
2 1 FmSo
405.734 538.313 FmB
0.737 -3.392 FmL
11.091 5.963 FmL
-12.566 0.82 FmL
1 FmS
405.734 538.313 FmB
0.737 -3.392 FmL
11.091 5.963 FmL
-12.566 0.82 FmL
FmFl
237.333 501.7 FmB
167.912 36.507 FmL
2 1 FmSo
174.319 513.208 FmB
-2.645 -2.248 FmL
10.484 -6.975 FmL
-5.195 11.471 FmL
1 FmS
174.319 513.208 FmB
-2.645 -2.248 FmL
10.484 -6.975 FmL
-5.195 11.471 FmL
FmFl
149.333 542.603 FmB
24.662 -29.014 FmL
2 1 FmSo
231.333 474.641 FmB
-2.23 -2.66 FmL
11.506 -5.116 FmL
-7.047 10.436 FmL
1 FmS
231.333 474.641 FmB
-2.23 -2.66 FmL
11.506 -5.116 FmL
-7.047 10.436 FmL
FmFl
151.333 541.7 FmB
79.617 -66.738 FmL
2 1 FmSo
FmE
endp
showpage
%%PageTrailer
%%Page: 5 5
%%PageProcessColors: Black
%%PageCustomColors: 
%%BeginPageSetup
initializepage
(The Bishops; page: 5 of 10)setjob
%%EndPageSetup
gS 0 0 552 728 rC
1902 0 :M
FrMacBegin
0 FmP
F FmOP
0 FmSP
FmE
42 14 468 14 rC
1902 0 :M
FrMacBegin
42 15 468 12 FmKp
B
0 FmP
F FmOP
42 16 FmB
468 0 FmL
2 1 FmSo
42 19 FmB
468 0 FmL
2 1 FmSo
FmE
gR
gS 0 0 552 728 rC
1902 0 :M
f148 sf
( )S
1904 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 11.667 M (February 17, 2000)S
112.359 N (ECS 251 \320 Winter 2000)S
159.015 N (Page )S
(5)S
157.278 725 M (Last modified at )S
(11:37 pm on Thursday, February 17, 2000)S
FmE
1905 0 :M
f203 sf
( )S
1907 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 50.333 M (e)S
FmE
1907 0 :M
f276 sf
( )S
1909 0 :M
FrMacBegin
B
0 FmP
F FmOP
46.438 52.833 M (12)S
FmE
1909 0 :M
f148 sf
( )S
1911 0 :M
FrMacBegin
B
0 FmP
F FmOP
54.438 50.333 M (: )S
FmE
1912 0 :M
f203 sf
( )S
1914 0 :M
FrMacBegin
B
0 FmP
F FmOP
59.717 50.333 M (P)S
FmE
1914 0 :M
f276 sf
( )S
1916 0 :M
FrMacBegin
B
0 FmP
F FmOP
65.825 52.833 M (1)S
FmE
1916 0 :M
f148 sf
( )S
1918 0 :M
FrMacBegin
B
0 FmP
F FmOP
69.825 50.333 M ( recei)S
-0.251 N (v)S
-0.151 N (es message )S
FmE
1919 0 :M
f203 sf
( )S
1921 0 :M
FrMacBegin
B
0 FmP
F FmOP
143.543 50.333 M (b)S
FmE
1921 0 :M
f148 sf
( )S
1923 0 :M
FrMacBegin
B
0 FmP
F FmOP
148.143 50.333 M (. )S
-0.552 N (As )S
FmE
1924 0 :M
f203 sf
( )S
1926 0 :M
FrMacBegin
B
0 FmP
F FmOP
166.2 50.333 M (C)S
FmE
1926 0 :M
f276 sf
( )S
1928 0 :M
FrMacBegin
B
0 FmP
F FmOP
172.87 52.833 M (1)S
FmE
1928 0 :M
f148 sf
( )S
1930 0 :M
FrMacBegin
B
0 FmP
F FmOP
176.87 50.333 M ( = \(0, 0, 1\), )S
FmE
1931 0 :M
f203 sf
( )S
1933 0 :M
FrMacBegin
B
0 FmP
F FmOP
224.165 50.333 M (C)S
FmE
1933 0 :M
f276 sf
( )S
1935 0 :M
FrMacBegin
B
0 FmP
F FmOP
230.834 52.833 M (1)S
FmE
1935 0 :M
f148 sf
( )S
1937 0 :M
FrMacBegin
B
0 FmP
F FmOP
234.834 50.333 M ([2] = )S
FmE
1938 0 :M
f203 sf
( )S
1940 0 :M
FrMacBegin
B
0 FmP
F FmOP
257.129 50.333 M (t)S
FmE
1940 0 :M
f250 sf
( )S
1942 0 :M
FrMacBegin
B
0 FmP
F FmOP
259.908 46.333 M (b)S
FmE
1942 0 :M
f148 sf
( )S
1944 0 :M
FrMacBegin
B
0 FmP
F FmOP
263.908 50.333 M ([2] \320 1 = 1\320 1 = 0 and )S
FmE
1945 0 :M
f203 sf
( )S
1947 0 :M
FrMacBegin
B
0 FmP
F FmOP
353.781 50.333 M (C)S
FmE
1947 0 :M
f276 sf
( )S
1949 0 :M
FrMacBegin
B
0 FmP
F FmOP
360.451 52.833 M (1)S
FmE
1949 0 :M
f148 sf
( )S
1951 0 :M
FrMacBegin
B
0 FmP
F FmOP
364.451 50.333 M ([1] )S
FmE
1952 0 :M
f237 sf
( )S
1954 0 :M
FrMacBegin
B
0 FmP
F FmOP
378.606 50.333 M (\263)S
FmE
1954 0 :M
f148 sf
( )S
1956 0 :M
FrMacBegin
B
0 FmP
F FmOP
384.094 50.333 M ( )S
FmE
1957 0 :M
f203 sf
( )S
1959 0 :M
FrMacBegin
B
0 FmP
F FmOP
386.594 50.333 M (t)S
FmE
1959 0 :M
f250 sf
( )S
1961 0 :M
FrMacBegin
B
0 FmP
F FmOP
389.373 46.333 M (b)S
FmE
1961 0 :M
f148 sf
( )S
1963 0 :M
FrMacBegin
B
0 FmP
F FmOP
393.373 50.333 M ([1] and )S
FmE
1964 0 :M
f203 sf
( )S
1966 0 :M
FrMacBegin
B
0 FmP
F FmOP
424.466 50.333 M (C)S
FmE
1966 0 :M
f276 sf
( )S
1968 0 :M
FrMacBegin
B
0 FmP
F FmOP
431.136 52.833 M (1)S
FmE
1968 0 :M
f148 sf
( )S
1970 0 :M
FrMacBegin
B
0 FmP
F FmOP
435.136 50.333 M ([3] )S
FmE
1971 0 :M
f237 sf
( )S
1973 0 :M
FrMacBegin
B
0 FmP
F FmOP
449.292 50.333 M (\263)S
FmE
1973 0 :M
f148 sf
( )S
1975 0 :M
FrMacBegin
B
0 FmP
F FmOP
454.78 50.333 M ( )S
FmE
1976 0 :M
f203 sf
( )S
1978 0 :M
FrMacBegin
B
0 FmP
F FmOP
457.28 50.333 M (t)S
FmE
1978 0 :M
f250 sf
( )S
1980 0 :M
FrMacBegin
B
0 FmP
F FmOP
460.058 46.333 M (b)S
FmE
1980 0 :M
f148 sf
( )S
1982 0 :M
FrMacBegin
B
0 FmP
F FmOP
464.058 50.333 M ([2] = 0. So )S
42 64.166 M (the message is accepted, and )S
FmE
1983 0 :M
f203 sf
( )S
1985 0 :M
FrMacBegin
B
0 FmP
F FmOP
159.166 64.166 M (C)S
FmE
1985 0 :M
f276 sf
( )S
1987 0 :M
FrMacBegin
B
0 FmP
F FmOP
165.835 66.666 M (1)S
FmE
1987 0 :M
f148 sf
( )S
1989 0 :M
FrMacBegin
B
0 FmP
F FmOP
169.835 64.166 M ( is set to \(0, 1, 1\))S
FmE
1990 0 :M
f203 sf
( )S
1992 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 80.666 M (e)S
FmE
1992 0 :M
f276 sf
( )S
1994 0 :M
FrMacBegin
B
0 FmP
F FmOP
46.438 83.166 M (32)S
FmE
1994 0 :M
f148 sf
( )S
1996 0 :M
FrMacBegin
B
0 FmP
F FmOP
54.438 80.666 M -0.13(: )W
FmE
1997 0 :M
f203 sf
( )S
1999 0 :M
FrMacBegin
B
0 FmP
F FmOP
59.587 80.666 M (P)S
FmE
1999 0 :M
f276 sf
( )S
2001 0 :M
FrMacBegin
B
0 FmP
F FmOP
65.695 83.166 M (3)S
FmE
2001 0 :M
f148 sf
( )S
2003 0 :M
FrMacBegin
B
0 FmP
F FmOP
69.695 80.666 M -0.13( recei)W
-0.251 N (v)S
-0.151 N -0.13(es message )W
FmE
2004 0 :M
f203 sf
( )S
2006 0 :M
FrMacBegin
B
0 FmP
F FmOP
143.024 80.666 M (b)S
FmE
2006 0 :M
f148 sf
( )S
2008 0 :M
FrMacBegin
B
0 FmP
F FmOP
147.624 80.666 M -0.13(.  )W
-0.552 N -0.13(As )W
FmE
2009 0 :M
f203 sf
( )S
2011 0 :M
FrMacBegin
B
0 FmP
F FmOP
167.791 80.666 M (C)S
FmE
2011 0 :M
f276 sf
( )S
2013 0 :M
FrMacBegin
B
0 FmP
F FmOP
174.461 83.166 M (3)S
FmE
2013 0 :M
f148 sf
( )S
2015 0 :M
FrMacBegin
B
0 FmP
F FmOP
178.461 80.666 M -0.13( = \(0, 0, 1\), )W
FmE
2016 0 :M
f203 sf
( )S
2018 0 :M
FrMacBegin
B
0 FmP
F FmOP
225.107 80.666 M (C)S
FmE
2018 0 :M
f276 sf
( )S
2020 0 :M
FrMacBegin
B
0 FmP
F FmOP
231.777 83.166 M (3)S
FmE
2020 0 :M
f148 sf
( )S
2022 0 :M
FrMacBegin
B
0 FmP
F FmOP
235.777 80.666 M -0.13([2] = )W
FmE
2023 0 :M
f203 sf
( )S
2025 0 :M
FrMacBegin
B
0 FmP
F FmOP
257.813 80.666 M (t)S
FmE
2025 0 :M
f250 sf
( )S
2027 0 :M
FrMacBegin
B
0 FmP
F FmOP
260.591 76.666 M (b)S
FmE
2027 0 :M
f148 sf
( )S
2029 0 :M
FrMacBegin
B
0 FmP
F FmOP
264.591 80.666 M -0.13([2] \320 1 = 1 \320 1 = 1 and )W
FmE
2030 0 :M
f203 sf
( )S
2032 0 :M
FrMacBegin
B
0 FmP
F FmOP
355.666 80.666 M (C)S
FmE
2032 0 :M
f276 sf
( )S
2034 0 :M
FrMacBegin
B
0 FmP
F FmOP
362.336 83.166 M (1)S
FmE
2034 0 :M
f148 sf
( )S
2036 0 :M
FrMacBegin
B
0 FmP
F FmOP
366.336 80.666 M -0.13([1] )W
FmE
2037 0 :M
f237 sf
( )S
2039 0 :M
FrMacBegin
B
0 FmP
F FmOP
380.362 80.666 M (\263)S
FmE
2039 0 :M
f148 sf
( )S
2041 0 :M
FrMacBegin
B
0 FmP
F FmOP
385.85 80.666 M -0.13( )W
FmE
2042 0 :M
f203 sf
( )S
2044 0 :M
FrMacBegin
B
0 FmP
F FmOP
388.22 80.666 M (t)S
FmE
2044 0 :M
f250 sf
( )S
2046 0 :M
FrMacBegin
B
0 FmP
F FmOP
390.998 76.666 M (b)S
FmE
2046 0 :M
f148 sf
( )S
2048 0 :M
FrMacBegin
B
0 FmP
F FmOP
394.998 80.666 M -0.13([1] and )W
FmE
2049 0 :M
f203 sf
( )S
2051 0 :M
FrMacBegin
B
0 FmP
F FmOP
425.833 80.666 M (C)S
FmE
2051 0 :M
f276 sf
( )S
2053 0 :M
FrMacBegin
B
0 FmP
F FmOP
432.503 83.166 M (1)S
FmE
2053 0 :M
f148 sf
( )S
2055 0 :M
FrMacBegin
B
0 FmP
F FmOP
436.503 80.666 M -0.13([3] )W
FmE
2056 0 :M
f237 sf
( )S
2058 0 :M
FrMacBegin
B
0 FmP
F FmOP
450.528 80.666 M (\263)S
FmE
2058 0 :M
f148 sf
( )S
2060 0 :M
FrMacBegin
B
0 FmP
F FmOP
456.016 80.666 M -0.13( )W
FmE
2061 0 :M
f203 sf
( )S
2063 0 :M
FrMacBegin
B
0 FmP
F FmOP
458.387 80.666 M (t)S
FmE
2063 0 :M
f250 sf
( )S
2065 0 :M
FrMacBegin
B
0 FmP
F FmOP
461.165 76.666 M (b)S
FmE
2065 0 :M
f148 sf
( )S
2067 0 :M
FrMacBegin
B
0 FmP
F FmOP
465.165 80.666 M -0.13([2] = 0. So )W
42 94.5 M (the message is accepted, and )S
FmE
2068 0 :M
f203 sf
( )S
2070 0 :M
FrMacBegin
B
0 FmP
F FmOP
159.166 94.5 M (C)S
FmE
2070 0 :M
f276 sf
( )S
2072 0 :M
FrMacBegin
B
0 FmP
F FmOP
165.835 97 M (3)S
FmE
2072 0 :M
f148 sf
( )S
2074 0 :M
FrMacBegin
B
0 FmP
F FmOP
169.835 94.5 M ( is set to \(0, 1, 1\))S
42 110.999 M (No)S
-0.251 N (w)S
-0.652 N (, suppose )S
FmE
2075 0 :M
f203 sf
( )S
2077 0 :M
FrMacBegin
B
0 FmP
F FmOP
100.252 110.999 M (t)S
FmE
2077 0 :M
f250 sf
( )S
2079 0 :M
FrMacBegin
B
0 FmP
F FmOP
103.03 106.999 M (a)S
FmE
2079 0 :M
f148 sf
( )S
2081 0 :M
FrMacBegin
B
0 FmP
F FmOP
107.03 110.999 M ( arri)S
-0.251 N (v)S
-0.151 N (ed as e)S
-0.251 N (v)S
-0.151 N (ent )S
FmE
2082 0 :M
f203 sf
( )S
2084 0 :M
FrMacBegin
B
0 FmP
F FmOP
174.518 110.999 M (e)S
FmE
2084 0 :M
f276 sf
( )S
2086 0 :M
FrMacBegin
B
0 FmP
F FmOP
178.957 113.499 M (12)S
FmE
2086 0 :M
f148 sf
( )S
2088 0 :M
FrMacBegin
B
0 FmP
F FmOP
186.957 110.999 M (, and )S
FmE
2089 0 :M
f203 sf
( )S
2091 0 :M
FrMacBegin
B
0 FmP
F FmOP
208.895 110.999 M (t)S
FmE
2091 0 :M
f250 sf
( )S
2093 0 :M
FrMacBegin
B
0 FmP
F FmOP
211.673 106.999 M (b)S
FmE
2093 0 :M
f148 sf
( )S
2095 0 :M
FrMacBegin
B
0 FmP
F FmOP
215.673 110.999 M ( as e)S
-0.251 N (v)S
-0.151 N (ent )S
FmE
2096 0 :M
f203 sf
( )S
2098 0 :M
FrMacBegin
B
0 FmP
F FmOP
252.753 110.999 M (e)S
FmE
2098 0 :M
f276 sf
( )S
2100 0 :M
FrMacBegin
B
0 FmP
F FmOP
257.192 113.499 M (11)S
FmE
2100 0 :M
f148 sf
( )S
2102 0 :M
FrMacBegin
B
0 FmP
F FmOP
265.192 110.999 M (. )S
-0.181 N (Then the progression of time in )S
FmE
2103 0 :M
f203 sf
( )S
2105 0 :M
FrMacBegin
B
0 FmP
F FmOP
398.305 110.999 M (P)S
FmE
2105 0 :M
f276 sf
( )S
2107 0 :M
FrMacBegin
B
0 FmP
F FmOP
404.413 113.499 M (1)S
FmE
2107 0 :M
f148 sf
( )S
2109 0 :M
FrMacBegin
B
0 FmP
F FmOP
408.413 110.999 M ( goes lik)S
-0.1 N (e this:)S
FmE
2110 0 :M
f203 sf
( )S
2112 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 127.499 M (e)S
FmE
2112 0 :M
f276 sf
( )S
2114 0 :M
FrMacBegin
B
0 FmP
F FmOP
46.438 129.999 M (11)S
FmE
2114 0 :M
f148 sf
( )S
2116 0 :M
FrMacBegin
B
0 FmP
F FmOP
54.438 127.499 M -0.003(: )W
FmE
2117 0 :M
f203 sf
( )S
2119 0 :M
FrMacBegin
B
0 FmP
F FmOP
59.713 127.499 M (P)S
FmE
2119 0 :M
f276 sf
( )S
2121 0 :M
FrMacBegin
B
0 FmP
F FmOP
65.822 129.999 M (1)S
FmE
2121 0 :M
f148 sf
( )S
2123 0 :M
FrMacBegin
B
0 FmP
F FmOP
69.822 127.499 M -0.003( recei)W
-0.251 N (v)S
-0.151 N -0.003(es message )W
FmE
2124 0 :M
f203 sf
( )S
2126 0 :M
FrMacBegin
B
0 FmP
F FmOP
143.53 127.499 M (b)S
FmE
2126 0 :M
f148 sf
( )S
2128 0 :M
FrMacBegin
B
0 FmP
F FmOP
148.129 127.499 M -0.003(. )W
-0.552 N -0.003(As )W
FmE
2129 0 :M
f203 sf
( )S
2131 0 :M
FrMacBegin
B
0 FmP
F FmOP
166.179 127.499 M (C)S
FmE
2131 0 :M
f276 sf
( )S
2133 0 :M
FrMacBegin
B
0 FmP
F FmOP
172.849 129.999 M (1)S
FmE
2133 0 :M
f148 sf
( )S
2135 0 :M
FrMacBegin
B
0 FmP
F FmOP
176.849 127.499 M -0.003( = \(0, 0, 0\), )W
FmE
2136 0 :M
f203 sf
( )S
2138 0 :M
FrMacBegin
B
0 FmP
F FmOP
224.126 127.499 M (C)S
FmE
2138 0 :M
f276 sf
( )S
2140 0 :M
FrMacBegin
B
0 FmP
F FmOP
230.796 129.999 M (1)S
FmE
2140 0 :M
f148 sf
( )S
2142 0 :M
FrMacBegin
B
0 FmP
F FmOP
234.796 127.499 M -0.003([2] = )W
FmE
2143 0 :M
f203 sf
( )S
2145 0 :M
FrMacBegin
B
0 FmP
F FmOP
257.084 127.499 M (t)S
FmE
2145 0 :M
f250 sf
( )S
2147 0 :M
FrMacBegin
B
0 FmP
F FmOP
259.862 123.499 M (b)S
FmE
2147 0 :M
f148 sf
( )S
2149 0 :M
FrMacBegin
B
0 FmP
F FmOP
263.862 127.499 M -0.003([2] \320 1 = 1 \320 1 = 0 and )W
FmE
2150 0 :M
f203 sf
( )S
2152 0 :M
FrMacBegin
B
0 FmP
F FmOP
356.201 127.499 M (C)S
FmE
2152 0 :M
f276 sf
( )S
2154 0 :M
FrMacBegin
B
0 FmP
F FmOP
362.871 129.999 M (1)S
FmE
2154 0 :M
f148 sf
( )S
2156 0 :M
FrMacBegin
B
0 FmP
F FmOP
366.871 127.499 M -0.003([1] )W
FmE
2157 0 :M
f237 sf
( )S
2159 0 :M
FrMacBegin
B
0 FmP
F FmOP
381.022 127.499 M (\263)S
FmE
2159 0 :M
f148 sf
( )S
2161 0 :M
FrMacBegin
B
0 FmP
F FmOP
386.511 127.499 M -0.003( )W
FmE
2162 0 :M
f203 sf
( )S
2164 0 :M
FrMacBegin
B
0 FmP
F FmOP
389.007 127.499 M (t)S
FmE
2164 0 :M
f250 sf
( )S
2166 0 :M
FrMacBegin
B
0 FmP
F FmOP
391.786 123.499 M (b)S
FmE
2166 0 :M
f148 sf
( )S
2168 0 :M
FrMacBegin
B
0 FmP
F FmOP
395.786 127.499 M -0.003([1], b)W
-0.2 N -0.003(ut )W
FmE
2169 0 :M
f203 sf
( )S
2171 0 :M
FrMacBegin
B
0 FmP
F FmOP
427.512 127.499 M (C)S
FmE
2171 0 :M
f276 sf
( )S
2173 0 :M
FrMacBegin
B
0 FmP
F FmOP
434.182 129.999 M (1)S
FmE
2173 0 :M
f148 sf
( )S
2175 0 :M
FrMacBegin
B
0 FmP
F FmOP
438.182 127.499 M -0.003([3] < )W
FmE
2176 0 :M
f203 sf
( )S
2178 0 :M
FrMacBegin
B
0 FmP
F FmOP
460.47 127.499 M (t)S
FmE
2178 0 :M
f250 sf
( )S
2180 0 :M
FrMacBegin
B
0 FmP
F FmOP
463.248 123.499 M (b)S
FmE
2180 0 :M
f148 sf
( )S
2182 0 :M
FrMacBegin
B
0 FmP
F FmOP
467.248 127.499 M -0.003([3], so the )W
42 141.332 M (message is held until another message arri)S
-0.251 N (v)S
-0.151 N (es. )S
-0.181 N (The v)S
-0.151 N (ector clock updating algorithm is not run.)S
FmE
2183 0 :M
f203 sf
( )S
2185 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 155.999 M (e)S
FmE
2185 0 :M
f276 sf
( )S
2187 0 :M
FrMacBegin
B
0 FmP
F FmOP
46.438 158.499 M (12)S
FmE
2187 0 :M
f148 sf
( )S
2189 0 :M
FrMacBegin
B
0 FmP
F FmOP
54.438 155.999 M (: )S
FmE
2190 0 :M
f203 sf
( )S
2192 0 :M
FrMacBegin
B
0 FmP
F FmOP
59.717 155.999 M (P)S
FmE
2192 0 :M
f276 sf
( )S
2194 0 :M
FrMacBegin
B
0 FmP
F FmOP
65.825 158.499 M (1)S
FmE
2194 0 :M
f148 sf
( )S
2196 0 :M
FrMacBegin
B
0 FmP
F FmOP
69.825 155.999 M ( recei)S
-0.251 N (v)S
-0.151 N (es message )S
FmE
2197 0 :M
f203 sf
( )S
2199 0 :M
FrMacBegin
B
0 FmP
F FmOP
143.543 155.999 M (a)S
FmE
2199 0 :M
f148 sf
( )S
2201 0 :M
FrMacBegin
B
0 FmP
F FmOP
148.543 155.999 M (. )S
-0.552 N (As )S
FmE
2202 0 :M
f203 sf
( )S
2204 0 :M
FrMacBegin
B
0 FmP
F FmOP
166.6 155.999 M (C)S
FmE
2204 0 :M
f276 sf
( )S
2206 0 :M
FrMacBegin
B
0 FmP
F FmOP
173.27 158.499 M (1)S
FmE
2206 0 :M
f148 sf
( )S
2208 0 :M
FrMacBegin
B
0 FmP
F FmOP
177.27 155.999 M ( = \(0, 0, 0\), )S
FmE
2209 0 :M
f203 sf
( )S
2211 0 :M
FrMacBegin
B
0 FmP
F FmOP
224.565 155.999 M (C)S
FmE
2211 0 :M
f276 sf
( )S
2213 0 :M
FrMacBegin
B
0 FmP
F FmOP
231.235 158.499 M (1)S
FmE
2213 0 :M
f148 sf
( )S
2215 0 :M
FrMacBegin
B
0 FmP
F FmOP
235.235 155.999 M ([3] = )S
FmE
2216 0 :M
f203 sf
( )S
2218 0 :M
FrMacBegin
B
0 FmP
F FmOP
257.53 155.999 M (t)S
FmE
2218 0 :M
f250 sf
( )S
2220 0 :M
FrMacBegin
B
0 FmP
F FmOP
260.308 151.999 M (a)S
FmE
2220 0 :M
f148 sf
( )S
2222 0 :M
FrMacBegin
B
0 FmP
F FmOP
264.308 155.999 M ([3] \320 1 = 1 \320 1 = 0, )S
FmE
2223 0 :M
f203 sf
( )S
2225 0 :M
FrMacBegin
B
0 FmP
F FmOP
342.243 155.999 M (C)S
FmE
2225 0 :M
f276 sf
( )S
2227 0 :M
FrMacBegin
B
0 FmP
F FmOP
348.913 158.499 M (1)S
FmE
2227 0 :M
f148 sf
( )S
2229 0 :M
FrMacBegin
B
0 FmP
F FmOP
352.913 155.999 M ([1] )S
FmE
2230 0 :M
f237 sf
( )S
2232 0 :M
FrMacBegin
B
0 FmP
F FmOP
367.068 155.999 M (\263)S
FmE
2232 0 :M
f148 sf
( )S
2234 0 :M
FrMacBegin
B
0 FmP
F FmOP
372.556 155.999 M ( )S
FmE
2235 0 :M
f203 sf
( )S
2237 0 :M
FrMacBegin
B
0 FmP
F FmOP
375.056 155.999 M (t)S
FmE
2237 0 :M
f250 sf
( )S
2239 0 :M
FrMacBegin
B
0 FmP
F FmOP
377.834 151.999 M (a)S
FmE
2239 0 :M
f148 sf
( )S
2241 0 :M
FrMacBegin
B
0 FmP
F FmOP
381.834 155.999 M ([1], and )S
FmE
2242 0 :M
f203 sf
( )S
2244 0 :M
FrMacBegin
B
0 FmP
F FmOP
415.428 155.999 M (C)S
FmE
2244 0 :M
f276 sf
( )S
2246 0 :M
FrMacBegin
B
0 FmP
F FmOP
422.098 158.499 M (1)S
FmE
2246 0 :M
f148 sf
( )S
2248 0 :M
FrMacBegin
B
0 FmP
F FmOP
426.098 155.999 M ([2] )S
FmE
2249 0 :M
f237 sf
( )S
2251 0 :M
FrMacBegin
B
0 FmP
F FmOP
440.253 155.999 M (\263)S
FmE
2251 0 :M
f148 sf
( )S
2253 0 :M
FrMacBegin
B
0 FmP
F FmOP
445.742 155.999 M ( )S
FmE
2254 0 :M
f203 sf
( )S
2256 0 :M
FrMacBegin
B
0 FmP
F FmOP
448.242 155.999 M (t)S
FmE
2256 0 :M
f250 sf
( )S
2258 0 :M
FrMacBegin
B
0 FmP
F FmOP
451.02 151.999 M (a)S
FmE
2258 0 :M
f148 sf
( )S
2260 0 :M
FrMacBegin
B
0 FmP
F FmOP
455.02 155.999 M ([2]. )S
-0.181 N (The mes-)S
42 172.499 M (sage is accepted and )S
FmE
2261 0 :M
f203 sf
( )S
2263 0 :M
FrMacBegin
B
0 FmP
F FmOP
125.843 172.499 M (C)S
FmE
2263 0 :M
f276 sf
( )S
2265 0 :M
FrMacBegin
B
0 FmP
F FmOP
132.513 174.999 M (1)S
FmE
2265 0 :M
f148 sf
( )S
2267 0 :M
FrMacBegin
B
0 FmP
F FmOP
136.513 172.499 M ( is set to \(0, 0, 1\). No)S
-0.251 N (w the queue is check)S
-0.1 N (ed. )S
-0.552 N (As )S
FmE
2268 0 :M
f203 sf
( )S
2270 0 :M
FrMacBegin
B
0 FmP
F FmOP
331.378 172.499 M (C)S
FmE
2270 0 :M
f276 sf
( )S
2272 0 :M
FrMacBegin
B
0 FmP
F FmOP
338.048 174.999 M (1)S
FmE
2272 0 :M
f148 sf
( )S
2274 0 :M
FrMacBegin
B
0 FmP
F FmOP
342.048 172.499 M ([2] = )S
FmE
2275 0 :M
f203 sf
( )S
2277 0 :M
FrMacBegin
B
0 FmP
F FmOP
364.343 172.499 M (t)S
FmE
2277 0 :M
f250 sf
( )S
2279 0 :M
FrMacBegin
B
0 FmP
F FmOP
367.122 168.499 M (b)S
FmE
2279 0 :M
f148 sf
( )S
2281 0 :M
FrMacBegin
B
0 FmP
F FmOP
371.122 172.499 M ([2] \320 1 = 1 \320 1 = 0, )S
FmE
2282 0 :M
f203 sf
( )S
2284 0 :M
FrMacBegin
B
0 FmP
F FmOP
449.056 172.499 M (C)S
FmE
2284 0 :M
f276 sf
( )S
2286 0 :M
FrMacBegin
B
0 FmP
F FmOP
455.726 174.999 M (1)S
FmE
2286 0 :M
f148 sf
( )S
2288 0 :M
FrMacBegin
B
0 FmP
F FmOP
459.726 172.499 M ([1] )S
FmE
2289 0 :M
f237 sf
( )S
2291 0 :M
FrMacBegin
B
0 FmP
F FmOP
473.881 172.499 M (\263)S
FmE
2291 0 :M
f148 sf
( )S
2293 0 :M
FrMacBegin
B
0 FmP
F FmOP
479.37 172.499 M ( )S
FmE
2294 0 :M
f203 sf
( )S
2296 0 :M
FrMacBegin
B
0 FmP
F FmOP
481.87 172.499 M (t)S
FmE
2296 0 :M
f250 sf
( )S
2298 0 :M
FrMacBegin
B
0 FmP
F FmOP
484.648 168.499 M (b)S
FmE
2298 0 :M
f148 sf
( )S
2300 0 :M
FrMacBegin
B
0 FmP
F FmOP
488.648 172.499 M ([1], )S
42 188.999 M (and )S
FmE
2301 0 :M
f203 sf
( )S
2303 0 :M
FrMacBegin
B
0 FmP
F FmOP
58.938 188.999 M (C)S
FmE
2303 0 :M
f276 sf
( )S
2305 0 :M
FrMacBegin
B
0 FmP
F FmOP
65.608 191.499 M (1)S
FmE
2305 0 :M
f148 sf
( )S
2307 0 :M
FrMacBegin
B
0 FmP
F FmOP
69.608 188.999 M ([3] )S
FmE
2308 0 :M
f237 sf
( )S
2310 0 :M
FrMacBegin
B
0 FmP
F FmOP
83.764 188.999 M (\263)S
FmE
2310 0 :M
f148 sf
( )S
2312 0 :M
FrMacBegin
B
0 FmP
F FmOP
89.252 188.999 M ( )S
FmE
2313 0 :M
f203 sf
( )S
2315 0 :M
FrMacBegin
B
0 FmP
F FmOP
91.752 188.999 M (t)S
FmE
2315 0 :M
f250 sf
( )S
2317 0 :M
FrMacBegin
B
0 FmP
F FmOP
94.53 184.999 M (b)S
FmE
2317 0 :M
f148 sf
( )S
2319 0 :M
FrMacBegin
B
0 FmP
F FmOP
98.53 188.999 M ([3], that message is accepted and )S
FmE
2320 0 :M
f203 sf
( )S
2322 0 :M
FrMacBegin
B
0 FmP
F FmOP
232.629 188.999 M (C)S
FmE
2322 0 :M
f276 sf
( )S
2324 0 :M
FrMacBegin
B
0 FmP
F FmOP
239.299 191.499 M (1)S
FmE
2324 0 :M
f148 sf
( )S
2326 0 :M
FrMacBegin
B
0 FmP
F FmOP
243.299 188.999 M ( is set to \(0, 1, 1\).)S
FmE
endp
showpage
%%PageTrailer
%%Page: 6 6
%%PageProcessColors: Black
%%PageCustomColors: 
%%BeginPageSetup
initializepage
(The Bishops; page: 6 of 10)setjob
%%EndPageSetup
gS 0 0 552 728 rC
2327 0 :M
FrMacBegin
0 FmP
F FmOP
0 FmSP
FmE
42 14 468 14 rC
2327 0 :M
FrMacBegin
42 15 468 12 FmKp
B
0 FmP
F FmOP
42 16 FmB
468 0 FmL
2 1 FmSo
42 19 FmB
468 0 FmL
2 1 FmSo
FmE
gR
gS 0 0 552 728 rC
2327 0 :M
f148 sf
( )S
2329 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 11.667 M (February 17, 2000)S
112.359 N (ECS 251 \320 Winter 2000)S
159.015 N (Page )S
(6)S
157.278 725 M (Last modified at )S
(11:37 pm on Thursday, February 17, 2000)S
FmE
2330 0 :M
f175 sf
( )S
2334 0 :M
FrMacBegin
B
0 FmP
F FmOP
158.273 53 M (Schiper)S
-0.668 N (-Eggli-Sandoz Pr)S
-0.325 N (otocol)S
FmE
2334 0 :M
f263 sf
( )S
2337 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 85 M (Intr)S
-0.217 N (oduction)S
FmE
2337 0 :M
f148 sf
( )S
2339 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 102.667 M (The goal of this protocol is to ensure that messages are gi)S
-0.251 N (v)S
-0.151 N (en to the recei)S
-0.251 N (ving processes in order of sending. Unlik)S
-0.1 N (e )S
42 114.667 M (the Birman-Schiper)S
-0.2 N (-Stephenson protocol, it does not require using broadcast messages. Each message has an associ-)S
42 126.667 M -0.353(ated v)W
-0.151 N -0.353(ector that contains information for the recipient to determine if another message preceded it. Clocks are updated )W
42 138.667 M (only when messages are sent.)S
FmE
2340 0 :M
f263 sf
( )S
2343 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 164 M (Notation)S
FmE
2343 0 :M
f148 sf
( )S
2345 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 181.667 M (\245)S
FmE
2345 0 :M
f203 sf
( )S
2347 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 181.667 M (n)S
FmE
2348 0 :M
f148 sf
( )S
2350 0 :M
FrMacBegin
B
0 FmP
F FmOP
65 181.667 M ( processes)S
42 196.667 M (\245)S
FmE
2350 0 :M
f203 sf
( )S
2352 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 196.667 M (P)S
FmE
2353 0 :M
f250 sf
( )S
2355 0 :M
FrMacBegin
B
0 FmP
F FmOP
66.108 199.167 M (i)S
FmE
2355 0 :M
f148 sf
( )S
2357 0 :M
FrMacBegin
B
0 FmP
F FmOP
68.331 196.667 M ( process)S
42 213.5 M (\245)S
FmE
2357 0 :M
f203 sf
( )S
2359 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 213.5 M (C)S
FmE
2360 0 :M
f250 sf
( )S
2362 0 :M
FrMacBegin
B
0 FmP
F FmOP
66.67 216 M (i)S
FmE
2362 0 :M
f148 sf
( )S
2364 0 :M
FrMacBegin
B
0 FmP
F FmOP
68.893 213.5 M -0.013(. v)W
-0.151 N -0.013(ector clock associated with process )W
FmE
2364 0 :M
f203 sf
( )S
2366 0 :M
FrMacBegin
B
0 FmP
F FmOP
221.65 213.5 M (P)S
FmE
2367 0 :M
f250 sf
( )S
2369 0 :M
FrMacBegin
B
0 FmP
F FmOP
227.759 216 M (i)S
FmE
2369 0 :M
f148 sf
( )S
2371 0 :M
FrMacBegin
B
0 FmP
F FmOP
229.981 213.5 M -0.013(; )W
FmE
2371 0 :M
f203 sf
( )S
2373 0 :M
FrMacBegin
B
0 FmP
F FmOP
235.247 213.5 M (j)S
FmE
2374 0 :M
f148 sf
( )S
2376 0 :M
FrMacBegin
B
0 FmP
F FmOP
238.025 213.5 M -0.013(th element is )W
FmE
2376 0 :M
f203 sf
( )S
2378 0 :M
FrMacBegin
B
0 FmP
F FmOP
291.583 213.5 M (C)S
FmE
2379 0 :M
f250 sf
( )S
2381 0 :M
FrMacBegin
B
0 FmP
F FmOP
298.253 216 M (i)S
FmE
2381 0 :M
f148 sf
( )S
2383 0 :M
FrMacBegin
B
0 FmP
F FmOP
300.476 213.5 M ([)S
FmE
2383 0 :M
f203 sf
( )S
2385 0 :M
FrMacBegin
B
0 FmP
F FmOP
303.803 213.5 M (j)S
FmE
2386 0 :M
f148 sf
( )S
2388 0 :M
FrMacBegin
B
0 FmP
F FmOP
306.582 213.5 M -0.013(] and contains )W
FmE
2388 0 :M
f203 sf
( )S
2390 0 :M
FrMacBegin
B
0 FmP
F FmOP
365.132 213.5 M (P)S
FmE
2391 0 :M
f250 sf
( )S
2393 0 :M
FrMacBegin
B
0 FmP
F FmOP
371.241 216 M (i)S
FmE
2393 0 :M
f148 sf
( )S
2395 0 :M
FrMacBegin
B
0 FmP
F FmOP
373.463 213.5 M (\325)S
-0.552 N -0.013(s latest v)W
-0.251 N -0.013(alue for the current time )W
60 227.333 M (in process )S
FmE
2395 0 :M
f203 sf
( )S
2397 0 :M
FrMacBegin
B
0 FmP
F FmOP
102.761 227.333 M (P)S
FmE
2398 0 :M
f250 sf
( )S
2400 0 :M
FrMacBegin
B
0 FmP
F FmOP
108.87 229.833 M (k)S
FmE
2400 0 :M
f148 sf
( )S
2402 0 :M
FrMacBegin
B
0 FmP
F FmOP
112.42 227.333 M (.)S
42 246.833 M (\245)S
FmE
2402 0 :M
f203 sf
( )S
2404 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 246.833 M (t)S
FmE
2405 0 :M
f250 sf
( )S
2407 0 :M
FrMacBegin
B
0 FmP
F FmOP
62.778 242.833 M (m)S
FmE
2407 0 :M
f148 sf
( )S
2409 0 :M
FrMacBegin
B
0 FmP
F FmOP
68.556 246.833 M ( v)S
-0.151 N (ector timestamp for message )S
FmE
2409 0 :M
f203 sf
( )S
2411 0 :M
FrMacBegin
B
0 FmP
F FmOP
193.072 246.833 M (m)S
FmE
2412 0 :M
f148 sf
( )S
2414 0 :M
FrMacBegin
B
0 FmP
F FmOP
200.292 246.833 M ( \(stamped )S
FmE
2414 0 :M
f203 sf
( )S
2416 0 :M
FrMacBegin
B
0 FmP
F FmOP
241.942 246.833 M (after)S
FmE
2417 0 :M
f148 sf
( )S
2419 0 :M
FrMacBegin
B
0 FmP
F FmOP
260.826 246.833 M ( local clock is incremented\))S
42 264.499 M (\245)S
FmE
2419 0 :M
f203 sf
( )S
2421 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 264.499 M (t)S
FmE
2422 0 :M
f250 sf
( )S
2424 0 :M
FrMacBegin
B
0 FmP
F FmOP
62.778 260.5 M (i)S
FmE
2424 0 :M
f148 sf
( )S
2426 0 :M
FrMacBegin
B
0 FmP
F FmOP
65.001 264.499 M ( current time at process )S
FmE
2426 0 :M
f203 sf
( )S
2428 0 :M
FrMacBegin
B
0 FmP
F FmOP
160.785 264.499 M (P)S
FmE
2429 0 :M
f250 sf
( )S
2431 0 :M
FrMacBegin
B
0 FmP
F FmOP
166.893 266.999 M (i)S
FmE
2431 0 :M
f148 sf
( )S
2433 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 283.999 M (\245)S
FmE
2433 0 :M
f203 sf
( )S
2435 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 283.999 M (V)S
FmE
2436 0 :M
f250 sf
( )S
2438 0 :M
FrMacBegin
B
0 FmP
F FmOP
65.515 286.499 M (i)S
FmE
2438 0 :M
f148 sf
( )S
2440 0 :M
FrMacBegin
B
0 FmP
F FmOP
67.737 283.999 M -0.05(  v)W
-0.151 N -0.05(ector of )W
FmE
2440 0 :M
f203 sf
( )S
2442 0 :M
FrMacBegin
B
0 FmP
F FmOP
110.697 283.999 M (P)S
FmE
2443 0 :M
f250 sf
( )S
2445 0 :M
FrMacBegin
B
0 FmP
F FmOP
116.805 286.499 M (i)S
FmE
2445 0 :M
f148 sf
( )S
2447 0 :M
FrMacBegin
B
0 FmP
F FmOP
119.028 283.999 M (\325)S
-0.552 N -0.05(s pre)W
-0.251 N -0.05(viously sent messages; )W
FmE
2447 0 :M
f203 sf
( )S
2449 0 :M
FrMacBegin
B
0 FmP
F FmOP
233.748 283.999 M (V)S
FmE
2450 0 :M
f250 sf
( )S
2452 0 :M
FrMacBegin
B
0 FmP
F FmOP
239.262 286.499 M (i)S
FmE
2452 0 :M
f148 sf
( )S
2454 0 :M
FrMacBegin
B
0 FmP
F FmOP
241.485 283.999 M ([)S
FmE
2454 0 :M
f203 sf
( )S
2456 0 :M
FrMacBegin
B
0 FmP
F FmOP
244.813 283.999 M (j)S
FmE
2457 0 :M
f148 sf
( )S
2459 0 :M
FrMacBegin
B
0 FmP
F FmOP
247.591 283.999 M -0.05(] = )W
FmE
2459 0 :M
f203 sf
( )S
2461 0 :M
FrMacBegin
B
0 FmP
F FmOP
261.459 283.999 M (t)S
FmE
2462 0 :M
f250 sf
( )S
2464 0 :M
FrMacBegin
B
0 FmP
F FmOP
264.237 279.999 M (m)S
FmE
2464 0 :M
f148 sf
( )S
2466 0 :M
FrMacBegin
B
0 FmP
F FmOP
270.014 283.999 M -0.05(, where )W
FmE
2466 0 :M
f203 sf
( )S
2468 0 :M
FrMacBegin
B
0 FmP
F FmOP
301.838 283.999 M (P)S
FmE
2469 0 :M
f250 sf
( )S
2471 0 :M
FrMacBegin
B
0 FmP
F FmOP
307.947 286.499 M (j)S
FmE
2471 0 :M
f148 sf
( )S
2473 0 :M
FrMacBegin
B
0 FmP
F FmOP
310.169 283.999 M -0.05( is the destination process and )W
FmE
2473 0 :M
f203 sf
( )S
2475 0 :M
FrMacBegin
B
0 FmP
F FmOP
432.055 283.999 M (t)S
FmE
2476 0 :M
f250 sf
( )S
2478 0 :M
FrMacBegin
B
0 FmP
F FmOP
434.833 279.999 M (m)S
FmE
2478 0 :M
f148 sf
( )S
2480 0 :M
FrMacBegin
B
0 FmP
F FmOP
440.611 283.999 M -0.05( the v)W
-0.151 N -0.05(ector times-)W
60 297.833 M (tamp of the message; )S
FmE
2480 0 :M
f203 sf
( )S
2482 0 :M
FrMacBegin
B
0 FmP
F FmOP
146.838 297.833 M (V)S
FmE
2483 0 :M
f250 sf
( )S
2485 0 :M
FrMacBegin
B
0 FmP
F FmOP
152.353 300.333 M (i)S
FmE
2485 0 :M
f148 sf
( )S
2487 0 :M
FrMacBegin
B
0 FmP
F FmOP
154.576 297.833 M ([)S
FmE
2487 0 :M
f203 sf
( )S
2489 0 :M
FrMacBegin
B
0 FmP
F FmOP
157.903 297.833 M (j)S
FmE
2490 0 :M
f148 sf
( )S
2492 0 :M
FrMacBegin
B
0 FmP
F FmOP
160.682 297.833 M (][)S
FmE
2492 0 :M
f203 sf
( )S
2494 0 :M
FrMacBegin
B
0 FmP
F FmOP
167.337 297.833 M (k)S
FmE
2495 0 :M
f148 sf
( )S
2497 0 :M
FrMacBegin
B
0 FmP
F FmOP
171.775 297.833 M (] is the )S
FmE
2497 0 :M
f203 sf
( )S
2499 0 :M
FrMacBegin
B
0 FmP
F FmOP
201.487 297.833 M (k)S
FmE
2500 0 :M
f148 sf
( )S
2502 0 :M
FrMacBegin
B
0 FmP
F FmOP
205.926 297.833 M (th component of )S
FmE
2502 0 :M
f203 sf
( )S
2504 0 :M
FrMacBegin
B
0 FmP
F FmOP
273.614 297.833 M (V)S
FmE
2505 0 :M
f250 sf
( )S
2507 0 :M
FrMacBegin
B
0 FmP
F FmOP
279.128 300.333 M (i)S
FmE
2507 0 :M
f148 sf
( )S
2509 0 :M
FrMacBegin
B
0 FmP
F FmOP
281.351 297.833 M ([)S
FmE
2509 0 :M
f203 sf
( )S
2511 0 :M
FrMacBegin
B
0 FmP
F FmOP
284.679 297.833 M (j)S
FmE
2512 0 :M
f148 sf
( )S
2514 0 :M
FrMacBegin
B
0 FmP
F FmOP
287.457 297.833 M (].)S
42 317.332 M (\245)S
FmE
2514 0 :M
f203 sf
( )S
2516 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 317.332 M (V)S
FmE
2517 0 :M
f250 sf
( )S
2519 0 :M
FrMacBegin
B
0 FmP
F FmOP
66.108 313.332 M (m)S
FmE
2519 0 :M
f148 sf
( )S
2521 0 :M
FrMacBegin
B
0 FmP
F FmOP
71.886 317.332 M ( v)S
-0.151 N (ector accompan)S
-0.151 N (ying message )S
FmE
2521 0 :M
f203 sf
( )S
2523 0 :M
FrMacBegin
B
0 FmP
F FmOP
198.749 317.332 M (m)S
FmE
2524 0 :M
f263 sf
( )S
2527 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 342.666 M (Pr)S
-0.217 N (otocol)S
FmE
2527 0 :M
f319 sf
( )S
2529 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 360.332 M (P)S
FmE
2529 0 :M
f332 sf
( )S
2531 0 :M
FrMacBegin
B
0 FmP
F FmOP
48.108 362.832 M (i)S
FmE
2531 0 :M
f345 sf
( )S
2533 0 :M
FrMacBegin
B
0 FmP
F FmOP
50.331 360.332 M ( sends a message to )S
FmE
2534 0 :M
f319 sf
( )S
2536 0 :M
FrMacBegin
B
0 FmP
F FmOP
134.477 360.332 M (P)S
FmE
2536 0 :M
f332 sf
( )S
2538 0 :M
FrMacBegin
B
0 FmP
F FmOP
140.585 362.832 M (j)S
FmE
2538 0 :M
f148 sf
( )S
2540 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 376.832 M (1.)S
FmE
2541 0 :M
f203 sf
( )S
2543 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 376.832 M (P)S
FmE
2543 0 :M
f250 sf
( )S
2545 0 :M
FrMacBegin
B
0 FmP
F FmOP
66.108 379.332 M (i)S
FmE
2545 0 :M
f148 sf
( )S
2547 0 :M
FrMacBegin
B
0 FmP
F FmOP
68.331 376.832 M ( sends message )S
FmE
2548 0 :M
f203 sf
( )S
2550 0 :M
FrMacBegin
B
0 FmP
F FmOP
131.92 376.832 M (m)S
FmE
2550 0 :M
f148 sf
( )S
2552 0 :M
FrMacBegin
B
0 FmP
F FmOP
139.139 376.832 M (, timestamped )S
FmE
2553 0 :M
f203 sf
( )S
2555 0 :M
FrMacBegin
B
0 FmP
F FmOP
197.735 376.832 M (t)S
FmE
2555 0 :M
f250 sf
( )S
2557 0 :M
FrMacBegin
B
0 FmP
F FmOP
200.514 372.832 M (m)S
FmE
2557 0 :M
f148 sf
( )S
2559 0 :M
FrMacBegin
B
0 FmP
F FmOP
206.291 376.832 M (, and )S
FmE
2560 0 :M
f203 sf
( )S
2562 0 :M
FrMacBegin
B
0 FmP
F FmOP
227.878 376.832 M (V)S
FmE
2562 0 :M
f250 sf
( )S
2564 0 :M
FrMacBegin
B
0 FmP
F FmOP
233.393 379.332 M (i)S
FmE
2564 0 :M
f148 sf
( )S
2566 0 :M
FrMacBegin
B
0 FmP
F FmOP
235.615 376.832 M (, to process )S
FmE
2567 0 :M
f203 sf
( )S
2569 0 :M
FrMacBegin
B
0 FmP
F FmOP
283.376 376.832 M (P)S
FmE
2569 0 :M
f250 sf
( )S
2571 0 :M
FrMacBegin
B
0 FmP
F FmOP
289.485 379.332 M (j)S
FmE
2571 0 :M
f148 sf
( )S
2573 0 :M
FrMacBegin
B
0 FmP
F FmOP
291.708 376.832 M ( .)S
42 393.632 M (2.)S
FmE
2574 0 :M
f203 sf
( )S
2576 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 393.632 M (P)S
FmE
2576 0 :M
f250 sf
( )S
2578 0 :M
FrMacBegin
B
0 FmP
F FmOP
66.108 396.132 M (i)S
FmE
2578 0 :M
f148 sf
( )S
2580 0 :M
FrMacBegin
B
0 FmP
F FmOP
68.331 393.632 M ( sets )S
FmE
2581 0 :M
f203 sf
( )S
2583 0 :M
FrMacBegin
B
0 FmP
F FmOP
87.975 393.632 M (V)S
FmE
2583 0 :M
f250 sf
( )S
2585 0 :M
FrMacBegin
B
0 FmP
F FmOP
93.489 396.132 M (i)S
FmE
2585 0 :M
f148 sf
( )S
2587 0 :M
FrMacBegin
B
0 FmP
F FmOP
95.712 393.632 M ([)S
FmE
2588 0 :M
f203 sf
( )S
2590 0 :M
FrMacBegin
B
0 FmP
F FmOP
99.04 393.632 M (j)S
FmE
2590 0 :M
f148 sf
( )S
2592 0 :M
FrMacBegin
B
0 FmP
F FmOP
101.818 393.632 M (] = )S
FmE
2593 0 :M
f203 sf
( )S
2595 0 :M
FrMacBegin
B
0 FmP
F FmOP
115.785 393.632 M (t)S
FmE
2595 0 :M
f250 sf
( )S
2597 0 :M
FrMacBegin
B
0 FmP
F FmOP
118.563 389.632 M (m)S
FmE
2597 0 :M
f148 sf
( )S
2599 0 :M
FrMacBegin
B
0 FmP
F FmOP
124.341 393.632 M (.)S
FmE
2600 0 :M
f319 sf
( )S
2602 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 407.765 M (P)S
FmE
2602 0 :M
f332 sf
( )S
2604 0 :M
FrMacBegin
B
0 FmP
F FmOP
48.108 410.265 M (j)S
FmE
2604 0 :M
f345 sf
( )S
2606 0 :M
FrMacBegin
B
0 FmP
F FmOP
50.331 407.765 M ( r)S
-0.181 N (ecei)S
-0.1 N (v)S
-0.1 N (es a message fr)S
-0.181 N (om )S
FmE
2607 0 :M
f319 sf
( )S
2609 0 :M
FrMacBegin
B
0 FmP
F FmOP
157.206 407.765 M (P)S
FmE
2609 0 :M
f332 sf
( )S
2611 0 :M
FrMacBegin
B
0 FmP
F FmOP
163.314 410.265 M (i)S
FmE
2611 0 :M
f148 sf
( )S
2613 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 421.599 M (1.)S
10.5 N (When )S
FmE
2614 0 :M
f203 sf
( )S
2616 0 :M
FrMacBegin
B
0 FmP
F FmOP
86.377 421.599 M (P)S
FmE
2616 0 :M
f250 sf
( )S
2618 0 :M
FrMacBegin
B
0 FmP
F FmOP
92.485 424.099 M (j)S
FmE
2618 0 :M
f148 sf
( )S
2620 0 :M
FrMacBegin
B
0 FmP
F FmOP
94.708 421.599 M (, )S
FmE
2621 0 :M
f203 sf
( )S
2623 0 :M
FrMacBegin
B
0 FmP
F FmOP
99.708 421.599 M (j)S
FmE
2623 0 :M
f148 sf
( )S
2625 0 :M
FrMacBegin
B
0 FmP
F FmOP
102.486 421.599 M ( )S
FmE
2626 0 :M
f237 sf
( )S
2628 0 :M
FrMacBegin
B
0 FmP
F FmOP
104.986 421.599 M (\271)S
FmE
2628 0 :M
f148 sf
( )S
2630 0 :M
FrMacBegin
B
0 FmP
F FmOP
110.475 421.599 M ( )S
FmE
2631 0 :M
f203 sf
( )S
2633 0 :M
FrMacBegin
B
0 FmP
F FmOP
112.975 421.599 M (i)S
FmE
2633 0 :M
f148 sf
( )S
2635 0 :M
FrMacBegin
B
0 FmP
F FmOP
115.753 421.599 M (, recei)S
-0.251 N (v)S
-0.151 N (es )S
FmE
2636 0 :M
f203 sf
( )S
2638 0 :M
FrMacBegin
B
0 FmP
F FmOP
155.599 421.599 M (m)S
FmE
2638 0 :M
f148 sf
( )S
2640 0 :M
FrMacBegin
B
0 FmP
F FmOP
162.818 421.599 M (, it delays the message\325)S
-0.552 N (s deli)S
-0.251 N (v)S
-0.151 N (ery if )S
FmE
2641 0 :M
f203 sf
( )S
2643 0 :M
FrMacBegin
B
0 FmP
F FmOP
305.138 421.599 M (both)S
FmE
2643 0 :M
f148 sf
( )S
2645 0 :M
FrMacBegin
B
0 FmP
F FmOP
322.916 421.599 M (:)S
60 438.098 M (a.)S
FmE
2646 0 :M
f203 sf
( )S
2648 0 :M
FrMacBegin
B
0 FmP
F FmOP
78 438.098 M (V)S
FmE
2648 0 :M
f250 sf
( )S
2650 0 :M
FrMacBegin
B
0 FmP
F FmOP
84.108 434.098 M (m)S
FmE
2650 0 :M
f148 sf
( )S
2652 0 :M
FrMacBegin
B
0 FmP
F FmOP
89.886 438.098 M ([)S
FmE
2653 0 :M
f203 sf
( )S
2655 0 :M
FrMacBegin
B
0 FmP
F FmOP
93.213 438.098 M (j)S
FmE
2655 0 :M
f148 sf
( )S
2657 0 :M
FrMacBegin
B
0 FmP
F FmOP
95.992 438.098 M (] is set; and)S
60 452.765 M (b)S
-0.4 N (.)S
FmE
2658 0 :M
f203 sf
( )S
2660 0 :M
FrMacBegin
B
0 FmP
F FmOP
78 452.765 M (V)S
FmE
2660 0 :M
f250 sf
( )S
2662 0 :M
FrMacBegin
B
0 FmP
F FmOP
84.108 448.765 M (m)S
FmE
2662 0 :M
f148 sf
( )S
2664 0 :M
FrMacBegin
B
0 FmP
F FmOP
89.886 452.765 M ([)S
FmE
2665 0 :M
f203 sf
( )S
2667 0 :M
FrMacBegin
B
0 FmP
F FmOP
93.213 452.765 M (j)S
FmE
2667 0 :M
f148 sf
( )S
2669 0 :M
FrMacBegin
B
0 FmP
F FmOP
95.992 452.765 M (] < )S
FmE
2670 0 :M
f203 sf
( )S
2672 0 :M
FrMacBegin
B
0 FmP
F FmOP
109.959 452.765 M (t)S
FmE
2672 0 :M
f250 sf
( )S
2674 0 :M
FrMacBegin
B
0 FmP
F FmOP
112.737 448.765 M (j)S
FmE
2674 0 :M
f148 sf
( )S
2676 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 467.731 M (2.)S
10.5 N -0.134(When the message is deli)W
-0.251 N (v)S
-0.151 N -0.134(ered to )W
FmE
2677 0 :M
f203 sf
( )S
2679 0 :M
FrMacBegin
B
0 FmP
F FmOP
195.405 467.731 M (P)S
FmE
2679 0 :M
f250 sf
( )S
2681 0 :M
FrMacBegin
B
0 FmP
F FmOP
201.513 470.231 M (j)S
FmE
2681 0 :M
f148 sf
( )S
2683 0 :M
FrMacBegin
B
0 FmP
F FmOP
203.736 467.731 M -0.134(, update all set elements of )W
FmE
2684 0 :M
f203 sf
( )S
2686 0 :M
FrMacBegin
B
0 FmP
F FmOP
311.704 467.731 M (V)S
FmE
2686 0 :M
f250 sf
( )S
2688 0 :M
FrMacBegin
B
0 FmP
F FmOP
317.812 470.231 M (j)S
FmE
2688 0 :M
f148 sf
( )S
2690 0 :M
FrMacBegin
B
0 FmP
F FmOP
320.035 467.731 M -0.134( with the corresponding elements of )W
FmE
2691 0 :M
f203 sf
( )S
2693 0 :M
FrMacBegin
B
0 FmP
F FmOP
464.939 467.731 M (V)S
FmE
2693 0 :M
f250 sf
( )S
2695 0 :M
FrMacBegin
B
0 FmP
F FmOP
471.047 463.731 M (m)S
FmE
2695 0 :M
f148 sf
( )S
2697 0 :M
FrMacBegin
B
0 FmP
F FmOP
476.825 467.731 M -0.134(, e)W
-0.151 N -0.134(xcept )W
60 481.565 M (for )S
FmE
2698 0 :M
f203 sf
( )S
2700 0 :M
FrMacBegin
B
0 FmP
F FmOP
73.804 481.565 M (Vj)S
FmE
2700 0 :M
f148 sf
( )S
2702 0 :M
FrMacBegin
B
0 FmP
F FmOP
82.69 481.565 M ([)S
FmE
2703 0 :M
f203 sf
( )S
2705 0 :M
FrMacBegin
B
0 FmP
F FmOP
86.018 481.565 M (j)S
FmE
2705 0 :M
f148 sf
( )S
2707 0 :M
FrMacBegin
B
0 FmP
F FmOP
88.796 481.565 M (], as follo)S
-0.251 N (ws:)S
60 493.865 M (a.)S
11.062 N (If )S
FmE
2708 0 :M
f203 sf
( )S
2710 0 :M
FrMacBegin
B
0 FmP
F FmOP
86.804 493.865 M (Vj)S
FmE
2710 0 :M
f148 sf
( )S
2712 0 :M
FrMacBegin
B
0 FmP
F FmOP
95.69 493.865 M ([)S
FmE
2713 0 :M
f203 sf
( )S
2715 0 :M
FrMacBegin
B
0 FmP
F FmOP
99.018 493.865 M (k)S
FmE
2715 0 :M
f148 sf
( )S
2717 0 :M
FrMacBegin
B
0 FmP
F FmOP
103.457 493.865 M (] and )S
FmE
2718 0 :M
f203 sf
( )S
2720 0 :M
FrMacBegin
B
0 FmP
F FmOP
125.871 493.865 M (Vm)S
FmE
2720 0 :M
f148 sf
( )S
2722 0 :M
FrMacBegin
B
0 FmP
F FmOP
139.199 493.865 M ([)S
FmE
2723 0 :M
f203 sf
( )S
2725 0 :M
FrMacBegin
B
0 FmP
F FmOP
142.526 493.865 M (k)S
FmE
2725 0 :M
f148 sf
( )S
2727 0 :M
FrMacBegin
B
0 FmP
F FmOP
146.965 493.865 M (] are uninitialized, do nothing.)S
60 505.865 M (b)S
-0.4 N (.)S
10.9 N (If )S
FmE
2728 0 :M
f203 sf
( )S
2730 0 :M
FrMacBegin
B
0 FmP
F FmOP
86.804 505.865 M (Vj)S
FmE
2730 0 :M
f148 sf
( )S
2732 0 :M
FrMacBegin
B
0 FmP
F FmOP
95.69 505.865 M ([)S
FmE
2733 0 :M
f203 sf
( )S
2735 0 :M
FrMacBegin
B
0 FmP
F FmOP
99.018 505.865 M (k)S
FmE
2735 0 :M
f148 sf
( )S
2737 0 :M
FrMacBegin
B
0 FmP
F FmOP
103.457 505.865 M (] is uninitialized and )S
FmE
2738 0 :M
f203 sf
( )S
2740 0 :M
FrMacBegin
B
0 FmP
F FmOP
187.524 505.865 M (Vm)S
FmE
2740 0 :M
f148 sf
( )S
2742 0 :M
FrMacBegin
B
0 FmP
F FmOP
200.852 505.865 M ([)S
FmE
2743 0 :M
f203 sf
( )S
2745 0 :M
FrMacBegin
B
0 FmP
F FmOP
204.179 505.865 M (k)S
FmE
2745 0 :M
f148 sf
( )S
2747 0 :M
FrMacBegin
B
0 FmP
F FmOP
208.618 505.865 M (] is initialized, set )S
FmE
2748 0 :M
f203 sf
( )S
2750 0 :M
FrMacBegin
B
0 FmP
F FmOP
281.853 505.865 M (Vj)S
FmE
2750 0 :M
f148 sf
( )S
2752 0 :M
FrMacBegin
B
0 FmP
F FmOP
290.739 505.865 M ([)S
FmE
2753 0 :M
f203 sf
( )S
2755 0 :M
FrMacBegin
B
0 FmP
F FmOP
294.067 505.865 M (k)S
FmE
2755 0 :M
f148 sf
( )S
2757 0 :M
FrMacBegin
B
0 FmP
F FmOP
298.505 505.865 M (] = )S
FmE
2758 0 :M
f203 sf
( )S
2760 0 :M
FrMacBegin
B
0 FmP
F FmOP
312.121 505.865 M (Vm)S
FmE
2760 0 :M
f148 sf
( )S
2762 0 :M
FrMacBegin
B
0 FmP
F FmOP
325.449 505.865 M ([)S
FmE
2763 0 :M
f203 sf
( )S
2765 0 :M
FrMacBegin
B
0 FmP
F FmOP
328.776 505.865 M (k)S
FmE
2765 0 :M
f148 sf
( )S
2767 0 :M
FrMacBegin
B
0 FmP
F FmOP
333.215 505.865 M (].)S
60 517.865 M (c.)S
11.062 N (If both )S
FmE
2768 0 :M
f203 sf
( )S
2770 0 :M
FrMacBegin
B
0 FmP
F FmOP
107.082 517.865 M (Vj)S
FmE
2770 0 :M
f148 sf
( )S
2772 0 :M
FrMacBegin
B
0 FmP
F FmOP
115.969 517.865 M ([)S
FmE
2773 0 :M
f203 sf
( )S
2775 0 :M
FrMacBegin
B
0 FmP
F FmOP
119.296 517.865 M (k)S
FmE
2775 0 :M
f148 sf
( )S
2777 0 :M
FrMacBegin
B
0 FmP
F FmOP
123.735 517.865 M (] and )S
FmE
2778 0 :M
f203 sf
( )S
2780 0 :M
FrMacBegin
B
0 FmP
F FmOP
146.149 517.865 M (Vm)S
FmE
2780 0 :M
f148 sf
( )S
2782 0 :M
FrMacBegin
B
0 FmP
F FmOP
159.477 517.865 M ([)S
FmE
2783 0 :M
f203 sf
( )S
2785 0 :M
FrMacBegin
B
0 FmP
F FmOP
162.805 517.865 M (k)S
FmE
2785 0 :M
f148 sf
( )S
2787 0 :M
FrMacBegin
B
0 FmP
F FmOP
167.243 517.865 M (] are initialized, set )S
FmE
2788 0 :M
f203 sf
( )S
2790 0 :M
FrMacBegin
B
0 FmP
F FmOP
246.015 517.865 M (Vj)S
FmE
2790 0 :M
f148 sf
( )S
2792 0 :M
FrMacBegin
B
0 FmP
F FmOP
254.902 517.865 M ([)S
FmE
2793 0 :M
f203 sf
( )S
2795 0 :M
FrMacBegin
B
0 FmP
F FmOP
258.229 517.865 M (k)S
FmE
2795 0 :M
f148 sf
( )S
2797 0 :M
FrMacBegin
B
0 FmP
F FmOP
262.668 517.865 M (][)S
FmE
2798 0 :M
f203 sf
( )S
2800 0 :M
FrMacBegin
B
0 FmP
F FmOP
269.323 517.865 M (k)S
FmE
2800 0 :M
f237 sf
( )S
2802 0 :M
FrMacBegin
B
0 FmP
F FmOP
273.762 517.865 M (\242)S
FmE
2803 0 :M
f148 sf
( )S
2805 0 :M
FrMacBegin
B
0 FmP
F FmOP
276.232 517.865 M (] = max\()S
FmE
2805 0 :M
f203 sf
( )S
2807 0 :M
FrMacBegin
B
0 FmP
F FmOP
310.744 517.865 M (Vj)S
FmE
2808 0 :M
f148 sf
( )S
2810 0 :M
FrMacBegin
B
0 FmP
F FmOP
319.631 517.865 M ([)S
FmE
2810 0 :M
f203 sf
( )S
2812 0 :M
FrMacBegin
B
0 FmP
F FmOP
322.958 517.865 M (k)S
FmE
2813 0 :M
f148 sf
( )S
2815 0 :M
FrMacBegin
B
0 FmP
F FmOP
327.397 517.865 M (][)S
FmE
2815 0 :M
f203 sf
( )S
2817 0 :M
FrMacBegin
B
0 FmP
F FmOP
334.052 517.865 M (k)S
FmE
2818 0 :M
f237 sf
( )S
2820 0 :M
FrMacBegin
B
0 FmP
F FmOP
338.491 517.865 M (\242)S
FmE
2820 0 :M
f148 sf
( )S
2822 0 :M
FrMacBegin
B
0 FmP
F FmOP
340.961 517.865 M (], )S
FmE
2823 0 :M
f203 sf
( )S
2825 0 :M
FrMacBegin
B
0 FmP
F FmOP
348.938 517.865 M (Vm)S
FmE
2825 0 :M
f148 sf
( )S
2827 0 :M
FrMacBegin
B
0 FmP
F FmOP
362.265 517.865 M ([)S
FmE
2828 0 :M
f203 sf
( )S
2830 0 :M
FrMacBegin
B
0 FmP
F FmOP
365.593 517.865 M (k)S
FmE
2830 0 :M
f148 sf
( )S
2832 0 :M
FrMacBegin
B
0 FmP
F FmOP
370.031 517.865 M (][)S
FmE
2833 0 :M
f203 sf
( )S
2835 0 :M
FrMacBegin
B
0 FmP
F FmOP
376.687 517.865 M (k)S
FmE
2835 0 :M
f237 sf
( )S
2837 0 :M
FrMacBegin
B
0 FmP
F FmOP
381.125 517.865 M (\242)S
FmE
2838 0 :M
f148 sf
( )S
2840 0 :M
FrMacBegin
B
0 FmP
F FmOP
383.596 517.865 M (]\) for all )S
FmE
2840 0 :M
f203 sf
( )S
2842 0 :M
FrMacBegin
B
0 FmP
F FmOP
419.401 517.865 M (k)S
FmE
2843 0 :M
f237 sf
( )S
2845 0 :M
FrMacBegin
B
0 FmP
F FmOP
423.84 517.865 M (\242)S
FmE
2845 0 :M
f148 sf
( )S
2847 0 :M
FrMacBegin
B
0 FmP
F FmOP
426.311 517.865 M ( = 1, \311, )S
FmE
2848 0 :M
f203 sf
( )S
2850 0 :M
FrMacBegin
B
0 FmP
F FmOP
461.95 517.865 M (n)S
FmE
2850 0 :M
f148 sf
( )S
2852 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 530.165 M (3.)S
10.5 N (Update )S
FmE
2853 0 :M
f203 sf
( )S
2855 0 :M
FrMacBegin
B
0 FmP
F FmOP
91.375 530.165 M (P)S
FmE
2855 0 :M
f250 sf
( )S
2857 0 :M
FrMacBegin
B
0 FmP
F FmOP
97.483 532.665 M (j)S
FmE
2857 0 :M
f148 sf
( )S
2859 0 :M
FrMacBegin
B
0 FmP
F FmOP
99.706 530.165 M (\325)S
-0.552 N (s v)S
-0.151 N (ector clock.)S
42 544.298 M (4.)S
10.5 N (Check b)S
-0.2 N (uf)S
-0.251 N (fered messages to see if an)S
-0.151 N (y can be deli)S
-0.251 N (v)S
-0.151 N (ered.)S
FmE
endp
showpage
%%PageTrailer
%%Page: 7 7
%%PageProcessColors: Black
%%PageCustomColors: 
%%BeginPageSetup
initializepage
(The Bishops; page: 7 of 10)setjob
%%EndPageSetup
gS 0 0 552 728 rC
2860 0 :M
FrMacBegin
0 FmP
F FmOP
0 FmSP
FmE
42 14 468 14 rC
2860 0 :M
FrMacBegin
42 15 468 12 FmKp
B
0 FmP
F FmOP
42 16 FmB
468 0 FmL
2 1 FmSo
42 19 FmB
468 0 FmL
2 1 FmSo
FmE
gR
gS 0 0 552 728 rC
2860 0 :M
f148 sf
( )S
2862 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 11.667 M (February 17, 2000)S
112.359 N (ECS 251 \320 Winter 2000)S
159.015 N (Page )S
(7)S
157.278 725 M (Last modified at )S
(11:37 pm on Thursday, February 17, 2000)S
FmE
2863 0 :M
f263 sf
( )S
2866 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 49 M (Example)S
FmE
2866 0 :M
f148 sf
( )S
2868 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 184 M (Here is the protocol applied to the abo)S
-0.151 N (v)S
-0.151 N (e situation:)S
FmE
2868 0 :M
f203 sf
( )S
2870 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 198.666 M (e)S
FmE
2871 0 :M
f276 sf
( )S
2873 0 :M
FrMacBegin
B
0 FmP
F FmOP
46.438 201.166 M (31)S
FmE
2873 0 :M
f148 sf
( )S
2875 0 :M
FrMacBegin
B
0 FmP
F FmOP
54.438 198.666 M (: )S
FmE
2875 0 :M
f203 sf
( )S
2877 0 :M
FrMacBegin
B
0 FmP
F FmOP
59.717 198.666 M (P)S
FmE
2878 0 :M
f276 sf
( )S
2880 0 :M
FrMacBegin
B
0 FmP
F FmOP
65.825 201.166 M (3)S
FmE
2880 0 :M
f148 sf
( )S
2882 0 :M
FrMacBegin
B
0 FmP
F FmOP
69.825 198.666 M ( sends message )S
FmE
2882 0 :M
f203 sf
( )S
2884 0 :M
FrMacBegin
B
0 FmP
F FmOP
133.414 198.666 M (a)S
FmE
2885 0 :M
f148 sf
( )S
2887 0 :M
FrMacBegin
B
0 FmP
F FmOP
138.414 198.666 M ( to )S
FmE
2887 0 :M
f203 sf
( )S
2889 0 :M
FrMacBegin
B
0 FmP
F FmOP
151.192 198.666 M (P)S
FmE
2890 0 :M
f276 sf
( )S
2892 0 :M
FrMacBegin
B
0 FmP
F FmOP
157.301 201.166 M (2)S
FmE
2892 0 :M
f148 sf
( )S
2894 0 :M
FrMacBegin
B
0 FmP
F FmOP
161.301 198.666 M ( . )S
FmE
2894 0 :M
f203 sf
( )S
2896 0 :M
FrMacBegin
B
0 FmP
F FmOP
168.801 198.666 M (C)S
FmE
2897 0 :M
f276 sf
( )S
2899 0 :M
FrMacBegin
B
0 FmP
F FmOP
175.471 201.166 M (3)S
FmE
2899 0 :M
f148 sf
( )S
2901 0 :M
FrMacBegin
B
0 FmP
F FmOP
179.471 198.666 M ( = \(0, 0, 1\);  )S
FmE
2901 0 :M
f203 sf
( )S
2903 0 :M
FrMacBegin
B
0 FmP
F FmOP
229.544 198.666 M (t)S
FmE
2904 0 :M
f250 sf
( )S
2906 0 :M
FrMacBegin
B
0 FmP
F FmOP
232.322 194.667 M (a)S
FmE
2906 0 :M
f148 sf
( )S
2908 0 :M
FrMacBegin
B
0 FmP
F FmOP
236.322 198.666 M ( = \(0, 0, 1\), )S
FmE
2908 0 :M
f203 sf
( )S
2910 0 :M
FrMacBegin
B
0 FmP
F FmOP
283.266 198.666 M (V)S
FmE
2911 0 :M
f250 sf
( )S
2913 0 :M
FrMacBegin
B
0 FmP
F FmOP
288.485 194.667 M (a)S
FmE
2913 0 :M
f148 sf
( )S
2915 0 :M
FrMacBegin
B
0 FmP
F FmOP
292.485 198.666 M ( = \(?, ?, ?\); )S
FmE
2915 0 :M
f203 sf
( )S
2917 0 :M
FrMacBegin
B
0 FmP
F FmOP
338.022 198.666 M (V)S
FmE
2918 0 :M
f276 sf
( )S
2920 0 :M
FrMacBegin
B
0 FmP
F FmOP
344.131 201.166 M (3)S
FmE
2920 0 :M
f148 sf
( )S
2922 0 :M
FrMacBegin
B
0 FmP
F FmOP
348.131 198.666 M ( = \(?, \(0, 0, 1\), ?\))S
FmE
2922 0 :M
f203 sf
( )S
2924 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 215.166 M (e)S
FmE
2925 0 :M
f276 sf
( )S
2927 0 :M
FrMacBegin
B
0 FmP
F FmOP
46.438 217.666 M (21)S
FmE
2927 0 :M
f148 sf
( )S
2929 0 :M
FrMacBegin
B
0 FmP
F FmOP
54.438 215.166 M (: )S
FmE
2929 0 :M
f203 sf
( )S
2931 0 :M
FrMacBegin
B
0 FmP
F FmOP
59.717 215.166 M (P)S
FmE
2932 0 :M
f276 sf
( )S
2934 0 :M
FrMacBegin
B
0 FmP
F FmOP
65.825 217.666 M (2)S
FmE
2934 0 :M
f148 sf
( )S
2936 0 :M
FrMacBegin
B
0 FmP
F FmOP
69.825 215.166 M ( recei)S
-0.251 N (v)S
-0.151 N (es message )S
FmE
2936 0 :M
f203 sf
( )S
2938 0 :M
FrMacBegin
B
0 FmP
F FmOP
143.543 215.166 M (a)S
FmE
2939 0 :M
f148 sf
( )S
2941 0 :M
FrMacBegin
B
0 FmP
F FmOP
148.543 215.166 M ( from )S
FmE
2941 0 :M
f203 sf
( )S
2943 0 :M
FrMacBegin
B
0 FmP
F FmOP
172.977 215.166 M (P)S
FmE
2944 0 :M
f276 sf
( )S
2946 0 :M
FrMacBegin
B
0 FmP
F FmOP
179.085 217.666 M (1)S
FmE
2946 0 :M
f148 sf
( )S
2948 0 :M
FrMacBegin
B
0 FmP
F FmOP
183.085 215.166 M (. )S
-0.552 N (As )S
FmE
2948 0 :M
f203 sf
( )S
2950 0 :M
FrMacBegin
B
0 FmP
F FmOP
200.791 215.166 M (V)S
FmE
2951 0 :M
f250 sf
( )S
2953 0 :M
FrMacBegin
B
0 FmP
F FmOP
206.01 211.166 M (a)S
FmE
2953 0 :M
f148 sf
( )S
2955 0 :M
FrMacBegin
B
0 FmP
F FmOP
210.01 215.166 M ([2] is uninitialized, the message is accepted. )S
FmE
2955 0 :M
f203 sf
( )S
2957 0 :M
FrMacBegin
B
0 FmP
F FmOP
388.194 215.166 M (V)S
FmE
2958 0 :M
f276 sf
( )S
2960 0 :M
FrMacBegin
B
0 FmP
F FmOP
394.302 217.666 M (2)S
FmE
2960 0 :M
f148 sf
( )S
2962 0 :M
FrMacBegin
B
0 FmP
F FmOP
398.302 215.166 M ( is set to \(?, ?, ?\) and )S
FmE
2962 0 :M
f203 sf
( )S
2964 0 :M
FrMacBegin
B
0 FmP
F FmOP
483.263 215.166 M (C)S
FmE
2965 0 :M
f276 sf
( )S
2967 0 :M
FrMacBegin
B
0 FmP
F FmOP
489.933 217.666 M (2)S
FmE
2967 0 :M
f148 sf
( )S
2969 0 :M
FrMacBegin
B
0 FmP
F FmOP
493.933 215.166 M ( is )S
42 229 M (set to \(0, 0, 1\).)S
FmE
2969 0 :M
f203 sf
( )S
2971 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 243.666 M (e)S
FmE
2972 0 :M
f276 sf
( )S
2974 0 :M
FrMacBegin
B
0 FmP
F FmOP
46.438 246.166 M (22)S
FmE
2974 0 :M
f148 sf
( )S
2976 0 :M
FrMacBegin
B
0 FmP
F FmOP
54.438 243.666 M (: )S
FmE
2976 0 :M
f203 sf
( )S
2978 0 :M
FrMacBegin
B
0 FmP
F FmOP
59.717 243.666 M (P)S
FmE
2979 0 :M
f276 sf
( )S
2981 0 :M
FrMacBegin
B
0 FmP
F FmOP
65.825 246.166 M (2)S
FmE
2981 0 :M
f148 sf
( )S
2983 0 :M
FrMacBegin
B
0 FmP
F FmOP
69.825 243.666 M ( sends message )S
FmE
2983 0 :M
f203 sf
( )S
2985 0 :M
FrMacBegin
B
0 FmP
F FmOP
133.414 243.666 M (b)S
FmE
2986 0 :M
f148 sf
( )S
2988 0 :M
FrMacBegin
B
0 FmP
F FmOP
138.414 243.666 M ( to )S
FmE
2988 0 :M
f203 sf
( )S
2990 0 :M
FrMacBegin
B
0 FmP
F FmOP
151.192 243.666 M (P)S
FmE
2991 0 :M
f276 sf
( )S
2993 0 :M
FrMacBegin
B
0 FmP
F FmOP
157.301 246.166 M (1)S
FmE
2993 0 :M
f148 sf
( )S
2995 0 :M
FrMacBegin
B
0 FmP
F FmOP
161.301 243.666 M (. )S
FmE
2995 0 :M
f203 sf
( )S
2997 0 :M
FrMacBegin
B
0 FmP
F FmOP
166.301 243.666 M (C)S
FmE
2998 0 :M
f276 sf
( )S
3000 0 :M
FrMacBegin
B
0 FmP
F FmOP
172.971 246.166 M (2)S
FmE
3000 0 :M
f148 sf
( )S
3002 0 :M
FrMacBegin
B
0 FmP
F FmOP
176.971 243.666 M ( = \(0, 1, 1\); )S
FmE
3002 0 :M
f203 sf
( )S
3004 0 :M
FrMacBegin
B
0 FmP
F FmOP
224.544 243.666 M (t)S
FmE
3005 0 :M
f250 sf
( )S
3007 0 :M
FrMacBegin
B
0 FmP
F FmOP
227.322 239.666 M (b)S
FmE
3007 0 :M
f148 sf
( )S
3009 0 :M
FrMacBegin
B
0 FmP
F FmOP
231.322 243.666 M ( = \(0, 1, 1\), )S
FmE
3009 0 :M
f203 sf
( )S
3011 0 :M
FrMacBegin
B
0 FmP
F FmOP
278.266 243.666 M (V)S
FmE
3012 0 :M
f250 sf
( )S
3014 0 :M
FrMacBegin
B
0 FmP
F FmOP
284.374 239.666 M (b)S
FmE
3014 0 :M
f148 sf
( )S
3016 0 :M
FrMacBegin
B
0 FmP
F FmOP
288.374 243.666 M ( = \(?, ?, ?\); )S
FmE
3016 0 :M
f203 sf
( )S
3018 0 :M
FrMacBegin
B
0 FmP
F FmOP
333.911 243.666 M (V)S
FmE
3019 0 :M
f276 sf
( )S
3021 0 :M
FrMacBegin
B
0 FmP
F FmOP
340.02 246.166 M (2)S
FmE
3021 0 :M
f148 sf
( )S
3023 0 :M
FrMacBegin
B
0 FmP
F FmOP
344.02 243.666 M ( = \(\(0, 1, 1\), ?, ?\))S
FmE
3023 0 :M
f203 sf
( )S
3025 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 260.166 M (e)S
FmE
3026 0 :M
f276 sf
( )S
3028 0 :M
FrMacBegin
B
0 FmP
F FmOP
46.438 262.666 M (11)S
FmE
3028 0 :M
f148 sf
( )S
3030 0 :M
FrMacBegin
B
0 FmP
F FmOP
54.438 260.166 M (: )S
FmE
3030 0 :M
f203 sf
( )S
3032 0 :M
FrMacBegin
B
0 FmP
F FmOP
59.717 260.166 M (P)S
FmE
3033 0 :M
f276 sf
( )S
3035 0 :M
FrMacBegin
B
0 FmP
F FmOP
65.825 262.666 M (1)S
FmE
3035 0 :M
f148 sf
( )S
3037 0 :M
FrMacBegin
B
0 FmP
F FmOP
69.825 260.166 M ( sends message )S
FmE
3037 0 :M
f203 sf
( )S
3039 0 :M
FrMacBegin
B
0 FmP
F FmOP
133.414 260.166 M (c)S
FmE
3040 0 :M
f148 sf
( )S
3042 0 :M
FrMacBegin
B
0 FmP
F FmOP
137.853 260.166 M ( to )S
FmE
3042 0 :M
f203 sf
( )S
3044 0 :M
FrMacBegin
B
0 FmP
F FmOP
150.631 260.166 M (P)S
FmE
3045 0 :M
f276 sf
( )S
3047 0 :M
FrMacBegin
B
0 FmP
F FmOP
156.739 262.666 M (3)S
FmE
3047 0 :M
f148 sf
( )S
3049 0 :M
FrMacBegin
B
0 FmP
F FmOP
160.739 260.166 M (. )S
FmE
3049 0 :M
f203 sf
( )S
3051 0 :M
FrMacBegin
B
0 FmP
F FmOP
165.739 260.166 M (C)S
FmE
3052 0 :M
f276 sf
( )S
3054 0 :M
FrMacBegin
B
0 FmP
F FmOP
172.409 262.666 M (1)S
FmE
3054 0 :M
f148 sf
( )S
3056 0 :M
FrMacBegin
B
0 FmP
F FmOP
176.409 260.166 M ( = \(1, 0, 0\); )S
FmE
3056 0 :M
f203 sf
( )S
3058 0 :M
FrMacBegin
B
0 FmP
F FmOP
223.982 260.166 M (t)S
FmE
3059 0 :M
f250 sf
( )S
3061 0 :M
FrMacBegin
B
0 FmP
F FmOP
226.761 256.166 M (c)S
FmE
3061 0 :M
f148 sf
( )S
3063 0 :M
FrMacBegin
B
0 FmP
F FmOP
230.312 260.166 M ( = \(1, 0, 0\), )S
FmE
3063 0 :M
f203 sf
( )S
3065 0 :M
FrMacBegin
B
0 FmP
F FmOP
277.255 260.166 M (V)S
FmE
3066 0 :M
f250 sf
( )S
3068 0 :M
FrMacBegin
B
0 FmP
F FmOP
283.363 256.166 M (c)S
FmE
3068 0 :M
f148 sf
( )S
3070 0 :M
FrMacBegin
B
0 FmP
F FmOP
286.914 260.166 M ( = \(?, ?, ?\); )S
FmE
3070 0 :M
f203 sf
( )S
3072 0 :M
FrMacBegin
B
0 FmP
F FmOP
332.451 260.166 M (V)S
FmE
3073 0 :M
f276 sf
( )S
3075 0 :M
FrMacBegin
B
0 FmP
F FmOP
338.56 262.666 M (1)S
FmE
3075 0 :M
f148 sf
( )S
3077 0 :M
FrMacBegin
B
0 FmP
F FmOP
342.56 260.166 M ( = \(?, ?, \(1, 0, 0\)\), )S
FmE
3077 0 :M
f203 sf
( )S
3079 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 276.666 M (e)S
FmE
3080 0 :M
f276 sf
( )S
3082 0 :M
FrMacBegin
B
0 FmP
F FmOP
46.438 279.166 M (12)S
FmE
3082 0 :M
f148 sf
( )S
3084 0 :M
FrMacBegin
B
0 FmP
F FmOP
54.438 276.666 M (: )S
FmE
3084 0 :M
f203 sf
( )S
3086 0 :M
FrMacBegin
B
0 FmP
F FmOP
59.717 276.666 M (P)S
FmE
3087 0 :M
f276 sf
( )S
3089 0 :M
FrMacBegin
B
0 FmP
F FmOP
65.825 279.166 M (1)S
FmE
3089 0 :M
f148 sf
( )S
3091 0 :M
FrMacBegin
B
0 FmP
F FmOP
69.825 276.666 M ( recei)S
-0.251 N (v)S
-0.151 N (es message )S
FmE
3091 0 :M
f203 sf
( )S
3093 0 :M
FrMacBegin
B
0 FmP
F FmOP
143.543 276.666 M (b)S
FmE
3094 0 :M
f148 sf
( )S
3096 0 :M
FrMacBegin
B
0 FmP
F FmOP
148.543 276.666 M ( from )S
FmE
3096 0 :M
f203 sf
( )S
3098 0 :M
FrMacBegin
B
0 FmP
F FmOP
172.977 276.666 M (P)S
FmE
3099 0 :M
f276 sf
( )S
3101 0 :M
FrMacBegin
B
0 FmP
F FmOP
179.085 279.166 M (2)S
FmE
3101 0 :M
f148 sf
( )S
3103 0 :M
FrMacBegin
B
0 FmP
F FmOP
183.085 276.666 M (. )S
-0.552 N (As )S
FmE
3103 0 :M
f203 sf
( )S
3105 0 :M
FrMacBegin
B
0 FmP
F FmOP
200.791 276.666 M (V)S
FmE
3106 0 :M
f250 sf
( )S
3108 0 :M
FrMacBegin
B
0 FmP
F FmOP
206.899 272.666 M (b)S
FmE
3108 0 :M
f148 sf
( )S
3110 0 :M
FrMacBegin
B
0 FmP
F FmOP
210.899 276.666 M ([1] is uninitialized, the message is accepted. )S
FmE
3110 0 :M
f203 sf
( )S
3112 0 :M
FrMacBegin
B
0 FmP
F FmOP
389.083 276.666 M (V)S
FmE
3113 0 :M
f276 sf
( )S
3115 0 :M
FrMacBegin
B
0 FmP
F FmOP
395.191 279.166 M (1)S
FmE
3115 0 :M
f148 sf
( )S
3117 0 :M
FrMacBegin
B
0 FmP
F FmOP
399.191 276.666 M ( is set to \(?, ?, ?\) and )S
FmE
3117 0 :M
f203 sf
( )S
3119 0 :M
FrMacBegin
B
0 FmP
F FmOP
484.152 276.666 M (C)S
FmE
3120 0 :M
f276 sf
( )S
3122 0 :M
FrMacBegin
B
0 FmP
F FmOP
490.822 279.166 M (1)S
FmE
3122 0 :M
f148 sf
( )S
3124 0 :M
FrMacBegin
B
0 FmP
F FmOP
494.822 276.666 M ( is )S
42 290.499 M (set to \(1, 1, 1\).)S
FmE
3124 0 :M
f203 sf
( )S
3126 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 305.166 M (e)S
FmE
3127 0 :M
f276 sf
( )S
3129 0 :M
FrMacBegin
B
0 FmP
F FmOP
46.438 307.666 M (32)S
FmE
3129 0 :M
f148 sf
( )S
3131 0 :M
FrMacBegin
B
0 FmP
F FmOP
54.438 305.166 M (: )S
FmE
3131 0 :M
f203 sf
( )S
3133 0 :M
FrMacBegin
B
0 FmP
F FmOP
59.717 305.166 M (P)S
FmE
3134 0 :M
f276 sf
( )S
3136 0 :M
FrMacBegin
B
0 FmP
F FmOP
65.825 307.666 M (3)S
FmE
3136 0 :M
f148 sf
( )S
3138 0 :M
FrMacBegin
B
0 FmP
F FmOP
69.825 305.166 M ( recei)S
-0.251 N (v)S
-0.151 N (es message )S
FmE
3138 0 :M
f203 sf
( )S
3140 0 :M
FrMacBegin
B
0 FmP
F FmOP
143.543 305.166 M (c)S
FmE
3141 0 :M
f148 sf
( )S
3143 0 :M
FrMacBegin
B
0 FmP
F FmOP
147.982 305.166 M ( from )S
FmE
3143 0 :M
f203 sf
( )S
3145 0 :M
FrMacBegin
B
0 FmP
F FmOP
172.416 305.166 M (P)S
FmE
3146 0 :M
f276 sf
( )S
3148 0 :M
FrMacBegin
B
0 FmP
F FmOP
178.524 307.666 M (1)S
FmE
3148 0 :M
f148 sf
( )S
3150 0 :M
FrMacBegin
B
0 FmP
F FmOP
182.524 305.166 M (. )S
-0.552 N (As )S
FmE
3150 0 :M
f203 sf
( )S
3152 0 :M
FrMacBegin
B
0 FmP
F FmOP
200.229 305.166 M (V)S
FmE
3153 0 :M
f250 sf
( )S
3155 0 :M
FrMacBegin
B
0 FmP
F FmOP
206.337 301.166 M (c)S
FmE
3155 0 :M
f148 sf
( )S
3157 0 :M
FrMacBegin
B
0 FmP
F FmOP
209.888 305.166 M ([3] is uninitialized, the message is accepted. )S
FmE
3157 0 :M
f203 sf
( )S
3159 0 :M
FrMacBegin
B
0 FmP
F FmOP
388.072 305.166 M (V)S
FmE
3160 0 :M
f276 sf
( )S
3162 0 :M
FrMacBegin
B
0 FmP
F FmOP
394.18 307.666 M (3)S
FmE
3162 0 :M
f148 sf
( )S
3164 0 :M
FrMacBegin
B
0 FmP
F FmOP
398.18 305.166 M ( is set to \(?, ?, ?\) and )S
FmE
3164 0 :M
f203 sf
( )S
3166 0 :M
FrMacBegin
B
0 FmP
F FmOP
483.141 305.166 M (C)S
FmE
3167 0 :M
f276 sf
( )S
3169 0 :M
FrMacBegin
B
0 FmP
F FmOP
489.811 307.666 M (3)S
FmE
3169 0 :M
f148 sf
( )S
3171 0 :M
FrMacBegin
B
0 FmP
F FmOP
493.811 305.166 M ( is )S
42 318.999 M (set to \(1, 0, 1\).)S
FmE
3171 0 :M
f203 sf
( )S
3173 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 333.665 M (e)S
FmE
3174 0 :M
f276 sf
( )S
3176 0 :M
FrMacBegin
B
0 FmP
F FmOP
46.438 336.165 M (23)S
FmE
3176 0 :M
f148 sf
( )S
3178 0 :M
FrMacBegin
B
0 FmP
F FmOP
54.438 333.665 M (: )S
FmE
3178 0 :M
f203 sf
( )S
3180 0 :M
FrMacBegin
B
0 FmP
F FmOP
59.717 333.665 M (P)S
FmE
3181 0 :M
f276 sf
( )S
3183 0 :M
FrMacBegin
B
0 FmP
F FmOP
65.825 336.165 M (2)S
FmE
3183 0 :M
f148 sf
( )S
3185 0 :M
FrMacBegin
B
0 FmP
F FmOP
69.825 333.665 M ( sends message )S
FmE
3185 0 :M
f203 sf
( )S
3187 0 :M
FrMacBegin
B
0 FmP
F FmOP
133.414 333.665 M (d)S
FmE
3188 0 :M
f148 sf
( )S
3190 0 :M
FrMacBegin
B
0 FmP
F FmOP
138.414 333.665 M ( to )S
FmE
3190 0 :M
f203 sf
( )S
3192 0 :M
FrMacBegin
B
0 FmP
F FmOP
151.192 333.665 M (P)S
FmE
3193 0 :M
f276 sf
( )S
3195 0 :M
FrMacBegin
B
0 FmP
F FmOP
157.301 336.165 M (1)S
FmE
3195 0 :M
f148 sf
( )S
3197 0 :M
FrMacBegin
B
0 FmP
F FmOP
161.301 333.665 M (. )S
FmE
3197 0 :M
f203 sf
( )S
3199 0 :M
FrMacBegin
B
0 FmP
F FmOP
166.301 333.665 M (C)S
FmE
3200 0 :M
f276 sf
( )S
3202 0 :M
FrMacBegin
B
0 FmP
F FmOP
172.971 336.165 M (2)S
FmE
3202 0 :M
f148 sf
( )S
3204 0 :M
FrMacBegin
B
0 FmP
F FmOP
176.971 333.665 M ( = \(0, 2, 1\); )S
FmE
3204 0 :M
f203 sf
( )S
3206 0 :M
FrMacBegin
B
0 FmP
F FmOP
224.544 333.665 M (t)S
FmE
3207 0 :M
f250 sf
( )S
3209 0 :M
FrMacBegin
B
0 FmP
F FmOP
227.322 329.665 M (d)S
FmE
3209 0 :M
f148 sf
( )S
3211 0 :M
FrMacBegin
B
0 FmP
F FmOP
231.322 333.665 M ( = \(0, 2, 1\), )S
FmE
3211 0 :M
f203 sf
( )S
3213 0 :M
FrMacBegin
B
0 FmP
F FmOP
278.266 333.665 M (V)S
FmE
3214 0 :M
f250 sf
( )S
3216 0 :M
FrMacBegin
B
0 FmP
F FmOP
284.374 329.665 M (d)S
FmE
3216 0 :M
f148 sf
( )S
3218 0 :M
FrMacBegin
B
0 FmP
F FmOP
288.374 333.665 M ( = \(\(0, 1, 1\), ?, ?\); )S
FmE
3218 0 :M
f203 sf
( )S
3220 0 :M
FrMacBegin
B
0 FmP
F FmOP
361.128 333.665 M (V)S
FmE
3221 0 :M
f276 sf
( )S
3223 0 :M
FrMacBegin
B
0 FmP
F FmOP
367.236 336.165 M (2)S
FmE
3223 0 :M
f148 sf
( )S
3225 0 :M
FrMacBegin
B
0 FmP
F FmOP
371.236 333.665 M ( = \(\(0, 2, 1\), ?, \(0, 0, 1\)\), )S
FmE
3225 0 :M
f203 sf
( )S
3227 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 350.165 M (e)S
FmE
3228 0 :M
f276 sf
( )S
3230 0 :M
FrMacBegin
B
0 FmP
F FmOP
46.438 352.665 M (13)S
FmE
3230 0 :M
f148 sf
( )S
3232 0 :M
FrMacBegin
B
0 FmP
F FmOP
54.438 350.165 M -0.202(: )W
FmE
3232 0 :M
f203 sf
( )S
3234 0 :M
FrMacBegin
B
0 FmP
F FmOP
59.514 350.165 M (P)S
FmE
3235 0 :M
f276 sf
( )S
3237 0 :M
FrMacBegin
B
0 FmP
F FmOP
65.623 352.665 M (1)S
FmE
3237 0 :M
f148 sf
( )S
3239 0 :M
FrMacBegin
B
0 FmP
F FmOP
69.623 350.165 M -0.202( recei)W
-0.251 N (v)S
-0.151 N -0.202(es message )W
FmE
3239 0 :M
f203 sf
( )S
3241 0 :M
FrMacBegin
B
0 FmP
F FmOP
142.734 350.165 M (d)S
FmE
3242 0 :M
f148 sf
( )S
3244 0 :M
FrMacBegin
B
0 FmP
F FmOP
147.734 350.165 M -0.202( from )W
FmE
3244 0 :M
f203 sf
( )S
3246 0 :M
FrMacBegin
B
0 FmP
F FmOP
171.762 350.165 M (P)S
FmE
3247 0 :M
f276 sf
( )S
3249 0 :M
FrMacBegin
B
0 FmP
F FmOP
177.871 352.665 M (2)S
FmE
3249 0 :M
f148 sf
( )S
3251 0 :M
FrMacBegin
B
0 FmP
F FmOP
181.871 350.165 M -0.202(. )W
FmE
3251 0 :M
f203 sf
( )S
3253 0 :M
FrMacBegin
B
0 FmP
F FmOP
186.488 350.165 M (As)S
FmE
3254 0 :M
f148 sf
( )S
3256 0 :M
FrMacBegin
B
0 FmP
F FmOP
196.485 350.165 M -0.202( )W
FmE
3256 0 :M
f203 sf
( )S
3258 0 :M
FrMacBegin
B
0 FmP
F FmOP
198.431 350.165 M (V)S
FmE
3259 0 :M
f250 sf
( )S
3261 0 :M
FrMacBegin
B
0 FmP
F FmOP
204.54 346.165 M (d)S
FmE
3261 0 :M
f148 sf
( )S
3263 0 :M
FrMacBegin
B
0 FmP
F FmOP
208.54 350.165 M -0.202([1] < )W
FmE
3263 0 :M
f203 sf
( )S
3265 0 :M
FrMacBegin
B
0 FmP
F FmOP
230.43 350.165 M (C)S
FmE
3266 0 :M
f276 sf
( )S
3268 0 :M
FrMacBegin
B
0 FmP
F FmOP
237.099 352.665 M (1)S
FmE
3268 0 :M
f148 sf
( )S
3270 0 :M
FrMacBegin
B
0 FmP
F FmOP
241.099 350.165 M -0.202([1], so the message is accepted. )W
FmE
3270 0 :M
f203 sf
( )S
3272 0 :M
FrMacBegin
B
0 FmP
F FmOP
367.805 350.165 M (V)S
FmE
3273 0 :M
f276 sf
( )S
3275 0 :M
FrMacBegin
B
0 FmP
F FmOP
373.913 352.665 M (1)S
FmE
3275 0 :M
f148 sf
( )S
3277 0 :M
FrMacBegin
B
0 FmP
F FmOP
377.913 350.165 M -0.202( is set to \(\(0, 1, 1\), ?, ?\) and )W
FmE
3277 0 :M
f203 sf
( )S
3279 0 :M
FrMacBegin
B
0 FmP
F FmOP
488.066 350.165 M (C)S
FmE
3280 0 :M
f276 sf
( )S
3282 0 :M
FrMacBegin
B
0 FmP
F FmOP
494.736 352.665 M (1)S
FmE
3282 0 :M
f148 sf
( )S
3284 0 :M
FrMacBegin
B
0 FmP
F FmOP
498.736 350.165 M -0.202( is )W
42 363.998 M (set to \(1, 2, 1\).)S
42 378.665 M (No)S
-0.251 N (w)S
-0.652 N (, suppose )S
FmE
3284 0 :M
f203 sf
( )S
3286 0 :M
FrMacBegin
B
0 FmP
F FmOP
100.252 378.665 M (t)S
FmE
3287 0 :M
f250 sf
( )S
3289 0 :M
FrMacBegin
B
0 FmP
F FmOP
103.03 374.665 M (b)S
FmE
3289 0 :M
f148 sf
( )S
3291 0 :M
FrMacBegin
B
0 FmP
F FmOP
107.03 378.665 M ( arri)S
-0.251 N (v)S
-0.151 N (ed as e)S
-0.251 N (v)S
-0.151 N (ent )S
FmE
3291 0 :M
f203 sf
( )S
3293 0 :M
FrMacBegin
B
0 FmP
F FmOP
174.518 378.665 M (e)S
FmE
3294 0 :M
f276 sf
( )S
3296 0 :M
FrMacBegin
B
0 FmP
F FmOP
178.957 381.165 M (13)S
FmE
3296 0 :M
f148 sf
( )S
3298 0 :M
FrMacBegin
B
0 FmP
F FmOP
186.957 378.665 M (, and )S
FmE
3298 0 :M
f203 sf
( )S
3300 0 :M
FrMacBegin
B
0 FmP
F FmOP
208.895 378.665 M (t)S
FmE
3301 0 :M
f250 sf
( )S
3303 0 :M
FrMacBegin
B
0 FmP
F FmOP
211.673 374.665 M (d)S
FmE
3303 0 :M
f148 sf
( )S
3305 0 :M
FrMacBegin
B
0 FmP
F FmOP
215.673 378.665 M ( as e)S
-0.251 N (v)S
-0.151 N (ent )S
FmE
3305 0 :M
f203 sf
( )S
3307 0 :M
FrMacBegin
B
0 FmP
F FmOP
252.753 378.665 M (e)S
FmE
3308 0 :M
f276 sf
( )S
3310 0 :M
FrMacBegin
B
0 FmP
F FmOP
257.192 381.165 M (12)S
FmE
3310 0 :M
f148 sf
( )S
3312 0 :M
FrMacBegin
B
0 FmP
F FmOP
265.192 378.665 M (. )S
-0.181 N (Then the progression in )S
FmE
3312 0 :M
f203 sf
( )S
3314 0 :M
FrMacBegin
B
0 FmP
F FmOP
367.204 378.665 M (P)S
FmE
3315 0 :M
f276 sf
( )S
3317 0 :M
FrMacBegin
B
0 FmP
F FmOP
373.312 381.165 M (1)S
FmE
3317 0 :M
f148 sf
( )S
3319 0 :M
FrMacBegin
B
0 FmP
F FmOP
377.312 378.665 M ( goes lik)S
-0.1 N (e this:)S
FmE
3319 0 :M
f203 sf
( )S
3321 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 395.165 M (e)S
FmE
3322 0 :M
f276 sf
( )S
3324 0 :M
FrMacBegin
B
0 FmP
F FmOP
46.438 397.665 M (12)S
FmE
3324 0 :M
f148 sf
( )S
3326 0 :M
FrMacBegin
B
0 FmP
F FmOP
54.438 395.165 M (: )S
FmE
3326 0 :M
f203 sf
( )S
3328 0 :M
FrMacBegin
B
0 FmP
F FmOP
59.717 395.165 M (P)S
FmE
3329 0 :M
f276 sf
( )S
3331 0 :M
FrMacBegin
B
0 FmP
F FmOP
65.825 397.665 M (1)S
FmE
3331 0 :M
f148 sf
( )S
3333 0 :M
FrMacBegin
B
0 FmP
F FmOP
69.825 395.165 M ( recei)S
-0.251 N (v)S
-0.151 N (es message )S
FmE
3333 0 :M
f203 sf
( )S
3335 0 :M
FrMacBegin
B
0 FmP
F FmOP
143.543 395.165 M (d)S
FmE
3336 0 :M
f148 sf
( )S
3338 0 :M
FrMacBegin
B
0 FmP
F FmOP
148.543 395.165 M ( from )S
FmE
3338 0 :M
f203 sf
( )S
3340 0 :M
FrMacBegin
B
0 FmP
F FmOP
172.977 395.165 M (P)S
FmE
3341 0 :M
f276 sf
( )S
3343 0 :M
FrMacBegin
B
0 FmP
F FmOP
179.085 397.665 M (2)S
FmE
3343 0 :M
f148 sf
( )S
3345 0 :M
FrMacBegin
B
0 FmP
F FmOP
183.085 395.165 M (. But )S
FmE
3345 0 :M
f203 sf
( )S
3347 0 :M
FrMacBegin
B
0 FmP
F FmOP
204.682 395.165 M (V)S
FmE
3348 0 :M
f250 sf
( )S
3350 0 :M
FrMacBegin
B
0 FmP
F FmOP
210.791 391.165 M (d)S
FmE
3350 0 :M
f148 sf
( )S
3352 0 :M
FrMacBegin
B
0 FmP
F FmOP
214.791 395.165 M ([1] = \(0, 1, 1\) <)S
-3.333 N (/)S
3.333 N (\(1, 0, 0\) = )S
FmE
3352 0 :M
f203 sf
( )S
3354 0 :M
FrMacBegin
B
0 FmP
F FmOP
321.954 395.165 M (C)S
FmE
3355 0 :M
f276 sf
( )S
3357 0 :M
FrMacBegin
B
0 FmP
F FmOP
328.624 397.665 M (1)S
FmE
3357 0 :M
f148 sf
( )S
3359 0 :M
FrMacBegin
B
0 FmP
F FmOP
332.624 395.165 M (, so the message is queued for later deli)S
-0.251 N (v)S
-0.151 N (ery)S
-0.652 N (.)S
FmE
3359 0 :M
f203 sf
( )S
3361 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 411.665 M (e)S
FmE
3362 0 :M
f276 sf
( )S
3364 0 :M
FrMacBegin
B
0 FmP
F FmOP
46.438 414.165 M (13)S
FmE
3364 0 :M
f148 sf
( )S
3366 0 :M
FrMacBegin
B
0 FmP
F FmOP
54.438 411.665 M (: )S
FmE
3366 0 :M
f203 sf
( )S
3368 0 :M
FrMacBegin
B
0 FmP
F FmOP
59.717 411.665 M (P)S
FmE
3369 0 :M
f276 sf
( )S
3371 0 :M
FrMacBegin
B
0 FmP
F FmOP
65.825 414.165 M (1)S
FmE
3371 0 :M
f148 sf
( )S
3373 0 :M
FrMacBegin
B
0 FmP
F FmOP
69.825 411.665 M ( recei)S
-0.251 N (v)S
-0.151 N (es message )S
FmE
3373 0 :M
f203 sf
( )S
3375 0 :M
FrMacBegin
B
0 FmP
F FmOP
143.543 411.665 M (b)S
FmE
3376 0 :M
f148 sf
( )S
3378 0 :M
FrMacBegin
B
0 FmP
F FmOP
148.543 411.665 M ( from )S
FmE
3378 0 :M
f203 sf
( )S
3380 0 :M
FrMacBegin
B
0 FmP
F FmOP
172.977 411.665 M (P)S
FmE
3381 0 :M
f276 sf
( )S
3383 0 :M
FrMacBegin
B
0 FmP
F FmOP
179.085 414.165 M (2)S
FmE
3383 0 :M
f148 sf
( )S
3385 0 :M
FrMacBegin
B
0 FmP
F FmOP
183.085 411.665 M (. )S
-0.552 N (As )S
FmE
3385 0 :M
f203 sf
( )S
3387 0 :M
FrMacBegin
B
0 FmP
F FmOP
200.791 411.665 M (V)S
FmE
3388 0 :M
f250 sf
( )S
3390 0 :M
FrMacBegin
B
0 FmP
F FmOP
206.899 407.665 M (b)S
FmE
3390 0 :M
f148 sf
( )S
3392 0 :M
FrMacBegin
B
0 FmP
F FmOP
210.899 411.665 M ([1] is uninitialized, the message is accepted. )S
FmE
3392 0 :M
f203 sf
( )S
3394 0 :M
FrMacBegin
B
0 FmP
F FmOP
389.083 411.665 M (V)S
FmE
3395 0 :M
f276 sf
( )S
3397 0 :M
FrMacBegin
B
0 FmP
F FmOP
395.191 414.165 M (1)S
FmE
3397 0 :M
f148 sf
( )S
3399 0 :M
FrMacBegin
B
0 FmP
F FmOP
399.191 411.665 M ( is set to \(?, ?, ?\) and )S
FmE
3399 0 :M
f203 sf
( )S
3401 0 :M
FrMacBegin
B
0 FmP
F FmOP
484.152 411.665 M (C)S
FmE
3402 0 :M
f276 sf
( )S
3404 0 :M
FrMacBegin
B
0 FmP
F FmOP
490.822 414.165 M (1)S
FmE
3404 0 :M
f148 sf
( )S
3406 0 :M
FrMacBegin
B
0 FmP
F FmOP
494.822 411.665 M ( is )S
42 428.164 M (set to \(1, 1, 1\). )S
-0.181 N (The message on the queue is no)S
-0.251 N (w check)S
-0.1 N (ed. )S
-0.552 N (As )S
FmE
3406 0 :M
f203 sf
( )S
3408 0 :M
FrMacBegin
B
0 FmP
F FmOP
289.366 428.164 M (V)S
FmE
3409 0 :M
f250 sf
( )S
3411 0 :M
FrMacBegin
B
0 FmP
F FmOP
295.474 424.164 M (d)S
FmE
3411 0 :M
f148 sf
( )S
3413 0 :M
FrMacBegin
B
0 FmP
F FmOP
299.474 428.164 M ([1] = \(0, 1, 1\) < \(1, 1, 1\) = )S
FmE
3413 0 :M
f203 sf
( )S
3415 0 :M
FrMacBegin
B
0 FmP
F FmOP
406.359 428.164 M (C)S
FmE
3416 0 :M
f276 sf
( )S
3418 0 :M
FrMacBegin
B
0 FmP
F FmOP
413.029 430.664 M (1)S
FmE
3418 0 :M
f148 sf
( )S
3420 0 :M
FrMacBegin
B
0 FmP
F FmOP
417.029 428.164 M (, the message is no)S
-0.251 N (w )S
42 441.998 M (accepted. )S
FmE
3420 0 :M
f203 sf
( )S
3422 0 :M
FrMacBegin
B
0 FmP
F FmOP
81.619 441.998 M (V)S
FmE
3423 0 :M
f276 sf
( )S
3425 0 :M
FrMacBegin
B
0 FmP
F FmOP
87.728 444.498 M (1)S
FmE
3425 0 :M
f148 sf
( )S
3427 0 :M
FrMacBegin
B
0 FmP
F FmOP
91.728 441.998 M ( is set to \(\(0, 1, 1\), ?, ?\) and )S
FmE
3427 0 :M
f203 sf
( )S
3429 0 :M
FrMacBegin
B
0 FmP
F FmOP
203.905 441.998 M (C)S
FmE
3430 0 :M
f276 sf
( )S
3432 0 :M
FrMacBegin
B
0 FmP
F FmOP
210.575 444.498 M (1)S
FmE
3432 0 :M
f148 sf
( )S
3434 0 :M
FrMacBegin
B
0 FmP
F FmOP
214.575 441.998 M ( is set to \(1, 2, 1\).)S
FmE
42 53 468 118 rC
3434 0 :M
FrMacBegin
42 53 468 117.333 FmKp
B
0 FmP
F FmOP
96 71.804 FmB
378 0 FmL
2 1 FmSo
95.333 107.804 FmB
378 0 FmL
2 1 FmSo
96 152.804 FmB
378 0 FmL
2 1 FmSo
0 360 4.5 4.5 0 T 243.5 71.971 FmAF
T 0 360 4.5 4.5 0 243.5 71.971 2 1 F FmAP
0 360 4.5 4.5 0 T 184.833 107.971 FmAF
T 0 360 4.5 4.5 0 184.833 107.971 2 1 F FmAP
0 360 4.5 4.5 0 T 235.5 107.971 FmAF
T 0 360 4.5 4.5 0 235.5 107.971 2 1 F FmAP
0 360 4.5 4.5 0 T 147.5 153.971 FmAF
T 0 360 4.5 4.5 0 147.5 153.971 2 1 F FmAP
0 360 4.167 4.5 0 T 326.5 153.356 FmAF
T 0 360 4.167 4.5 0 326.5 153.356 2 1 F FmAP
0 360 4.5 4.5 0 T 374.833 71.971 FmAF
T 0 360 4.5 4.5 0 374.833 71.971 2 1 F FmAP
FmE
3434 0 :M
f289 sf
( )S
3437 0 :M
FrMacBegin
42 53 468 117.333 FmKp
B
0 FmP
F FmOP
75.333 72.171 M (P)S
FmE
3437 0 :M
f148 sf
( )S
3439 0 :M
FrMacBegin
42 53 468 117.333 FmKp
B
0 FmP
F FmOP
FmG 82.663 75.171 M 0.96 0.96 scale (1)S FmR
FmE
3440 0 :M
f289 sf
( )S
3443 0 :M
FrMacBegin
42 53 468 117.333 FmKp
B
0 FmP
F FmOP
75.333 109.505 M (P)S
FmE
3443 0 :M
f148 sf
( )S
3445 0 :M
FrMacBegin
42 53 468 117.333 FmKp
B
0 FmP
F FmOP
FmG 82.663 112.505 M 0.96 0.96 scale (2)S FmR
FmE
3445 0 :M
f289 sf
( )S
3448 0 :M
FrMacBegin
42 53 468 117.333 FmKp
B
0 FmP
F FmOP
75.333 156.171 M (P)S
FmE
3448 0 :M
f148 sf
( )S
3450 0 :M
FrMacBegin
42 53 468 117.333 FmKp
B
0 FmP
F FmOP
FmG 82.663 159.171 M 0.96 0.96 scale (3)S FmR
FmG 242.126 61.917 M 0.96 0.96 scale (e11)S FmR
FmG 182.667 100.504 M 0.96 0.96 scale (e21)S FmR
FmG 236 100.504 M 0.96 0.96 scale (e22)S FmR
FmG 131.333 145.171 M 0.96 0.96 scale (e31)S FmR
FmG 324.667 145.89 M 0.96 0.96 scale (e32)S FmR
FmG 368.667 64.505 M 0.96 0.96 scale (e12)S FmR
359.815 76.979 FmB
-0.826 -3.371 FmL
12.583 0.491 FmL
-10.931 6.252 FmL
1 FmS
359.815 76.979 FmB
-0.826 -3.371 FmL
12.583 0.491 FmL
-10.931 6.252 FmL
FmFl
240.667 106.171 FmB
118.662 -29.073 FmL
2 1 FmSo
313.842 140.153 FmB
2.373 -2.533 FmL
6.463 10.808 FmL
-11.208 -5.741 FmL
1 FmS
313.842 140.153 FmB
2.373 -2.533 FmL
6.463 10.808 FmL
-11.208 -5.741 FmL
FmFl
240 71 FmB
73.477 68.812 FmL
2 1 FmSo
174.319 121.443 FmB
-2.645 -2.248 FmL
10.484 -6.975 FmL
-5.195 11.471 FmL
1 FmS
174.319 121.443 FmB
-2.645 -2.248 FmL
10.484 -6.975 FmL
-5.195 11.471 FmL
FmFl
149.333 150.838 FmB
24.662 -29.014 FmL
2 1 FmSo
0 360 4.5 4.5 0 T 382.167 107.971 FmAF
T 0 360 4.5 4.5 0 382.167 107.971 2 1 F FmAP
FmG 388.667 116.505 M 0.96 0.96 scale (e23)S FmR
434.961 78.707 FmB
-1.589 -3.086 FmL
12.35 -2.458 FmL
-9.171 8.629 FmL
1 FmS
434.961 78.707 FmB
-1.589 -3.086 FmL
12.35 -2.458 FmL
-9.171 8.629 FmL
FmFl
381.333 106.333 FmB
53.183 -27.397 FmL
2 1 FmSo
FmG 448 65.838 M 0.96 0.96 scale (e13)S FmR
0 360 4.5 4.5 0 T 450.833 71.304 FmAF
T 0 360 4.5 4.5 0 450.833 71.304 2 1 F FmAP
FmE
gR
gS 0 0 552 728 rC
3451 0 :M
FrMacBegin
B
0 FmP
F FmOP
97.333 327.536 FmB
378 0 FmL
2 1 FmSo
97.333 363.536 FmB
378 0 FmL
2 1 FmSo
97.333 408.536 FmB
378 0 FmL
2 1 FmSo
0 360 4.5 4.5 0 T 128.833 327.036 FmAF
T 0 360 4.5 4.5 0 128.833 327.036 2 1 F FmAP
0 360 4.5 4.5 0 T 244.833 327.703 FmAF
T 0 360 4.5 4.5 0 244.833 327.703 2 1 F FmAP
0 360 4.5 4.5 0 T 186.167 363.703 FmAF
T 0 360 4.5 4.5 0 186.167 363.703 2 1 F FmAP
0 360 4.5 4.5 0 T 236.833 363.703 FmAF
T 0 360 4.5 4.5 0 236.833 363.703 2 1 F FmAP
0 360 4.5 4.5 0 T 148.833 409.703 FmAF
T 0 360 4.5 4.5 0 148.833 409.703 2 1 F FmAP
0 360 4.5 4.5 0 T 350.833 363.703 FmAF
T 0 360 4.5 4.5 0 350.833 363.703 2 1 F FmAP
0 360 4.5 4.5 0 T 424.833 409.036 FmAF
T 0 360 4.5 4.5 0 424.833 409.036 2 1 F FmAP
0 360 4.5 4.5 0 T 422.167 328.37 FmAF
T 0 360 4.5 4.5 0 422.167 328.37 2 1 F FmAP
FmE
3451 0 :M
f289 sf
( )S
3454 0 :M
FrMacBegin
B
0 FmP
F FmOP
76.667 327.903 M (P)S
FmE
3454 0 :M
f148 sf
( )S
3456 0 :M
FrMacBegin
B
0 FmP
F FmOP
FmG 83.997 330.903 M 0.96 0.96 scale (1)S FmR
FmE
3457 0 :M
f289 sf
( )S
3460 0 :M
FrMacBegin
B
0 FmP
F FmOP
76.667 365.237 M (P)S
FmE
3460 0 :M
f148 sf
( )S
3462 0 :M
FrMacBegin
B
0 FmP
F FmOP
FmG 83.997 368.237 M 0.96 0.96 scale (2)S FmR
FmE
3462 0 :M
f289 sf
( )S
3465 0 :M
FrMacBegin
B
0 FmP
F FmOP
76.667 411.903 M (P)S
FmE
3465 0 :M
f148 sf
( )S
3467 0 :M
FrMacBegin
B
0 FmP
F FmOP
FmG 83.997 414.903 M 0.96 0.96 scale (3)S FmR
FmG 125.333 319.57 M 0.96 0.96 scale (e11)S FmR
FmG 244.667 321.57 M 0.96 0.96 scale (e12)S FmR
FmG 184 356.237 M 0.96 0.96 scale (e21)S FmR
FmG 237.333 356.237 M 0.96 0.96 scale (e22)S FmR
FmG 327.333 356.237 M 0.96 0.96 scale (e23)S FmR
FmG 132.667 400.903 M 0.96 0.96 scale (e31)S FmR
FmG 423.333 401.57 M 0.96 0.96 scale (e32)S FmR
FmG 416 320.903 M 0.96 0.96 scale (e13)S FmR
313.026 354.864 FmB
1.257 -3.235 FmL
10.027 7.618 FmL
-12.54 -1.147 FmL
1 FmS
313.026 354.864 FmB
1.257 -3.235 FmL
10.027 7.618 FmL
-12.54 -1.147 FmL
FmFl
245.333 328.57 FmB
67.227 26.113 FmL
2 1 FmSo
404.305 331.708 FmB
-0.616 -3.416 FmL
12.529 1.266 FmL
-11.296 5.565 FmL
1 FmS
404.305 331.708 FmB
-0.616 -3.416 FmL
12.529 1.266 FmL
-11.296 5.565 FmL
FmFl
240.667 361.237 FmB
163.146 -29.44 FmL
2 1 FmSo
408.575 398.344 FmB
1.719 -3.015 FmL
8.798 9.01 FmL
-12.235 -2.979 FmL
1 FmS
408.575 398.344 FmB
1.719 -3.015 FmL
8.798 9.01 FmL
-12.235 -2.979 FmL
FmFl
354 367.237 FmB
54.14 30.86 FmL
2 1 FmSo
175.653 377.175 FmB
-2.645 -2.248 FmL
10.484 -6.975 FmL
-5.195 11.471 FmL
1 FmS
175.653 377.175 FmB
-2.645 -2.248 FmL
10.484 -6.975 FmL
-5.195 11.471 FmL
FmFl
150.667 406.57 FmB
24.662 -29.014 FmL
2 1 FmSo
0 360 4.5 4.5 0 T 327.5 363.703 FmAF
T 0 360 4.5 4.5 0 327.5 363.703 2 1 F FmAP
358.667 353.903 M (e24)S
FmE
endp
showpage
%%PageTrailer
%%Page: 8 8
%%PageProcessColors: Black
%%PageCustomColors: 
%%BeginPageSetup
initializepage
(The Bishops; page: 8 of 10)setjob
%%EndPageSetup
gS 0 0 552 728 rC
3468 0 :M
FrMacBegin
0 FmP
F FmOP
0 FmSP
FmE
42 14 468 14 rC
3468 0 :M
FrMacBegin
42 15 468 12 FmKp
B
0 FmP
F FmOP
42 16 FmB
468 0 FmL
2 1 FmSo
42 19 FmB
468 0 FmL
2 1 FmSo
FmE
gR
gS 0 0 552 728 rC
3468 0 :M
f148 sf
( )S
3470 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 11.667 M (February 17, 2000)S
112.359 N (ECS 251 \320 Winter 2000)S
159.015 N (Page )S
(8)S
157.278 725 M (Last modified at )S
(11:37 pm on Thursday, February 17, 2000)S
FmE
3471 0 :M
f175 sf
( )S
3475 0 :M
FrMacBegin
B
0 FmP
F FmOP
81.208 53 M (Chandy-Lamport Global State Recording Pr)S
-0.325 N (otocol)S
FmE
3475 0 :M
f263 sf
( )S
3478 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 85 M (Intr)S
-0.217 N (oduction)S
FmE
3478 0 :M
f148 sf
( )S
3480 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 102.667 M (The goal of this distrib)S
-0.2 N (uted algorithm is to capture a consistent global state. It assumes all communication channels )S
42 114.667 M (are FIFO. It uses a distinguished message called a )S
FmE
3481 0 :M
f203 sf
( )S
3483 0 :M
FrMacBegin
B
0 FmP
F FmOP
244.144 114.667 M (mark)S
-0.1 N (er)S
FmE
3483 0 :M
f148 sf
( )S
3485 0 :M
FrMacBegin
B
0 FmP
F FmOP
272.918 114.667 M ( to start the algorithm.)S
FmE
3486 0 :M
f263 sf
( )S
3489 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 140 M (Pr)S
-0.217 N (otocol)S
FmE
3489 0 :M
f319 sf
( )S
3491 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 157.667 M (P)S
FmE
3491 0 :M
f332 sf
( )S
3493 0 :M
FrMacBegin
B
0 FmP
F FmOP
48.108 160.167 M (i)S
FmE
3493 0 :M
f345 sf
( )S
3495 0 :M
FrMacBegin
B
0 FmP
F FmOP
50.331 157.667 M ( sends mark)S
-0.1 N (er)S
FmE
3496 0 :M
f148 sf
( )S
3498 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 171.5 M (1.)S
FmE
3498 0 :M
f203 sf
( )S
3500 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 171.5 M (Pi)S
FmE
3501 0 :M
f148 sf
( )S
3503 0 :M
FrMacBegin
B
0 FmP
F FmOP
68.887 171.5 M ( records its local state)S
42 183.8 M (2.)S
10.5 N (F)S
-0.151 N (or each )S
FmE
3503 0 :M
f203 sf
( )S
3505 0 :M
FrMacBegin
B
0 FmP
F FmOP
97.051 183.8 M (C)S
FmE
3506 0 :M
f250 sf
( )S
3508 0 :M
FrMacBegin
B
0 FmP
F FmOP
103.721 186.3 M (ij)S
FmE
3508 0 :M
f148 sf
( )S
3510 0 :M
FrMacBegin
B
0 FmP
F FmOP
108.166 183.8 M ( on which )S
FmE
3510 0 :M
f203 sf
( )S
3512 0 :M
FrMacBegin
B
0 FmP
F FmOP
150.102 183.8 M (P)S
FmE
3513 0 :M
f250 sf
( )S
3515 0 :M
FrMacBegin
B
0 FmP
F FmOP
156.21 186.3 M (i)S
FmE
3515 0 :M
f148 sf
( )S
3517 0 :M
FrMacBegin
B
0 FmP
F FmOP
158.433 183.8 M ( has not already sent a mark)S
-0.1 N (er)S
-0.4 N (, )S
FmE
3517 0 :M
f203 sf
( )S
3519 0 :M
FrMacBegin
B
0 FmP
F FmOP
282.315 183.8 M (P)S
FmE
3520 0 :M
f250 sf
( )S
3522 0 :M
FrMacBegin
B
0 FmP
F FmOP
288.423 186.3 M (i)S
FmE
3522 0 :M
f148 sf
( )S
3524 0 :M
FrMacBegin
B
0 FmP
F FmOP
290.646 183.8 M ( sends a mark)S
-0.1 N (er )S
FmE
3524 0 :M
f203 sf
( )S
3526 0 :M
FrMacBegin
B
0 FmP
F FmOP
355.512 183.8 M (befor)S
-0.371 N (e)S
FmE
3527 0 :M
f148 sf
( )S
3529 0 :M
FrMacBegin
B
0 FmP
F FmOP
380.685 183.8 M ( sending other messages.)S
FmE
3529 0 :M
f319 sf
( )S
3531 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 197.933 M (P)S
FmE
3532 0 :M
f332 sf
( )S
3534 0 :M
FrMacBegin
B
0 FmP
F FmOP
48.108 200.433 M (i)S
FmE
3534 0 :M
f345 sf
( )S
3536 0 :M
FrMacBegin
B
0 FmP
F FmOP
50.331 197.933 M ( r)S
-0.181 N (ecei)S
-0.1 N (v)S
-0.1 N (es mark)S
-0.1 N (er fr)S
-0.181 N (om Pj)S
FmE
3536 0 :M
f148 sf
( )S
3538 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 211.766 M (1.)S
10.5 N (If )S
FmE
3539 0 :M
f203 sf
( )S
3541 0 :M
FrMacBegin
B
0 FmP
F FmOP
69.155 211.766 M (P)S
FmE
3541 0 :M
f250 sf
( )S
3543 0 :M
FrMacBegin
B
0 FmP
F FmOP
75.264 214.266 M (i)S
FmE
3543 0 :M
f148 sf
( )S
3545 0 :M
FrMacBegin
B
0 FmP
F FmOP
77.486 211.766 M ( has )S
FmE
3546 0 :M
f203 sf
( )S
3548 0 :M
FrMacBegin
B
0 FmP
F FmOP
95.814 211.766 M (not)S
FmE
3548 0 :M
f148 sf
( )S
3550 0 :M
FrMacBegin
B
0 FmP
F FmOP
108.592 211.766 M ( recorded its state:)S
60 225.6 M (a.)S
11.062 N (Record the state of )S
FmE
3551 0 :M
f203 sf
( )S
3553 0 :M
FrMacBegin
B
0 FmP
F FmOP
155.742 225.6 M (C)S
FmE
3553 0 :M
f250 sf
( )S
3555 0 :M
FrMacBegin
B
0 FmP
F FmOP
162.412 228.1 M (ji)S
FmE
3555 0 :M
f148 sf
( )S
3557 0 :M
FrMacBegin
B
0 FmP
F FmOP
166.857 225.6 M ( as empty)S
60 239.433 M (b)S
-0.4 N (.)S
10.9 N (Send the mark)S
-0.1 N (er as described abo)S
-0.151 N (v)S
-0.151 N (e)S
42 251.733 M (2.)S
10.5 N (If )S
FmE
3558 0 :M
f203 sf
( )S
3560 0 :M
FrMacBegin
B
0 FmP
F FmOP
69.155 251.733 M (P)S
FmE
3560 0 :M
f250 sf
( )S
3562 0 :M
FrMacBegin
B
0 FmP
F FmOP
75.264 254.233 M (i)S
FmE
3562 0 :M
f148 sf
( )S
3564 0 :M
FrMacBegin
B
0 FmP
F FmOP
77.486 251.733 M ( has recorded its state )S
FmE
3565 0 :M
f203 sf
( )S
3567 0 :M
FrMacBegin
B
0 FmP
F FmOP
166.053 251.733 M (LS)S
FmE
3567 0 :M
f250 sf
( )S
3569 0 :M
FrMacBegin
B
0 FmP
F FmOP
176.612 254.233 M (i)S
FmE
3569 0 :M
f148 sf
( )S
3571 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 265.866 M (a.)S
11.062 N (Record the state of )S
FmE
3572 0 :M
f203 sf
( )S
3574 0 :M
FrMacBegin
B
0 FmP
F FmOP
155.742 265.866 M (C)S
FmE
3574 0 :M
f250 sf
( )S
3576 0 :M
FrMacBegin
B
0 FmP
F FmOP
162.412 268.366 M (ji)S
FmE
3576 0 :M
f148 sf
( )S
3578 0 :M
FrMacBegin
B
0 FmP
F FmOP
166.857 265.866 M ( to be the sequence of messages recei)S
-0.251 N (v)S
-0.151 N (ed between the computation of )S
FmE
3579 0 :M
f203 sf
( )S
3581 0 :M
FrMacBegin
B
0 FmP
F FmOP
446.327 265.866 M (LS)S
FmE
3581 0 :M
f250 sf
( )S
3583 0 :M
FrMacBegin
B
0 FmP
F FmOP
456.886 268.366 M (i)S
FmE
3583 0 :M
f148 sf
( )S
3585 0 :M
FrMacBegin
B
0 FmP
F FmOP
459.109 265.866 M ( and the )S
78 279.7 M (mark)S
-0.1 N (er from )S
FmE
3586 0 :M
f203 sf
( )S
3588 0 :M
FrMacBegin
B
0 FmP
F FmOP
130.644 279.7 M (C)S
FmE
3588 0 :M
f250 sf
( )S
3590 0 :M
FrMacBegin
B
0 FmP
F FmOP
137.314 282.2 M (ji)S
FmE
3590 0 :M
f148 sf
( )S
3592 0 :M
FrMacBegin
B
0 FmP
F FmOP
141.759 279.7 M (.)S
FmE
3593 0 :M
f263 sf
( )S
3596 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 306.866 M (Example)S
FmE
3596 0 :M
f148 sf
( )S
3598 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 439.866 M (Here, all processes are connected by communications channels Cij. Messages being sent o)S
-0.151 N (v)S
-0.151 N (er the channels are repre-)S
42 451.866 M (sented by arro)S
-0.251 N (ws between the processes.)S
42 463.866 M (Snapshot )S
FmE
3598 0 :M
f203 sf
( )S
3600 0 :M
FrMacBegin
B
0 FmP
F FmOP
81.165 463.866 M (s)S
FmE
3601 0 :M
f276 sf
( )S
3603 0 :M
FrMacBegin
B
0 FmP
F FmOP
85.054 466.366 M (1)S
FmE
3603 0 :M
f148 sf
( )S
3605 0 :M
FrMacBegin
B
0 FmP
F FmOP
89.054 463.866 M (:)S
FmE
3605 0 :M
f203 sf
( )S
3607 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 477.699 M (P)S
FmE
3608 0 :M
f276 sf
( )S
3610 0 :M
FrMacBegin
B
0 FmP
F FmOP
48.108 480.199 M (1)S
FmE
3610 0 :M
f148 sf
( )S
3612 0 :M
FrMacBegin
B
0 FmP
F FmOP
52.108 477.699 M ( records )S
FmE
3612 0 :M
f203 sf
( )S
3614 0 :M
FrMacBegin
B
0 FmP
F FmOP
86.53 477.699 M (LS)S
FmE
3615 0 :M
f276 sf
( )S
3617 0 :M
FrMacBegin
B
0 FmP
F FmOP
97.089 480.199 M (1)S
FmE
3617 0 :M
f148 sf
( )S
3619 0 :M
FrMacBegin
B
0 FmP
F FmOP
101.089 477.699 M (, sends mark)S
-0.1 N (ers on )S
FmE
3619 0 :M
f203 sf
( )S
3621 0 :M
FrMacBegin
B
0 FmP
F FmOP
177.905 477.699 M (C)S
FmE
3622 0 :M
f276 sf
( )S
3624 0 :M
FrMacBegin
B
0 FmP
F FmOP
184.575 480.199 M (12)S
FmE
3624 0 :M
f148 sf
( )S
3626 0 :M
FrMacBegin
B
0 FmP
F FmOP
192.575 477.699 M ( and )S
FmE
3626 0 :M
f203 sf
( )S
3628 0 :M
FrMacBegin
B
0 FmP
F FmOP
212.014 477.699 M (C)S
FmE
3629 0 :M
f276 sf
( )S
3631 0 :M
FrMacBegin
B
0 FmP
F FmOP
218.684 480.199 M (13)S
FmE
3631 0 :M
f203 sf
( )S
3633 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 491.533 M (P)S
FmE
3633 0 :M
f276 sf
( )S
3635 0 :M
FrMacBegin
B
0 FmP
F FmOP
48.108 494.033 M (2)S
FmE
3635 0 :M
f148 sf
( )S
3637 0 :M
FrMacBegin
B
0 FmP
F FmOP
52.108 491.533 M ( recei)S
-0.251 N (v)S
-0.151 N (es mark)S
-0.1 N (er from )S
FmE
3638 0 :M
f203 sf
( )S
3640 0 :M
FrMacBegin
B
0 FmP
F FmOP
142.099 491.533 M (P)S
FmE
3640 0 :M
f276 sf
( )S
3642 0 :M
FrMacBegin
B
0 FmP
F FmOP
148.207 494.033 M (1)S
FmE
3642 0 :M
f148 sf
( )S
3644 0 :M
FrMacBegin
B
0 FmP
F FmOP
152.207 491.533 M ( on )S
FmE
3645 0 :M
f203 sf
( )S
3647 0 :M
FrMacBegin
B
0 FmP
F FmOP
167.207 491.533 M (C)S
FmE
3647 0 :M
f276 sf
( )S
3649 0 :M
FrMacBegin
B
0 FmP
F FmOP
173.877 494.033 M (12)S
FmE
3649 0 :M
f148 sf
( )S
3651 0 :M
FrMacBegin
B
0 FmP
F FmOP
181.877 491.533 M (; it records its state )S
FmE
3652 0 :M
f203 sf
( )S
3654 0 :M
FrMacBegin
B
0 FmP
F FmOP
259.902 491.533 M (LS)S
FmE
3654 0 :M
f276 sf
( )S
3656 0 :M
FrMacBegin
B
0 FmP
F FmOP
270.461 494.033 M (2)S
FmE
3656 0 :M
f148 sf
( )S
3658 0 :M
FrMacBegin
B
0 FmP
F FmOP
274.461 491.533 M (, records state of )S
FmE
3659 0 :M
f203 sf
( )S
3661 0 :M
FrMacBegin
B
0 FmP
F FmOP
343.033 491.533 M (C)S
FmE
3661 0 :M
f276 sf
( )S
3663 0 :M
FrMacBegin
B
0 FmP
F FmOP
349.703 494.033 M (12)S
FmE
3663 0 :M
f148 sf
( )S
3665 0 :M
FrMacBegin
B
0 FmP
F FmOP
357.703 491.533 M ( as empty)S
-0.652 N (, and sends mark)S
-0.1 N (er on  )S
FmE
3666 0 :M
f203 sf
( )S
3668 0 :M
FrMacBegin
B
0 FmP
F FmOP
487.739 491.533 M (C)S
FmE
3668 0 :M
f276 sf
( )S
3670 0 :M
FrMacBegin
B
0 FmP
F FmOP
494.409 494.033 M (21)S
FmE
3670 0 :M
f148 sf
( )S
3672 0 :M
FrMacBegin
B
0 FmP
F FmOP
502.409 491.533 M ( )S
42 505.366 M (and )S
FmE
3673 0 :M
f203 sf
( )S
3675 0 :M
FrMacBegin
B
0 FmP
F FmOP
58.938 505.366 M (C)S
FmE
3675 0 :M
f276 sf
( )S
3677 0 :M
FrMacBegin
B
0 FmP
F FmOP
65.608 507.866 M (23)S
FmE
3677 0 :M
f203 sf
( )S
3679 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 519.199 M (P)S
FmE
3680 0 :M
f276 sf
( )S
3682 0 :M
FrMacBegin
B
0 FmP
F FmOP
48.108 521.699 M (3)S
FmE
3682 0 :M
f148 sf
( )S
3684 0 :M
FrMacBegin
B
0 FmP
F FmOP
52.108 519.199 M ( recei)S
-0.251 N (v)S
-0.151 N (es mark)S
-0.1 N (er from )S
FmE
3684 0 :M
f203 sf
( )S
3686 0 :M
FrMacBegin
B
0 FmP
F FmOP
142.099 519.199 M (P)S
FmE
3687 0 :M
f276 sf
( )S
3689 0 :M
FrMacBegin
B
0 FmP
F FmOP
148.207 521.699 M (1)S
FmE
3689 0 :M
f148 sf
( )S
3691 0 :M
FrMacBegin
B
0 FmP
F FmOP
152.207 519.199 M ( on )S
FmE
3691 0 :M
f203 sf
( )S
3693 0 :M
FrMacBegin
B
0 FmP
F FmOP
167.207 519.199 M (C)S
FmE
3694 0 :M
f276 sf
( )S
3696 0 :M
FrMacBegin
B
0 FmP
F FmOP
173.877 521.699 M (13)S
FmE
3696 0 :M
f148 sf
( )S
3698 0 :M
FrMacBegin
B
0 FmP
F FmOP
181.877 519.199 M (; it records its state )S
FmE
3698 0 :M
f203 sf
( )S
3700 0 :M
FrMacBegin
B
0 FmP
F FmOP
259.902 519.199 M (LS)S
FmE
3701 0 :M
f276 sf
( )S
3703 0 :M
FrMacBegin
B
0 FmP
F FmOP
270.461 521.699 M (3)S
FmE
3703 0 :M
f148 sf
( )S
3705 0 :M
FrMacBegin
B
0 FmP
F FmOP
274.461 519.199 M (, records state of )S
FmE
3705 0 :M
f203 sf
( )S
3707 0 :M
FrMacBegin
B
0 FmP
F FmOP
343.033 519.199 M (C)S
FmE
3708 0 :M
f276 sf
( )S
3710 0 :M
FrMacBegin
B
0 FmP
F FmOP
349.703 521.699 M (13)S
FmE
3710 0 :M
f148 sf
( )S
3712 0 :M
FrMacBegin
B
0 FmP
F FmOP
357.703 519.199 M ( as empty)S
-0.652 N (, and sends mark)S
-0.1 N (ers on )S
FmE
3712 0 :M
f203 sf
( )S
3714 0 :M
FrMacBegin
B
0 FmP
F FmOP
489.128 519.199 M (C)S
FmE
3715 0 :M
f276 sf
( )S
3717 0 :M
FrMacBegin
B
0 FmP
F FmOP
495.798 521.699 M (31)S
FmE
3717 0 :M
f148 sf
( )S
3719 0 :M
FrMacBegin
B
0 FmP
F FmOP
503.798 519.199 M ( )S
42 533.033 M (and )S
FmE
3719 0 :M
f203 sf
( )S
3721 0 :M
FrMacBegin
B
0 FmP
F FmOP
58.938 533.033 M (C)S
FmE
3722 0 :M
f276 sf
( )S
3724 0 :M
FrMacBegin
B
0 FmP
F FmOP
65.608 535.533 M (32)S
FmE
3724 0 :M
f148 sf
( )S
3726 0 :M
FrMacBegin
B
0 FmP
F FmOP
73.608 533.033 M (.)S
FmE
3726 0 :M
f203 sf
( )S
3728 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 546.866 M (P)S
FmE
3729 0 :M
f276 sf
( )S
3731 0 :M
FrMacBegin
B
0 FmP
F FmOP
48.108 549.366 M (1)S
FmE
3731 0 :M
f148 sf
( )S
3733 0 :M
FrMacBegin
B
0 FmP
F FmOP
52.108 546.866 M ( recei)S
-0.251 N (v)S
-0.151 N (es mark)S
-0.1 N (er from )S
FmE
3733 0 :M
f203 sf
( )S
3735 0 :M
FrMacBegin
B
0 FmP
F FmOP
142.099 546.866 M (P)S
FmE
3736 0 :M
f276 sf
( )S
3738 0 :M
FrMacBegin
B
0 FmP
F FmOP
148.207 549.366 M (2)S
FmE
3738 0 :M
f148 sf
( )S
3740 0 :M
FrMacBegin
B
0 FmP
F FmOP
152.207 546.866 M ( on )S
FmE
3740 0 :M
f203 sf
( )S
3742 0 :M
FrMacBegin
B
0 FmP
F FmOP
167.207 546.866 M (C)S
FmE
3743 0 :M
f276 sf
( )S
3745 0 :M
FrMacBegin
B
0 FmP
F FmOP
173.877 549.366 M (21)S
FmE
3745 0 :M
f148 sf
( )S
3747 0 :M
FrMacBegin
B
0 FmP
F FmOP
181.877 546.866 M (; as )S
FmE
3747 0 :M
f203 sf
( )S
3749 0 :M
FrMacBegin
B
0 FmP
F FmOP
197.983 546.866 M (LS)S
FmE
3750 0 :M
f276 sf
( )S
3752 0 :M
FrMacBegin
B
0 FmP
F FmOP
208.542 549.366 M (1)S
FmE
3752 0 :M
f148 sf
( )S
3754 0 :M
FrMacBegin
B
0 FmP
F FmOP
212.542 546.866 M ( is recorded, it records the state of )S
FmE
3754 0 :M
f203 sf
( )S
3756 0 :M
FrMacBegin
B
0 FmP
F FmOP
350.525 546.866 M (C)S
FmE
3757 0 :M
f276 sf
( )S
3759 0 :M
FrMacBegin
B
0 FmP
F FmOP
357.195 549.366 M (21)S
FmE
3759 0 :M
f148 sf
( )S
3761 0 :M
FrMacBegin
B
0 FmP
F FmOP
365.195 546.866 M ( as empty)S
-0.652 N (.)S
FmE
3761 0 :M
f203 sf
( )S
3763 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 560.699 M (P)S
FmE
3764 0 :M
f276 sf
( )S
3766 0 :M
FrMacBegin
B
0 FmP
F FmOP
48.108 563.199 M (1)S
FmE
3766 0 :M
f148 sf
( )S
3768 0 :M
FrMacBegin
B
0 FmP
F FmOP
52.108 560.699 M ( recei)S
-0.251 N (v)S
-0.151 N (es mark)S
-0.1 N (er from )S
FmE
3768 0 :M
f203 sf
( )S
3770 0 :M
FrMacBegin
B
0 FmP
F FmOP
142.099 560.699 M (P)S
FmE
3771 0 :M
f276 sf
( )S
3773 0 :M
FrMacBegin
B
0 FmP
F FmOP
148.207 563.199 M (3)S
FmE
3773 0 :M
f148 sf
( )S
3775 0 :M
FrMacBegin
B
0 FmP
F FmOP
152.207 560.699 M ( on )S
FmE
3775 0 :M
f203 sf
( )S
3777 0 :M
FrMacBegin
B
0 FmP
F FmOP
167.207 560.699 M (C)S
FmE
3778 0 :M
f276 sf
( )S
3780 0 :M
FrMacBegin
B
0 FmP
F FmOP
173.877 563.199 M (31)S
FmE
3780 0 :M
f148 sf
( )S
3782 0 :M
FrMacBegin
B
0 FmP
F FmOP
181.877 560.699 M (; as )S
FmE
3782 0 :M
f203 sf
( )S
3784 0 :M
FrMacBegin
B
0 FmP
F FmOP
197.983 560.699 M (LS)S
FmE
3785 0 :M
f276 sf
( )S
3787 0 :M
FrMacBegin
B
0 FmP
F FmOP
208.542 563.199 M (1)S
FmE
3787 0 :M
f148 sf
( )S
3789 0 :M
FrMacBegin
B
0 FmP
F FmOP
212.542 560.699 M ( is recorded, it records the state of )S
FmE
3789 0 :M
f203 sf
( )S
3791 0 :M
FrMacBegin
B
0 FmP
F FmOP
350.525 560.699 M (C)S
FmE
3792 0 :M
f276 sf
( )S
3794 0 :M
FrMacBegin
B
0 FmP
F FmOP
357.195 563.199 M (31)S
FmE
3794 0 :M
f148 sf
( )S
3796 0 :M
FrMacBegin
B
0 FmP
F FmOP
365.195 560.699 M ( as empty)S
-0.652 N (.)S
FmE
3796 0 :M
f203 sf
( )S
3798 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 574.532 M (P)S
FmE
3799 0 :M
f276 sf
( )S
3801 0 :M
FrMacBegin
B
0 FmP
F FmOP
48.108 577.032 M (2)S
FmE
3801 0 :M
f148 sf
( )S
3803 0 :M
FrMacBegin
B
0 FmP
F FmOP
52.108 574.532 M ( recei)S
-0.251 N (v)S
-0.151 N (es mark)S
-0.1 N (er from )S
FmE
3803 0 :M
f203 sf
( )S
3805 0 :M
FrMacBegin
B
0 FmP
F FmOP
142.099 574.532 M (P)S
FmE
3806 0 :M
f276 sf
( )S
3808 0 :M
FrMacBegin
B
0 FmP
F FmOP
148.207 577.032 M (3)S
FmE
3808 0 :M
f148 sf
( )S
3810 0 :M
FrMacBegin
B
0 FmP
F FmOP
152.207 574.532 M ( on )S
FmE
3810 0 :M
f203 sf
( )S
3812 0 :M
FrMacBegin
B
0 FmP
F FmOP
167.207 574.532 M (C)S
FmE
3813 0 :M
f276 sf
( )S
3815 0 :M
FrMacBegin
B
0 FmP
F FmOP
173.877 577.032 M (32)S
FmE
3815 0 :M
f148 sf
( )S
3817 0 :M
FrMacBegin
B
0 FmP
F FmOP
181.877 574.532 M (; as )S
FmE
3817 0 :M
f203 sf
( )S
3819 0 :M
FrMacBegin
B
0 FmP
F FmOP
197.983 574.532 M (LS)S
FmE
3820 0 :M
f276 sf
( )S
3822 0 :M
FrMacBegin
B
0 FmP
F FmOP
208.542 577.032 M (2)S
FmE
3822 0 :M
f148 sf
( )S
3824 0 :M
FrMacBegin
B
0 FmP
F FmOP
212.542 574.532 M ( is recorded, it records the state of )S
FmE
3824 0 :M
f203 sf
( )S
3826 0 :M
FrMacBegin
B
0 FmP
F FmOP
350.525 574.532 M (C)S
FmE
3827 0 :M
f276 sf
( )S
3829 0 :M
FrMacBegin
B
0 FmP
F FmOP
357.195 577.032 M (32)S
FmE
3829 0 :M
f148 sf
( )S
3831 0 :M
FrMacBegin
B
0 FmP
F FmOP
365.195 574.532 M ( as empty)S
-0.652 N (.)S
FmE
3831 0 :M
f203 sf
( )S
3833 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 588.366 M (P)S
FmE
3834 0 :M
f276 sf
( )S
3836 0 :M
FrMacBegin
B
0 FmP
F FmOP
48.108 590.866 M (3)S
FmE
3836 0 :M
f148 sf
( )S
3838 0 :M
FrMacBegin
B
0 FmP
F FmOP
52.108 588.366 M ( recei)S
-0.251 N (v)S
-0.151 N (es mark)S
-0.1 N (er from )S
FmE
3838 0 :M
f203 sf
( )S
3840 0 :M
FrMacBegin
B
0 FmP
F FmOP
142.099 588.366 M (P)S
FmE
3841 0 :M
f276 sf
( )S
3843 0 :M
FrMacBegin
B
0 FmP
F FmOP
148.207 590.866 M (2)S
FmE
3843 0 :M
f148 sf
( )S
3845 0 :M
FrMacBegin
B
0 FmP
F FmOP
152.207 588.366 M ( on )S
FmE
3845 0 :M
f203 sf
( )S
3847 0 :M
FrMacBegin
B
0 FmP
F FmOP
167.207 588.366 M (C)S
FmE
3848 0 :M
f276 sf
( )S
3850 0 :M
FrMacBegin
B
0 FmP
F FmOP
173.877 590.866 M (23)S
FmE
3850 0 :M
f148 sf
( )S
3852 0 :M
FrMacBegin
B
0 FmP
F FmOP
181.877 588.366 M (; as )S
FmE
3852 0 :M
f203 sf
( )S
3854 0 :M
FrMacBegin
B
0 FmP
F FmOP
197.983 588.366 M (LS)S
FmE
3855 0 :M
f276 sf
( )S
3857 0 :M
FrMacBegin
B
0 FmP
F FmOP
208.542 590.866 M (3)S
FmE
3857 0 :M
f148 sf
( )S
3859 0 :M
FrMacBegin
B
0 FmP
F FmOP
212.542 588.366 M ( is recorded, it records the state of )S
FmE
3859 0 :M
f203 sf
( )S
3861 0 :M
FrMacBegin
B
0 FmP
F FmOP
350.525 588.366 M (C)S
FmE
3862 0 :M
f276 sf
( )S
3864 0 :M
FrMacBegin
B
0 FmP
F FmOP
357.195 590.866 M (23)S
FmE
3864 0 :M
f148 sf
( )S
3866 0 :M
FrMacBegin
B
0 FmP
F FmOP
365.195 588.366 M ( as empty)S
-0.652 N (.)S
42 602.199 M (Snapshot )S
FmE
3866 0 :M
f203 sf
( )S
3868 0 :M
FrMacBegin
B
0 FmP
F FmOP
81.165 602.199 M (s)S
FmE
3869 0 :M
f276 sf
( )S
3871 0 :M
FrMacBegin
B
0 FmP
F FmOP
85.054 604.699 M (2)S
FmE
3871 0 :M
f148 sf
( )S
3873 0 :M
FrMacBegin
B
0 FmP
F FmOP
89.054 602.199 M (: no)S
-0.251 N (w a message is in transit on )S
FmE
3873 0 :M
f203 sf
( )S
3875 0 :M
FrMacBegin
B
0 FmP
F FmOP
216.547 602.199 M (C)S
FmE
3876 0 :M
f276 sf
( )S
3878 0 :M
FrMacBegin
B
0 FmP
F FmOP
223.217 604.699 M (12)S
FmE
3878 0 :M
f148 sf
( )S
3880 0 :M
FrMacBegin
B
0 FmP
F FmOP
231.217 602.199 M ( and )S
FmE
3880 0 :M
f203 sf
( )S
3882 0 :M
FrMacBegin
B
0 FmP
F FmOP
250.655 602.199 M (C)S
FmE
3883 0 :M
f276 sf
( )S
3885 0 :M
FrMacBegin
B
0 FmP
F FmOP
257.325 604.699 M (21)S
FmE
3885 0 :M
f148 sf
( )S
3887 0 :M
FrMacBegin
B
0 FmP
F FmOP
265.325 602.199 M (.)S
FmE
3887 0 :M
f203 sf
( )S
3889 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 616.032 M (P)S
FmE
3890 0 :M
f276 sf
( )S
3892 0 :M
FrMacBegin
B
0 FmP
F FmOP
48.108 618.532 M (1)S
FmE
3892 0 :M
f148 sf
( )S
3894 0 :M
FrMacBegin
B
0 FmP
F FmOP
52.108 616.032 M ( records )S
FmE
3894 0 :M
f203 sf
( )S
3896 0 :M
FrMacBegin
B
0 FmP
F FmOP
86.53 616.032 M (LS)S
FmE
3897 0 :M
f276 sf
( )S
3899 0 :M
FrMacBegin
B
0 FmP
F FmOP
97.089 618.532 M (1)S
FmE
3899 0 :M
f148 sf
( )S
3901 0 :M
FrMacBegin
B
0 FmP
F FmOP
101.089 616.032 M (, sends mark)S
-0.1 N (ers on )S
FmE
3901 0 :M
f203 sf
( )S
3903 0 :M
FrMacBegin
B
0 FmP
F FmOP
177.905 616.032 M (C)S
FmE
3904 0 :M
f276 sf
( )S
3906 0 :M
FrMacBegin
B
0 FmP
F FmOP
184.575 618.532 M (12)S
FmE
3906 0 :M
f148 sf
( )S
3908 0 :M
FrMacBegin
B
0 FmP
F FmOP
192.575 616.032 M ( and )S
FmE
3908 0 :M
f203 sf
( )S
3910 0 :M
FrMacBegin
B
0 FmP
F FmOP
212.014 616.032 M (C)S
FmE
3911 0 :M
f276 sf
( )S
3913 0 :M
FrMacBegin
B
0 FmP
F FmOP
218.684 618.532 M (13)S
FmE
3913 0 :M
f203 sf
( )S
3915 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 629.866 M (P)S
FmE
3915 0 :M
f276 sf
( )S
3917 0 :M
FrMacBegin
B
0 FmP
F FmOP
48.108 632.366 M (2)S
FmE
3917 0 :M
f148 sf
( )S
3919 0 :M
FrMacBegin
B
0 FmP
F FmOP
52.108 629.866 M ( recei)S
-0.251 N (v)S
-0.151 N (es mark)S
-0.1 N (er from )S
FmE
3920 0 :M
f203 sf
( )S
3922 0 :M
FrMacBegin
B
0 FmP
F FmOP
142.099 629.866 M (P)S
FmE
3922 0 :M
f276 sf
( )S
3924 0 :M
FrMacBegin
B
0 FmP
F FmOP
148.207 632.366 M (1)S
FmE
3924 0 :M
f148 sf
( )S
3926 0 :M
FrMacBegin
B
0 FmP
F FmOP
152.207 629.866 M ( on )S
FmE
3927 0 :M
f203 sf
( )S
3929 0 :M
FrMacBegin
B
0 FmP
F FmOP
167.207 629.866 M (C)S
FmE
3929 0 :M
f276 sf
( )S
3931 0 :M
FrMacBegin
B
0 FmP
F FmOP
173.877 632.366 M (12)S
FmE
3931 0 :M
f148 sf
( )S
3933 0 :M
FrMacBegin
B
0 FmP
F FmOP
181.877 629.866 M ( after the message from )S
FmE
3934 0 :M
f203 sf
( )S
3936 0 :M
FrMacBegin
B
0 FmP
F FmOP
278.21 629.866 M (P)S
FmE
3936 0 :M
f276 sf
( )S
3938 0 :M
FrMacBegin
B
0 FmP
F FmOP
284.318 632.366 M (1)S
FmE
3938 0 :M
f148 sf
( )S
3940 0 :M
FrMacBegin
B
0 FmP
F FmOP
288.318 629.866 M ( arri)S
-0.251 N (v)S
-0.151 N (es; it records its state )S
FmE
3941 0 :M
f203 sf
( )S
3943 0 :M
FrMacBegin
B
0 FmP
F FmOP
395.64 629.866 M (LS)S
FmE
3943 0 :M
f276 sf
( )S
3945 0 :M
FrMacBegin
B
0 FmP
F FmOP
406.199 632.366 M (2)S
FmE
3945 0 :M
f148 sf
( )S
3947 0 :M
FrMacBegin
B
0 FmP
F FmOP
410.199 629.866 M (, records state of )S
FmE
3948 0 :M
f203 sf
( )S
3950 0 :M
FrMacBegin
B
0 FmP
F FmOP
478.771 629.866 M (C)S
FmE
3950 0 :M
f276 sf
( )S
3952 0 :M
FrMacBegin
B
0 FmP
F FmOP
485.441 632.366 M (12)S
FmE
3952 0 :M
f148 sf
( )S
3954 0 :M
FrMacBegin
B
0 FmP
F FmOP
493.441 629.866 M ( as )S
42 643.699 M (empty)S
-0.652 N (, and sends mark)S
-0.1 N (er on  )S
FmE
3955 0 :M
f203 sf
( )S
3957 0 :M
FrMacBegin
B
0 FmP
F FmOP
158.709 643.699 M (C)S
FmE
3957 0 :M
f276 sf
( )S
3959 0 :M
FrMacBegin
B
0 FmP
F FmOP
165.379 646.199 M (21)S
FmE
3959 0 :M
f148 sf
( )S
3961 0 :M
FrMacBegin
B
0 FmP
F FmOP
173.379 643.699 M ( and )S
FmE
3962 0 :M
f203 sf
( )S
3964 0 :M
FrMacBegin
B
0 FmP
F FmOP
192.817 643.699 M (C)S
FmE
3964 0 :M
f276 sf
( )S
3966 0 :M
FrMacBegin
B
0 FmP
F FmOP
199.487 646.199 M (23)S
FmE
3966 0 :M
f203 sf
( )S
3968 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 657.532 M (P)S
FmE
3969 0 :M
f276 sf
( )S
3971 0 :M
FrMacBegin
B
0 FmP
F FmOP
48.108 660.032 M (3)S
FmE
3971 0 :M
f148 sf
( )S
3973 0 :M
FrMacBegin
B
0 FmP
F FmOP
52.108 657.532 M ( recei)S
-0.251 N (v)S
-0.151 N (es mark)S
-0.1 N (er from )S
FmE
3973 0 :M
f203 sf
( )S
3975 0 :M
FrMacBegin
B
0 FmP
F FmOP
142.099 657.532 M (P)S
FmE
3976 0 :M
f276 sf
( )S
3978 0 :M
FrMacBegin
B
0 FmP
F FmOP
148.207 660.032 M (1)S
FmE
3978 0 :M
f148 sf
( )S
3980 0 :M
FrMacBegin
B
0 FmP
F FmOP
152.207 657.532 M ( on )S
FmE
3980 0 :M
f203 sf
( )S
3982 0 :M
FrMacBegin
B
0 FmP
F FmOP
167.207 657.532 M (C)S
FmE
3983 0 :M
f276 sf
( )S
3985 0 :M
FrMacBegin
B
0 FmP
F FmOP
173.877 660.032 M (13)S
FmE
3985 0 :M
f148 sf
( )S
3987 0 :M
FrMacBegin
B
0 FmP
F FmOP
181.877 657.532 M (; it records its state )S
FmE
3987 0 :M
f203 sf
( )S
3989 0 :M
FrMacBegin
B
0 FmP
F FmOP
259.902 657.532 M (LS)S
FmE
3990 0 :M
f276 sf
( )S
3992 0 :M
FrMacBegin
B
0 FmP
F FmOP
270.461 660.032 M (3)S
FmE
3992 0 :M
f148 sf
( )S
3994 0 :M
FrMacBegin
B
0 FmP
F FmOP
274.461 657.532 M (, records state of )S
FmE
3994 0 :M
f203 sf
( )S
3996 0 :M
FrMacBegin
B
0 FmP
F FmOP
343.033 657.532 M (C)S
FmE
3997 0 :M
f276 sf
( )S
3999 0 :M
FrMacBegin
B
0 FmP
F FmOP
349.703 660.032 M (13)S
FmE
3999 0 :M
f148 sf
( )S
4001 0 :M
FrMacBegin
B
0 FmP
F FmOP
357.703 657.532 M ( as empty)S
-0.652 N (, and sends mark)S
-0.1 N (ers on )S
FmE
4001 0 :M
f203 sf
( )S
4003 0 :M
FrMacBegin
B
0 FmP
F FmOP
489.128 657.532 M (C)S
FmE
4004 0 :M
f276 sf
( )S
4006 0 :M
FrMacBegin
B
0 FmP
F FmOP
495.798 660.032 M (31)S
FmE
4006 0 :M
f148 sf
( )S
4008 0 :M
FrMacBegin
B
0 FmP
F FmOP
503.798 657.532 M ( )S
42 671.365 M (and )S
FmE
4008 0 :M
f203 sf
( )S
4010 0 :M
FrMacBegin
B
0 FmP
F FmOP
58.938 671.365 M (C)S
FmE
4011 0 :M
f276 sf
( )S
4013 0 :M
FrMacBegin
B
0 FmP
F FmOP
65.608 673.865 M (32)S
FmE
4013 0 :M
f148 sf
( )S
4015 0 :M
FrMacBegin
B
0 FmP
F FmOP
73.608 671.365 M (.)S
FmE
42 310 468 117 rC
4015 0 :M
FrMacBegin
42 310.866 468 115.333 FmKp
B
0 FmP
F FmOP
177.333 317 FmB
2.261 2.672 FmL
2 1 FmSo
179.594 319.672 FmB
83.478 98.656 FmL
[6.802 6.802 ]6.802 F 2 1 FmDS
263.072 418.328 FmB
2.262 2.672 FmL
2 1 FmSo
FmE
4015 0 :M
( )S
4017 0 :M
FrMacBegin
42 310.866 468 115.333 FmKp
B
0 FmP
F FmOP
FmG 252 394.903 M 0.96 0.96 scale ( s1)S FmR
266.667 317 FmB
2.234 2.694 FmL
2 1 FmSo
268.901 319.694 FmB
82.865 99.943 FmL
[6.833 6.833 ]6.833 F 2 1 FmDS
351.765 419.638 FmB
2.235 2.696 FmL
2 1 FmSo
FmG 336 395.333 M 0.96 0.96 scale (s2)S FmR
FmE
endp
showpage
%%PageTrailer
%%Page: 9 9
%%PageProcessColors: Black
%%PageCustomColors: 
%%BeginPageSetup
initializepage
(The Bishops; page: 9 of 10)setjob
%%EndPageSetup
gS 0 0 552 728 rC
4018 0 :M
FrMacBegin
0 FmP
F FmOP
0 FmSP
FmE
42 14 468 14 rC
4018 0 :M
FrMacBegin
42 15 468 12 FmKp
B
0 FmP
F FmOP
42 16 FmB
468 0 FmL
2 1 FmSo
42 19 FmB
468 0 FmL
2 1 FmSo
FmE
gR
gS 0 0 552 728 rC
4018 0 :M
f148 sf
( )S
4020 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 11.667 M (February 17, 2000)S
112.359 N (ECS 251 \320 Winter 2000)S
159.015 N (Page )S
(9)S
157.278 725 M (Last modified at )S
(11:37 pm on Thursday, February 17, 2000)S
FmE
4021 0 :M
f203 sf
( )S
4023 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 47.667 M (P)S
FmE
4023 0 :M
f276 sf
( )S
4025 0 :M
FrMacBegin
B
0 FmP
F FmOP
48.108 50.167 M (1)S
FmE
4025 0 :M
f148 sf
( )S
4027 0 :M
FrMacBegin
B
0 FmP
F FmOP
52.108 47.667 M ( recei)S
-0.251 N (v)S
-0.151 N (es mark)S
-0.1 N (er from )S
FmE
4028 0 :M
f203 sf
( )S
4030 0 :M
FrMacBegin
B
0 FmP
F FmOP
142.099 47.667 M (P)S
FmE
4030 0 :M
f276 sf
( )S
4032 0 :M
FrMacBegin
B
0 FmP
F FmOP
148.207 50.167 M (2)S
FmE
4032 0 :M
f148 sf
( )S
4034 0 :M
FrMacBegin
B
0 FmP
F FmOP
152.207 47.667 M ( on )S
FmE
4035 0 :M
f203 sf
( )S
4037 0 :M
FrMacBegin
B
0 FmP
F FmOP
167.207 47.667 M (C)S
FmE
4037 0 :M
f276 sf
( )S
4039 0 :M
FrMacBegin
B
0 FmP
F FmOP
173.877 50.167 M (21)S
FmE
4039 0 :M
f148 sf
( )S
4041 0 :M
FrMacBegin
B
0 FmP
F FmOP
181.877 47.667 M (; as )S
FmE
4042 0 :M
f203 sf
( )S
4044 0 :M
FrMacBegin
B
0 FmP
F FmOP
197.983 47.667 M (LS)S
FmE
4044 0 :M
f276 sf
( )S
4046 0 :M
FrMacBegin
B
0 FmP
F FmOP
208.542 50.167 M (1)S
FmE
4046 0 :M
f148 sf
( )S
4048 0 :M
FrMacBegin
B
0 FmP
F FmOP
212.542 47.667 M ( is recorded, and a message has arri)S
-0.251 N (v)S
-0.151 N (ed since )S
FmE
4049 0 :M
f203 sf
( )S
4051 0 :M
FrMacBegin
B
0 FmP
F FmOP
393.709 47.667 M (LS)S
FmE
4051 0 :M
f276 sf
( )S
4053 0 :M
FrMacBegin
B
0 FmP
F FmOP
404.268 50.167 M (1)S
FmE
4053 0 :M
f148 sf
( )S
4055 0 :M
FrMacBegin
B
0 FmP
F FmOP
408.268 47.667 M ( w)S
-0.1 N (as recorded, it records )S
42 61.5 M (the state of )S
FmE
4056 0 :M
f203 sf
( )S
4058 0 :M
FrMacBegin
B
0 FmP
F FmOP
88.367 61.5 M (C)S
FmE
4058 0 :M
f276 sf
( )S
4060 0 :M
FrMacBegin
B
0 FmP
F FmOP
95.037 64 M (21)S
FmE
4060 0 :M
f148 sf
( )S
4062 0 :M
FrMacBegin
B
0 FmP
F FmOP
103.037 61.5 M ( as containing that message.)S
FmE
4063 0 :M
f203 sf
( )S
4065 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 75.333 M (P)S
FmE
4065 0 :M
f276 sf
( )S
4067 0 :M
FrMacBegin
B
0 FmP
F FmOP
48.108 77.833 M (1)S
FmE
4067 0 :M
f148 sf
( )S
4069 0 :M
FrMacBegin
B
0 FmP
F FmOP
52.108 75.333 M ( recei)S
-0.251 N (v)S
-0.151 N (es mark)S
-0.1 N (er from )S
FmE
4070 0 :M
f203 sf
( )S
4072 0 :M
FrMacBegin
B
0 FmP
F FmOP
142.099 75.333 M (P)S
FmE
4072 0 :M
f276 sf
( )S
4074 0 :M
FrMacBegin
B
0 FmP
F FmOP
148.207 77.833 M (3)S
FmE
4074 0 :M
f148 sf
( )S
4076 0 :M
FrMacBegin
B
0 FmP
F FmOP
152.207 75.333 M ( on )S
FmE
4077 0 :M
f203 sf
( )S
4079 0 :M
FrMacBegin
B
0 FmP
F FmOP
167.207 75.333 M (C)S
FmE
4079 0 :M
f276 sf
( )S
4081 0 :M
FrMacBegin
B
0 FmP
F FmOP
173.877 77.833 M (31)S
FmE
4081 0 :M
f148 sf
( )S
4083 0 :M
FrMacBegin
B
0 FmP
F FmOP
181.877 75.333 M (; as )S
FmE
4084 0 :M
f203 sf
( )S
4086 0 :M
FrMacBegin
B
0 FmP
F FmOP
197.983 75.333 M (LS)S
FmE
4086 0 :M
f276 sf
( )S
4088 0 :M
FrMacBegin
B
0 FmP
F FmOP
208.542 77.833 M (1)S
FmE
4088 0 :M
f148 sf
( )S
4090 0 :M
FrMacBegin
B
0 FmP
F FmOP
212.542 75.333 M ( is recorded, it records the state of )S
FmE
4091 0 :M
f203 sf
( )S
4093 0 :M
FrMacBegin
B
0 FmP
F FmOP
350.525 75.333 M (C)S
FmE
4093 0 :M
f276 sf
( )S
4095 0 :M
FrMacBegin
B
0 FmP
F FmOP
357.195 77.833 M (31)S
FmE
4095 0 :M
f148 sf
( )S
4097 0 :M
FrMacBegin
B
0 FmP
F FmOP
365.195 75.333 M ( as empty)S
-0.652 N (.)S
FmE
4098 0 :M
f203 sf
( )S
4100 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 89.167 M (P)S
FmE
4100 0 :M
f276 sf
( )S
4102 0 :M
FrMacBegin
B
0 FmP
F FmOP
48.108 91.667 M (2)S
FmE
4102 0 :M
f148 sf
( )S
4104 0 :M
FrMacBegin
B
0 FmP
F FmOP
52.108 89.167 M ( recei)S
-0.251 N (v)S
-0.151 N (es mark)S
-0.1 N (er from )S
FmE
4105 0 :M
f203 sf
( )S
4107 0 :M
FrMacBegin
B
0 FmP
F FmOP
142.099 89.167 M (P)S
FmE
4107 0 :M
f276 sf
( )S
4109 0 :M
FrMacBegin
B
0 FmP
F FmOP
148.207 91.667 M (3)S
FmE
4109 0 :M
f148 sf
( )S
4111 0 :M
FrMacBegin
B
0 FmP
F FmOP
152.207 89.167 M ( on )S
FmE
4112 0 :M
f203 sf
( )S
4114 0 :M
FrMacBegin
B
0 FmP
F FmOP
167.207 89.167 M (C)S
FmE
4114 0 :M
f276 sf
( )S
4116 0 :M
FrMacBegin
B
0 FmP
F FmOP
173.877 91.667 M (32)S
FmE
4116 0 :M
f148 sf
( )S
4118 0 :M
FrMacBegin
B
0 FmP
F FmOP
181.877 89.167 M (; as )S
FmE
4119 0 :M
f203 sf
( )S
4121 0 :M
FrMacBegin
B
0 FmP
F FmOP
197.983 89.167 M (LS)S
FmE
4121 0 :M
f276 sf
( )S
4123 0 :M
FrMacBegin
B
0 FmP
F FmOP
208.542 91.667 M (2)S
FmE
4123 0 :M
f148 sf
( )S
4125 0 :M
FrMacBegin
B
0 FmP
F FmOP
212.542 89.167 M ( is recorded, it records the state of )S
FmE
4126 0 :M
f203 sf
( )S
4128 0 :M
FrMacBegin
B
0 FmP
F FmOP
350.525 89.167 M (C)S
FmE
4128 0 :M
f276 sf
( )S
4130 0 :M
FrMacBegin
B
0 FmP
F FmOP
357.195 91.667 M (32)S
FmE
4130 0 :M
f148 sf
( )S
4132 0 :M
FrMacBegin
B
0 FmP
F FmOP
365.195 89.167 M ( as empty)S
-0.652 N (.)S
FmE
4133 0 :M
f203 sf
( )S
4135 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 103 M (P)S
FmE
4135 0 :M
f276 sf
( )S
4137 0 :M
FrMacBegin
B
0 FmP
F FmOP
48.108 105.5 M (3)S
FmE
4137 0 :M
f148 sf
( )S
4139 0 :M
FrMacBegin
B
0 FmP
F FmOP
52.108 103 M ( recei)S
-0.251 N (v)S
-0.151 N (es mark)S
-0.1 N (er from )S
FmE
4140 0 :M
f203 sf
( )S
4142 0 :M
FrMacBegin
B
0 FmP
F FmOP
142.099 103 M (P)S
FmE
4142 0 :M
f276 sf
( )S
4144 0 :M
FrMacBegin
B
0 FmP
F FmOP
148.207 105.5 M (2)S
FmE
4144 0 :M
f148 sf
( )S
4146 0 :M
FrMacBegin
B
0 FmP
F FmOP
152.207 103 M ( on )S
FmE
4147 0 :M
f203 sf
( )S
4149 0 :M
FrMacBegin
B
0 FmP
F FmOP
167.207 103 M (C)S
FmE
4149 0 :M
f276 sf
( )S
4151 0 :M
FrMacBegin
B
0 FmP
F FmOP
173.877 105.5 M (23)S
FmE
4151 0 :M
f148 sf
( )S
4153 0 :M
FrMacBegin
B
0 FmP
F FmOP
181.877 103 M (; as )S
FmE
4154 0 :M
f203 sf
( )S
4156 0 :M
FrMacBegin
B
0 FmP
F FmOP
197.983 103 M (LS)S
FmE
4156 0 :M
f276 sf
( )S
4158 0 :M
FrMacBegin
B
0 FmP
F FmOP
208.542 105.5 M (3)S
FmE
4158 0 :M
f148 sf
( )S
4160 0 :M
FrMacBegin
B
0 FmP
F FmOP
212.542 103 M ( is recorded, it records the state of )S
FmE
4161 0 :M
f203 sf
( )S
4163 0 :M
FrMacBegin
B
0 FmP
F FmOP
350.525 103 M (C)S
FmE
4163 0 :M
f276 sf
( )S
4165 0 :M
FrMacBegin
B
0 FmP
F FmOP
357.195 105.5 M (23)S
FmE
4165 0 :M
f148 sf
( )S
4167 0 :M
FrMacBegin
B
0 FmP
F FmOP
365.195 103 M ( as empty)S
-0.652 N (.)S
FmE
endp
showpage
%%PageTrailer
%%Page: 10 10
%%PageProcessColors: Black
%%PageCustomColors: 
%%BeginPageSetup
initializepage
(The Bishops; page: 10 of 10)setjob
%%EndPageSetup
gS 0 0 552 728 rC
4168 0 :M
FrMacBegin
0 FmP
F FmOP
0 FmSP
FmE
42 14 468 14 rC
4168 0 :M
FrMacBegin
42 15 468 12 FmKp
B
0 FmP
F FmOP
42 16 FmB
468 0 FmL
2 1 FmSo
42 19 FmB
468 0 FmL
2 1 FmSo
FmE
gR
gS 0 0 552 728 rC
4168 0 :M
f148 sf
( )S
4170 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 11.667 M (February 17, 2000)S
112.359 N (ECS 251 \320 Winter 2000)S
154.015 N (Page )S
(10)S
157.278 725 M (Last modified at )S
(11:37 pm on Thursday, February 17, 2000)S
FmE
4171 0 :M
f175 sf
( )S
4175 0 :M
FrMacBegin
B
0 FmP
F FmOP
120.897 53 M (Huang\325)S
-0.668 N (s )S
-0.541 N (T)S
-1.657 N (ermination Detection Pr)S
-0.325 N (otocol)S
FmE
4175 0 :M
f263 sf
( )S
4178 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 85 M (Intr)S
-0.217 N (oduction)S
FmE
4178 0 :M
f148 sf
( )S
4180 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 102.667 M (The goal of this protocol is to detect when a distrib)S
-0.2 N (uted computation terminates.)S
FmE
4181 0 :M
f263 sf
( )S
4184 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 128 M (Notation)S
FmE
4184 0 :M
f148 sf
( )S
4186 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 145.667 M (\245)S
FmE
4186 0 :M
f203 sf
( )S
4188 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 145.667 M (n)S
FmE
4189 0 :M
f148 sf
( )S
4191 0 :M
FrMacBegin
B
0 FmP
F FmOP
65 145.667 M ( processes)S
42 160.667 M (\245)S
FmE
4191 0 :M
f203 sf
( )S
4193 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 160.667 M (P)S
FmE
4194 0 :M
f250 sf
( )S
4196 0 :M
FrMacBegin
B
0 FmP
F FmOP
66.108 163.167 M (i)S
FmE
4196 0 :M
f148 sf
( )S
4198 0 :M
FrMacBegin
B
0 FmP
F FmOP
68.331 160.667 M ( process; without loss of generality)S
-0.652 N (, let )S
FmE
4198 0 :M
f203 sf
( )S
4200 0 :M
FrMacBegin
B
0 FmP
F FmOP
224.852 160.667 M (P)S
FmE
4201 0 :M
f276 sf
( )S
4203 0 :M
FrMacBegin
B
0 FmP
F FmOP
230.96 163.167 M (0)S
FmE
4203 0 :M
f148 sf
( )S
4205 0 :M
FrMacBegin
B
0 FmP
F FmOP
234.96 160.667 M ( be the )S
FmE
4205 0 :M
f203 sf
( )S
4207 0 :M
FrMacBegin
B
0 FmP
F FmOP
264.116 160.667 M (contr)S
-0.452 N (olling a)S
-0.1 N (g)S
-0.1 N (ent)S
FmE
4208 0 :M
f148 sf
( )S
4210 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 177.5 M (\245)S
FmE
4210 0 :M
f203 sf
( )S
4212 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 177.5 M (W)S
FmE
4213 0 :M
f250 sf
( )S
4215 0 :M
FrMacBegin
B
0 FmP
F FmOP
67.886 180 M (i)S
FmE
4215 0 :M
f148 sf
( )S
4217 0 :M
FrMacBegin
B
0 FmP
F FmOP
70.109 177.5 M (. weight of process )S
FmE
4217 0 :M
f203 sf
( )S
4219 0 :M
FrMacBegin
B
0 FmP
F FmOP
148.134 177.5 M (P)S
FmE
4220 0 :M
f250 sf
( )S
4222 0 :M
FrMacBegin
B
0 FmP
F FmOP
154.242 180 M (i)S
FmE
4222 0 :M
f148 sf
( )S
4224 0 :M
FrMacBegin
B
0 FmP
F FmOP
156.465 177.5 M (; initially)S
-0.652 N (, )S
FmE
4224 0 :M
f203 sf
( )S
4226 0 :M
FrMacBegin
B
0 FmP
F FmOP
196.799 177.5 M (W)S
FmE
4227 0 :M
f276 sf
( )S
4229 0 :M
FrMacBegin
B
0 FmP
F FmOP
205.127 180 M (0)S
FmE
4229 0 :M
f148 sf
( )S
4231 0 :M
FrMacBegin
B
0 FmP
F FmOP
209.127 177.5 M ( = 1 and for all other )S
FmE
4231 0 :M
f203 sf
( )S
4233 0 :M
FrMacBegin
B
0 FmP
F FmOP
293.9 177.5 M (i)S
FmE
4234 0 :M
f148 sf
( )S
4236 0 :M
FrMacBegin
B
0 FmP
F FmOP
296.678 177.5 M (, )S
FmE
4236 0 :M
f203 sf
( )S
4238 0 :M
FrMacBegin
B
0 FmP
F FmOP
301.278 177.5 M (W)S
FmE
4239 0 :M
f250 sf
( )S
4241 0 :M
FrMacBegin
B
0 FmP
F FmOP
309.164 180 M (i)S
FmE
4241 0 :M
f148 sf
( )S
4243 0 :M
FrMacBegin
B
0 FmP
F FmOP
311.387 177.5 M ( = 0.)S
42 194.333 M (\245)S
FmE
4243 0 :M
f203 sf
( )S
4245 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 194.333 M (B)S
FmE
4246 0 :M
f148 sf
( )S
4248 0 :M
FrMacBegin
B
0 FmP
F FmOP
66.108 194.333 M (\()S
FmE
4248 0 :M
f203 sf
( )S
4250 0 :M
FrMacBegin
B
0 FmP
F FmOP
69.436 194.333 M (W)S
FmE
4251 0 :M
f148 sf
( )S
4253 0 :M
FrMacBegin
B
0 FmP
F FmOP
77.764 194.333 M (\) computation message with assigned weight )S
FmE
4253 0 :M
f203 sf
( )S
4255 0 :M
FrMacBegin
B
0 FmP
F FmOP
258.977 194.333 M (W)S
FmE
4256 0 :M
f148 sf
( )S
4258 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 209.333 M (\245)S
FmE
4258 0 :M
f203 sf
( )S
4260 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 209.333 M (C)S
FmE
4261 0 :M
f148 sf
( )S
4263 0 :M
FrMacBegin
B
0 FmP
F FmOP
66.67 209.333 M (\()S
FmE
4263 0 :M
f203 sf
( )S
4265 0 :M
FrMacBegin
B
0 FmP
F FmOP
69.998 209.333 M (W)S
FmE
4266 0 :M
f148 sf
( )S
4268 0 :M
FrMacBegin
B
0 FmP
F FmOP
78.325 209.333 M (\) control message sent from process to controlling agent with assigned weight )S
FmE
4268 0 :M
f203 sf
( )S
4270 0 :M
FrMacBegin
B
0 FmP
F FmOP
391.707 209.333 M (W)S
FmE
4271 0 :M
f263 sf
( )S
4274 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 234.667 M (Pr)S
-0.217 N (otocol)S
FmE
4274 0 :M
f319 sf
( )S
4276 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 252.333 M (P)S
FmE
4276 0 :M
f332 sf
( )S
4278 0 :M
FrMacBegin
B
0 FmP
F FmOP
48.108 254.833 M (i)S
FmE
4278 0 :M
f345 sf
( )S
4280 0 :M
FrMacBegin
B
0 FmP
F FmOP
50.331 252.333 M ( sends a computation message to )S
FmE
4281 0 :M
f319 sf
( )S
4283 0 :M
FrMacBegin
B
0 FmP
F FmOP
190.854 252.333 M (P)S
FmE
4283 0 :M
f332 sf
( )S
4285 0 :M
FrMacBegin
B
0 FmP
F FmOP
196.962 254.833 M (j)S
FmE
4285 0 :M
f148 sf
( )S
4287 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 266.166 M (1.)S
10.5 N (Set )S
FmE
4288 0 :M
f203 sf
( )S
4290 0 :M
FrMacBegin
B
0 FmP
F FmOP
74.875 266.166 M (W)S
FmE
4290 0 :M
f250 sf
( )S
4292 0 :M
FrMacBegin
B
0 FmP
F FmOP
82.762 268.666 M (i)S
FmE
4292 0 :M
f148 sf
( )S
4294 0 :M
FrMacBegin
B
0 FmP
F FmOP
84.984 266.166 M (\325)S
-0.742 N ( and )S
FmE
4295 0 :M
f203 sf
( )S
4297 0 :M
FrMacBegin
B
0 FmP
F FmOP
106.608 266.166 M (W)S
FmE
4297 0 :M
f250 sf
( )S
4299 0 :M
FrMacBegin
B
0 FmP
F FmOP
114.936 268.666 M (j)S
FmE
4299 0 :M
f148 sf
( )S
4301 0 :M
FrMacBegin
B
0 FmP
F FmOP
117.158 266.166 M ( to v)S
-0.251 N (alues such that )S
FmE
4302 0 :M
f203 sf
( )S
4304 0 :M
FrMacBegin
B
0 FmP
F FmOP
195.652 266.166 M (W)S
FmE
4304 0 :M
f250 sf
( )S
4306 0 :M
FrMacBegin
B
0 FmP
F FmOP
203.538 268.666 M (i)S
FmE
4306 0 :M
f148 sf
( )S
4308 0 :M
FrMacBegin
B
0 FmP
F FmOP
205.761 266.166 M (\325)S
-0.742 N ( + )S
FmE
4309 0 :M
f203 sf
( )S
4311 0 :M
FrMacBegin
B
0 FmP
F FmOP
218.585 266.166 M (W)S
FmE
4311 0 :M
f250 sf
( )S
4313 0 :M
FrMacBegin
B
0 FmP
F FmOP
226.913 268.666 M (j)S
FmE
4313 0 :M
f148 sf
( )S
4315 0 :M
FrMacBegin
B
0 FmP
F FmOP
229.136 266.166 M ( = )S
FmE
4316 0 :M
f203 sf
( )S
4318 0 :M
FrMacBegin
B
0 FmP
F FmOP
239.375 266.166 M (W)S
FmE
4318 0 :M
f250 sf
( )S
4320 0 :M
FrMacBegin
B
0 FmP
F FmOP
247.261 268.666 M (i)S
FmE
4320 0 :M
f148 sf
( )S
4322 0 :M
FrMacBegin
B
0 FmP
F FmOP
249.484 266.166 M (, )S
FmE
4323 0 :M
f203 sf
( )S
4325 0 :M
FrMacBegin
B
0 FmP
F FmOP
254.084 266.166 M (W)S
FmE
4325 0 :M
f250 sf
( )S
4327 0 :M
FrMacBegin
B
0 FmP
F FmOP
261.97 268.666 M (i)S
FmE
4327 0 :M
f148 sf
( )S
4329 0 :M
FrMacBegin
B
0 FmP
F FmOP
264.192 266.166 M ( > 0, )S
FmE
4330 0 :M
f203 sf
( )S
4332 0 :M
FrMacBegin
B
0 FmP
F FmOP
284.432 266.166 M (W)S
FmE
4332 0 :M
f250 sf
( )S
4334 0 :M
FrMacBegin
B
0 FmP
F FmOP
292.759 268.666 M (j)S
FmE
4334 0 :M
f148 sf
( )S
4336 0 :M
FrMacBegin
B
0 FmP
F FmOP
294.982 266.166 M ( > 0. \()S
FmE
4337 0 :M
f203 sf
( )S
4339 0 :M
FrMacBegin
B
0 FmP
F FmOP
318.949 266.166 M (W)S
FmE
4339 0 :M
f250 sf
( )S
4341 0 :M
FrMacBegin
B
0 FmP
F FmOP
326.836 268.666 M (i)S
FmE
4341 0 :M
f148 sf
( )S
4343 0 :M
FrMacBegin
B
0 FmP
F FmOP
329.058 266.166 M (\325)S
-0.742 N ( is the ne)S
-0.251 N (w weight of )S
FmE
4344 0 :M
f203 sf
( )S
4346 0 :M
FrMacBegin
B
0 FmP
F FmOP
417.476 266.166 M (P)S
FmE
4346 0 :M
f250 sf
( )S
4348 0 :M
FrMacBegin
B
0 FmP
F FmOP
423.585 268.666 M (i)S
FmE
4348 0 :M
f148 sf
( )S
4350 0 :M
FrMacBegin
B
0 FmP
F FmOP
425.807 266.166 M (.\))S
42 280.3 M (2.)S
10.5 N (Send )S
FmE
4351 0 :M
f203 sf
( )S
4353 0 :M
FrMacBegin
B
0 FmP
F FmOP
82.498 280.3 M (B)S
FmE
4353 0 :M
f148 sf
( )S
4355 0 :M
FrMacBegin
B
0 FmP
F FmOP
88.606 280.3 M (\()S
FmE
4356 0 :M
f203 sf
( )S
4358 0 :M
FrMacBegin
B
0 FmP
F FmOP
91.934 280.3 M (W)S
FmE
4358 0 :M
f250 sf
( )S
4360 0 :M
FrMacBegin
B
0 FmP
F FmOP
100.261 282.8 M (j)S
FmE
4360 0 :M
f148 sf
( )S
4362 0 :M
FrMacBegin
B
0 FmP
F FmOP
102.484 280.3 M (\) to )S
FmE
4363 0 :M
f203 sf
( )S
4365 0 :M
FrMacBegin
B
0 FmP
F FmOP
118.59 280.3 M (P)S
FmE
4365 0 :M
f250 sf
( )S
4367 0 :M
FrMacBegin
B
0 FmP
F FmOP
124.698 282.8 M (j)S
FmE
4367 0 :M
f319 sf
( )S
4369 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 294.433 M (P)S
FmE
4370 0 :M
f332 sf
( )S
4372 0 :M
FrMacBegin
B
0 FmP
F FmOP
48.108 296.933 M (j)S
FmE
4372 0 :M
f345 sf
( )S
4374 0 :M
FrMacBegin
B
0 FmP
F FmOP
50.331 294.433 M ( r)S
-0.181 N (ecei)S
-0.1 N (v)S
-0.1 N (es a computation message )S
FmE
4374 0 :M
f319 sf
( )S
4376 0 :M
FrMacBegin
B
0 FmP
F FmOP
190.17 294.433 M (B)S
FmE
4377 0 :M
f345 sf
( )S
4379 0 :M
FrMacBegin
B
0 FmP
F FmOP
196.84 294.433 M (\()S
FmE
4379 0 :M
f319 sf
( )S
4381 0 :M
FrMacBegin
B
0 FmP
F FmOP
200.167 294.433 M (W)S
FmE
4382 0 :M
f345 sf
( )S
4384 0 :M
FrMacBegin
B
0 FmP
F FmOP
209.057 294.433 M (\) fr)S
-0.181 N (om )S
FmE
4384 0 :M
f319 sf
( )S
4386 0 :M
FrMacBegin
B
0 FmP
F FmOP
238.297 294.433 M (P)S
FmE
4387 0 :M
f332 sf
( )S
4389 0 :M
FrMacBegin
B
0 FmP
F FmOP
244.406 296.933 M (i)S
FmE
4389 0 :M
f148 sf
( )S
4391 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 308.266 M (1.)S
FmE
4391 0 :M
f203 sf
( )S
4393 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 308.266 M (W)S
FmE
4394 0 :M
f250 sf
( )S
4396 0 :M
FrMacBegin
B
0 FmP
F FmOP
68.328 310.766 M (j)S
FmE
4396 0 :M
f148 sf
( )S
4398 0 :M
FrMacBegin
B
0 FmP
F FmOP
70.55 308.266 M ( = )S
FmE
4398 0 :M
f203 sf
( )S
4400 0 :M
FrMacBegin
B
0 FmP
F FmOP
80.79 308.266 M (W)S
FmE
4401 0 :M
f250 sf
( )S
4403 0 :M
FrMacBegin
B
0 FmP
F FmOP
89.117 310.766 M (j)S
FmE
4403 0 :M
f148 sf
( )S
4405 0 :M
FrMacBegin
B
0 FmP
F FmOP
91.34 308.266 M ( + )S
FmE
4405 0 :M
f203 sf
( )S
4407 0 :M
FrMacBegin
B
0 FmP
F FmOP
101.579 308.266 M (W)S
FmE
4408 0 :M
f148 sf
( )S
4410 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 322.4 M (2.)S
10.5 N (If )S
FmE
4410 0 :M
f203 sf
( )S
4412 0 :M
FrMacBegin
B
0 FmP
F FmOP
69.155 322.4 M (P)S
FmE
4413 0 :M
f250 sf
( )S
4415 0 :M
FrMacBegin
B
0 FmP
F FmOP
75.264 324.9 M (j)S
FmE
4415 0 :M
f148 sf
( )S
4417 0 :M
FrMacBegin
B
0 FmP
F FmOP
77.486 322.4 M ( is idle, )S
FmE
4417 0 :M
f203 sf
( )S
4419 0 :M
FrMacBegin
B
0 FmP
F FmOP
109.149 322.4 M (P)S
FmE
4420 0 :M
f250 sf
( )S
4422 0 :M
FrMacBegin
B
0 FmP
F FmOP
115.257 324.9 M (j)S
FmE
4422 0 :M
f148 sf
( )S
4424 0 :M
FrMacBegin
B
0 FmP
F FmOP
117.48 322.4 M ( becomes acti)S
-0.251 N (v)S
-0.151 N (e)S
FmE
4424 0 :M
f319 sf
( )S
4426 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 336.533 M (P)S
FmE
4427 0 :M
f332 sf
( )S
4429 0 :M
FrMacBegin
B
0 FmP
F FmOP
48.108 339.033 M (i)S
FmE
4429 0 :M
f345 sf
( )S
4431 0 :M
FrMacBegin
B
0 FmP
F FmOP
50.331 336.533 M ( becomes idle:)S
FmE
4431 0 :M
f148 sf
( )S
4433 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 350.366 M (1.)S
10.5 N (Send )S
FmE
4434 0 :M
f203 sf
( )S
4436 0 :M
FrMacBegin
B
0 FmP
F FmOP
82.498 350.366 M (C)S
FmE
4436 0 :M
f148 sf
( )S
4438 0 :M
FrMacBegin
B
0 FmP
F FmOP
89.167 350.366 M (\()S
FmE
4439 0 :M
f203 sf
( )S
4441 0 :M
FrMacBegin
B
0 FmP
F FmOP
92.495 350.366 M (W)S
FmE
4441 0 :M
f250 sf
( )S
4443 0 :M
FrMacBegin
B
0 FmP
F FmOP
100.381 352.866 M (i)S
FmE
4443 0 :M
f148 sf
( )S
4445 0 :M
FrMacBegin
B
0 FmP
F FmOP
102.604 350.366 M (\) to )S
FmE
4446 0 :M
f203 sf
( )S
4448 0 :M
FrMacBegin
B
0 FmP
F FmOP
118.71 350.366 M (P)S
FmE
4448 0 :M
f276 sf
( )S
4450 0 :M
FrMacBegin
B
0 FmP
F FmOP
124.818 352.866 M (0)S
FmE
4450 0 :M
f148 sf
( )S
4452 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 364.499 M (2.)S
FmE
4453 0 :M
f203 sf
( )S
4455 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 364.499 M (W)S
FmE
4455 0 :M
f250 sf
( )S
4457 0 :M
FrMacBegin
B
0 FmP
F FmOP
67.886 366.999 M (i)S
FmE
4457 0 :M
f148 sf
( )S
4459 0 :M
FrMacBegin
B
0 FmP
F FmOP
70.109 364.499 M ( = 0)S
42 378.633 M (3.)S
FmE
4460 0 :M
f203 sf
( )S
4462 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 378.633 M (P)S
FmE
4462 0 :M
f250 sf
( )S
4464 0 :M
FrMacBegin
B
0 FmP
F FmOP
66.108 381.133 M (i)S
FmE
4464 0 :M
f148 sf
( )S
4466 0 :M
FrMacBegin
B
0 FmP
F FmOP
68.331 378.633 M ( becomes idle)S
FmE
4467 0 :M
f319 sf
( )S
4469 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 392.766 M (P)S
FmE
4469 0 :M
f332 sf
( )S
4471 0 :M
FrMacBegin
B
0 FmP
F FmOP
48.108 395.266 M (i)S
FmE
4471 0 :M
f345 sf
( )S
4473 0 :M
FrMacBegin
B
0 FmP
F FmOP
50.331 392.766 M ( r)S
-0.181 N (ecei)S
-0.1 N (v)S
-0.1 N (es a contr)S
-0.181 N (ol message )S
FmE
4474 0 :M
f319 sf
( )S
4476 0 :M
FrMacBegin
B
0 FmP
F FmOP
166.654 392.766 M (C)S
FmE
4476 0 :M
f345 sf
( )S
4478 0 :M
FrMacBegin
B
0 FmP
F FmOP
173.324 392.766 M (\()S
FmE
4479 0 :M
f319 sf
( )S
4481 0 :M
FrMacBegin
B
0 FmP
F FmOP
176.652 392.766 M (W)S
FmE
4481 0 :M
f345 sf
( )S
4483 0 :M
FrMacBegin
B
0 FmP
F FmOP
185.541 392.766 M (\):)S
FmE
4484 0 :M
f148 sf
( )S
4486 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 406.599 M (1.)S
FmE
4486 0 :M
f203 sf
( )S
4488 0 :M
FrMacBegin
B
0 FmP
F FmOP
60 406.599 M (W)S
FmE
4489 0 :M
f250 sf
( )S
4491 0 :M
FrMacBegin
B
0 FmP
F FmOP
67.886 409.099 M (i)S
FmE
4491 0 :M
f148 sf
( )S
4493 0 :M
FrMacBegin
B
0 FmP
F FmOP
70.109 406.599 M ( = )S
FmE
4493 0 :M
f203 sf
( )S
4495 0 :M
FrMacBegin
B
0 FmP
F FmOP
80.348 406.599 M (W)S
FmE
4496 0 :M
f250 sf
( )S
4498 0 :M
FrMacBegin
B
0 FmP
F FmOP
88.234 409.099 M (i)S
FmE
4498 0 :M
f148 sf
( )S
4500 0 :M
FrMacBegin
B
0 FmP
F FmOP
90.457 406.599 M ( + )S
FmE
4500 0 :M
f203 sf
( )S
4502 0 :M
FrMacBegin
B
0 FmP
F FmOP
100.696 406.599 M (W)S
FmE
4503 0 :M
f148 sf
( )S
4505 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 420.732 M (2.)S
10.5 N (If )S
FmE
4505 0 :M
f203 sf
( )S
4507 0 :M
FrMacBegin
B
0 FmP
F FmOP
68.755 420.732 M (W)S
FmE
4508 0 :M
f250 sf
( )S
4510 0 :M
FrMacBegin
B
0 FmP
F FmOP
76.641 423.232 M (i)S
FmE
4510 0 :M
f148 sf
( )S
4512 0 :M
FrMacBegin
B
0 FmP
F FmOP
78.864 420.732 M ( = 1, the computation has completed.)S
FmE
4512 0 :M
f263 sf
( )S
4515 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 447.899 M (Example)S
FmE
4515 0 :M
f148 sf
( )S
4517 0 :M
FrMacBegin
B
0 FmP
F FmOP
217.992 465.566 M (The picture sho)S
-0.251 N (ws a process )S
FmE
4518 0 :M
f203 sf
( )S
4520 0 :M
FrMacBegin
B
0 FmP
F FmOP
332.968 465.566 M (P)S
FmE
4520 0 :M
f276 sf
( )S
4522 0 :M
FrMacBegin
B
0 FmP
F FmOP
339.076 468.066 M (0)S
FmE
4522 0 :M
f148 sf
( )S
4524 0 :M
FrMacBegin
B
0 FmP
F FmOP
343.076 465.566 M (, designated the )S
FmE
4525 0 :M
f203 sf
( )S
4527 0 :M
FrMacBegin
B
0 FmP
F FmOP
408.054 465.566 M (contr)S
-0.452 N (olling a)S
-0.1 N (g)S
-0.1 N (ent)S
FmE
4527 0 :M
f148 sf
( )S
4529 0 :M
FrMacBegin
B
0 FmP
F FmOP
476.56 465.566 M (, with )S
FmE
4530 0 :M
f203 sf
( )S
4532 0 :M
FrMacBegin
B
0 FmP
F FmOP
217.992 479.399 M (W)S
FmE
4532 0 :M
f276 sf
( )S
4534 0 :M
FrMacBegin
B
0 FmP
F FmOP
226.32 481.899 M (0)S
FmE
4534 0 :M
f148 sf
( )S
4536 0 :M
FrMacBegin
B
0 FmP
F FmOP
230.32 479.399 M -0.307( = 1. It asks )W
FmE
4537 0 :M
f203 sf
( )S
4539 0 :M
FrMacBegin
B
0 FmP
F FmOP
277.749 479.399 M (P)S
FmE
4539 0 :M
f276 sf
( )S
4541 0 :M
FrMacBegin
B
0 FmP
F FmOP
283.858 481.899 M (1)S
FmE
4541 0 :M
f148 sf
( )S
4543 0 :M
FrMacBegin
B
0 FmP
F FmOP
287.858 479.399 M -0.307( and )W
FmE
4544 0 :M
f203 sf
( )S
4546 0 :M
FrMacBegin
B
0 FmP
F FmOP
306.683 479.399 M (P)S
FmE
4546 0 :M
f276 sf
( )S
4548 0 :M
FrMacBegin
B
0 FmP
F FmOP
312.791 481.899 M (2)S
FmE
4548 0 :M
f148 sf
( )S
4550 0 :M
FrMacBegin
B
0 FmP
F FmOP
316.791 479.399 M -0.307( to do some computation.)W
-0.307( It sets )W
FmE
4551 0 :M
f203 sf
( )S
4553 0 :M
FrMacBegin
B
0 FmP
F FmOP
444.221 479.399 M (W)S
FmE
4553 0 :M
f276 sf
( )S
4555 0 :M
FrMacBegin
B
0 FmP
F FmOP
452.548 481.899 M (1)S
FmE
4555 0 :M
f148 sf
( )S
4557 0 :M
FrMacBegin
B
0 FmP
F FmOP
456.548 479.399 M -0.307( to 0.2, )W
FmE
4558 0 :M
f203 sf
( )S
4560 0 :M
FrMacBegin
B
0 FmP
F FmOP
485.507 479.399 M (W)S
FmE
4560 0 :M
f276 sf
( )S
4562 0 :M
FrMacBegin
B
0 FmP
F FmOP
493.834 481.899 M (2)S
FmE
4562 0 :M
f148 sf
( )S
4564 0 :M
FrMacBegin
B
0 FmP
F FmOP
497.834 479.399 M -0.307( to )W
217.992 493.232 M -0.11(0.3, and )W
FmE
4565 0 :M
f203 sf
( )S
4567 0 :M
FrMacBegin
B
0 FmP
F FmOP
251.81 493.232 M (W)S
FmE
4567 0 :M
f276 sf
( )S
4569 0 :M
FrMacBegin
B
0 FmP
F FmOP
260.138 495.732 M (3)S
FmE
4569 0 :M
f148 sf
( )S
4571 0 :M
FrMacBegin
B
0 FmP
F FmOP
264.138 493.232 M -0.11( to 0.5. )W
FmE
4572 0 :M
f203 sf
( )S
4574 0 :M
FrMacBegin
B
0 FmP
F FmOP
294.086 493.232 M (P)S
FmE
4574 0 :M
f276 sf
( )S
4576 0 :M
FrMacBegin
B
0 FmP
F FmOP
300.194 495.732 M (2)S
FmE
4576 0 :M
f148 sf
( )S
4578 0 :M
FrMacBegin
B
0 FmP
F FmOP
304.194 493.232 M -0.11( in turn asks )W
FmE
4579 0 :M
f203 sf
( )S
4581 0 :M
FrMacBegin
B
0 FmP
F FmOP
354.855 493.232 M (P)S
FmE
4581 0 :M
f276 sf
( )S
4583 0 :M
FrMacBegin
B
0 FmP
F FmOP
360.963 495.732 M (3)S
FmE
4583 0 :M
f148 sf
( )S
4585 0 :M
FrMacBegin
B
0 FmP
F FmOP
364.963 493.232 M -0.11( and )W
FmE
4586 0 :M
f203 sf
( )S
4588 0 :M
FrMacBegin
B
0 FmP
F FmOP
384.182 493.232 M (P)S
FmE
4588 0 :M
f276 sf
( )S
4590 0 :M
FrMacBegin
B
0 FmP
F FmOP
390.29 495.732 M (4)S
FmE
4590 0 :M
f148 sf
( )S
4592 0 :M
FrMacBegin
B
0 FmP
F FmOP
394.29 493.232 M -0.11( to do some computations. It )W
217.992 507.066 M (sets )S
FmE
4593 0 :M
f203 sf
( )S
4595 0 :M
FrMacBegin
B
0 FmP
F FmOP
235.087 507.066 M (W)S
FmE
4595 0 :M
f276 sf
( )S
4597 0 :M
FrMacBegin
B
0 FmP
F FmOP
243.414 509.566 M (3)S
FmE
4597 0 :M
f148 sf
( )S
4599 0 :M
FrMacBegin
B
0 FmP
F FmOP
247.414 507.066 M ( to 0.1 and )S
FmE
4600 0 :M
f203 sf
( )S
4602 0 :M
FrMacBegin
B
0 FmP
F FmOP
291.731 507.066 M (W)S
FmE
4602 0 :M
f276 sf
( )S
4604 0 :M
FrMacBegin
B
0 FmP
F FmOP
300.058 509.566 M (4)S
FmE
4604 0 :M
f148 sf
( )S
4606 0 :M
FrMacBegin
B
0 FmP
F FmOP
304.058 507.066 M ( to 0.1.)S
217.992 520.899 M -0.196(When )W
FmE
4607 0 :M
f203 sf
( )S
4609 0 :M
FrMacBegin
B
0 FmP
F FmOP
244.173 520.899 M (P)S
FmE
4609 0 :M
f276 sf
( )S
4611 0 :M
FrMacBegin
B
0 FmP
F FmOP
250.281 523.399 M (3)S
FmE
4611 0 :M
f148 sf
( )S
4613 0 :M
FrMacBegin
B
0 FmP
F FmOP
254.281 520.899 M -0.196( terminates, it sends C\()W
FmE
4614 0 :M
f203 sf
( )S
4616 0 :M
FrMacBegin
B
0 FmP
F FmOP
345.413 520.899 M (W)S
FmE
4616 0 :M
f276 sf
( )S
4618 0 :M
FrMacBegin
B
0 FmP
F FmOP
353.74 523.399 M (3)S
FmE
4618 0 :M
f148 sf
( )S
4620 0 :M
FrMacBegin
B
0 FmP
F FmOP
357.74 520.899 M -0.196(\) = C\(0.1\) to )W
FmE
4621 0 :M
f203 sf
( )S
4623 0 :M
FrMacBegin
B
0 FmP
F FmOP
409.526 520.899 M (P)S
FmE
4623 0 :M
f276 sf
( )S
4625 0 :M
FrMacBegin
B
0 FmP
F FmOP
415.635 523.399 M (2)S
FmE
4625 0 :M
f148 sf
( )S
4627 0 :M
FrMacBegin
B
0 FmP
F FmOP
419.635 520.899 M -0.196(, which changes )W
FmE
4628 0 :M
f203 sf
( )S
4630 0 :M
FrMacBegin
B
0 FmP
F FmOP
485.286 520.899 M (W)S
FmE
4630 0 :M
f276 sf
( )S
4632 0 :M
FrMacBegin
B
0 FmP
F FmOP
493.614 523.399 M (2)S
FmE
4632 0 :M
f148 sf
( )S
4634 0 :M
FrMacBegin
B
0 FmP
F FmOP
497.614 520.899 M -0.196( to )W
217.992 534.732 M (0.1 + 0.1 = 0.2.)S
217.992 546.732 M -0.196(When )W
FmE
4635 0 :M
f203 sf
( )S
4637 0 :M
FrMacBegin
B
0 FmP
F FmOP
244.173 546.732 M (P)S
FmE
4637 0 :M
f276 sf
( )S
4639 0 :M
FrMacBegin
B
0 FmP
F FmOP
250.281 549.232 M (2)S
FmE
4639 0 :M
f148 sf
( )S
4641 0 :M
FrMacBegin
B
0 FmP
F FmOP
254.281 546.732 M -0.196( terminates, it sends C\()W
FmE
4642 0 :M
f203 sf
( )S
4644 0 :M
FrMacBegin
B
0 FmP
F FmOP
345.413 546.732 M (W)S
FmE
4644 0 :M
f276 sf
( )S
4646 0 :M
FrMacBegin
B
0 FmP
F FmOP
353.74 549.232 M (2)S
FmE
4646 0 :M
f148 sf
( )S
4648 0 :M
FrMacBegin
B
0 FmP
F FmOP
357.74 546.732 M -0.196(\) = C\(0.2\) to )W
FmE
4649 0 :M
f203 sf
( )S
4651 0 :M
FrMacBegin
B
0 FmP
F FmOP
409.526 546.732 M (P)S
FmE
4651 0 :M
f276 sf
( )S
4653 0 :M
FrMacBegin
B
0 FmP
F FmOP
415.635 549.232 M (0)S
FmE
4653 0 :M
f148 sf
( )S
4655 0 :M
FrMacBegin
B
0 FmP
F FmOP
419.635 546.732 M -0.196(, which changes )W
FmE
4656 0 :M
f203 sf
( )S
4658 0 :M
FrMacBegin
B
0 FmP
F FmOP
485.286 546.732 M (W)S
FmE
4658 0 :M
f276 sf
( )S
4660 0 :M
FrMacBegin
B
0 FmP
F FmOP
493.614 549.232 M (0)S
FmE
4660 0 :M
f148 sf
( )S
4662 0 :M
FrMacBegin
B
0 FmP
F FmOP
497.614 546.732 M -0.196( to )W
217.992 560.565 M (0.5 + 0.2 = 0.7.)S
217.992 572.565 M -0.196(When )W
FmE
4663 0 :M
f203 sf
( )S
4665 0 :M
FrMacBegin
B
0 FmP
F FmOP
244.173 572.565 M (P)S
FmE
4665 0 :M
f276 sf
( )S
4667 0 :M
FrMacBegin
B
0 FmP
F FmOP
250.281 575.065 M (4)S
FmE
4667 0 :M
f148 sf
( )S
4669 0 :M
FrMacBegin
B
0 FmP
F FmOP
254.281 572.565 M -0.196( terminates, it sends C\()W
FmE
4670 0 :M
f203 sf
( )S
4672 0 :M
FrMacBegin
B
0 FmP
F FmOP
345.413 572.565 M (W)S
FmE
4672 0 :M
f276 sf
( )S
4674 0 :M
FrMacBegin
B
0 FmP
F FmOP
353.74 575.065 M (4)S
FmE
4674 0 :M
f148 sf
( )S
4676 0 :M
FrMacBegin
B
0 FmP
F FmOP
357.74 572.565 M -0.196(\) = C\(0.1\) to )W
FmE
4677 0 :M
f203 sf
( )S
4679 0 :M
FrMacBegin
B
0 FmP
F FmOP
409.526 572.565 M (P)S
FmE
4679 0 :M
f276 sf
( )S
4681 0 :M
FrMacBegin
B
0 FmP
F FmOP
415.635 575.065 M (0)S
FmE
4681 0 :M
f148 sf
( )S
4683 0 :M
FrMacBegin
B
0 FmP
F FmOP
419.635 572.565 M -0.196(, which changes )W
FmE
4684 0 :M
f203 sf
( )S
4686 0 :M
FrMacBegin
B
0 FmP
F FmOP
485.286 572.565 M (W)S
FmE
4686 0 :M
f276 sf
( )S
4688 0 :M
FrMacBegin
B
0 FmP
F FmOP
493.614 575.065 M (0)S
FmE
4688 0 :M
f148 sf
( )S
4690 0 :M
FrMacBegin
B
0 FmP
F FmOP
497.614 572.565 M -0.196( to )W
217.992 586.399 M (0.7 + 0.1 = 0.8.)S
217.992 598.399 M -0.196(When )W
FmE
4691 0 :M
f203 sf
( )S
4693 0 :M
FrMacBegin
B
0 FmP
F FmOP
244.173 598.399 M (P)S
FmE
4693 0 :M
f276 sf
( )S
4695 0 :M
FrMacBegin
B
0 FmP
F FmOP
250.281 600.899 M (1)S
FmE
4695 0 :M
f148 sf
( )S
4697 0 :M
FrMacBegin
B
0 FmP
F FmOP
254.281 598.399 M -0.196( terminates, it sends C\()W
FmE
4698 0 :M
f203 sf
( )S
4700 0 :M
FrMacBegin
B
0 FmP
F FmOP
345.413 598.399 M (W)S
FmE
4700 0 :M
f276 sf
( )S
4702 0 :M
FrMacBegin
B
0 FmP
F FmOP
353.74 600.899 M (1)S
FmE
4702 0 :M
f148 sf
( )S
4704 0 :M
FrMacBegin
B
0 FmP
F FmOP
357.74 598.399 M -0.196(\) = C\(0.2\) to )W
FmE
4705 0 :M
f203 sf
( )S
4707 0 :M
FrMacBegin
B
0 FmP
F FmOP
409.526 598.399 M (P)S
FmE
4707 0 :M
f276 sf
( )S
4709 0 :M
FrMacBegin
B
0 FmP
F FmOP
415.635 600.899 M (0)S
FmE
4709 0 :M
f148 sf
( )S
4711 0 :M
FrMacBegin
B
0 FmP
F FmOP
419.635 598.399 M -0.196(, which changes )W
FmE
4712 0 :M
f203 sf
( )S
4714 0 :M
FrMacBegin
B
0 FmP
F FmOP
485.286 598.399 M (W)S
FmE
4714 0 :M
f276 sf
( )S
4716 0 :M
FrMacBegin
B
0 FmP
F FmOP
493.614 600.899 M (0)S
FmE
4716 0 :M
f148 sf
( )S
4718 0 :M
FrMacBegin
B
0 FmP
F FmOP
497.614 598.399 M -0.196( to )W
217.992 612.232 M (0.8 + 0.2 = 1.)S
FmE
4719 0 :M
f203 sf
( )S
4721 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 624.232 M (P)S
FmE
4721 0 :M
f276 sf
( )S
4723 0 :M
FrMacBegin
B
0 FmP
F FmOP
48.108 626.732 M (0)S
FmE
4723 0 :M
f148 sf
( )S
4725 0 :M
FrMacBegin
B
0 FmP
F FmOP
52.108 624.232 M ( thereupon concludes that the computation is \336)S
(nished.)S
42 638.065 M (T)S
-0.801 N (otal number of messages passed: 8 \(one to start each computation, one to return the weight\).)S
FmE
42 458 170 145 rC
4726 0 :M
FrMacBegin
42 458.899 169.992 144 FmKp
B
0 FmP
F FmOP
0 360 5 4.667 0 T 59.667 509.333 FmAF
T 0 360 5 4.667 0 59.667 509.333 2 1 [7.401 7.401 ]0 T FmAP
0 360 5 4.667 0 T 111 482 FmAF
T 0 360 5 4.667 0 111 482 2 1 [7.401 7.401 ]0 T FmAP
0 360 5 4.667 0 T 109 537.333 FmAF
T 0 360 5 4.667 0 109 537.333 2 1 [7.401 7.401 ]0 T FmAP
0 360 5 4.667 0 T 159.667 512 FmAF
T 0 360 5 4.667 0 159.667 512 2 1 [7.401 7.401 ]0 T FmAP
0 360 5 4.667 0 T 158.333 563.333 FmAF
T 0 360 5 4.667 0 158.333 563.333 2 1 [7.401 7.401 ]0 T FmAP
93.667 527.882 FmB
1.609 -3.076 FmL
9.117 8.686 FmL
-12.335 -2.535 FmL
1 FmS
93.667 527.882 FmB
1.609 -3.076 FmL
9.117 8.686 FmL
-12.335 -2.535 FmL
FmFl
62.667 511.667 FmB
30.557 15.984 FmL
2 1 FmSo
143 553.882 FmB
1.609 -3.076 FmL
9.117 8.686 FmL
-12.335 -2.535 FmL
1 FmS
143 553.882 FmB
1.609 -3.076 FmL
9.117 8.686 FmL
-12.335 -2.535 FmL
FmFl
112 537.667 FmB
30.557 15.984 FmL
2 1 FmSo
95.478 490.41 FmB
-1.515 -3.123 FmL
12.406 -2.162 FmL
-9.375 8.408 FmL
1 FmS
95.478 490.41 FmB
-1.515 -3.123 FmL
12.406 -2.162 FmL
-9.375 8.408 FmL
FmFl
62.667 506.333 FmB
32.362 -15.705 FmL
2 1 FmSo
143.551 518.558 FmB
-1.552 -3.105 FmL
12.379 -2.309 FmL
-9.275 8.518 FmL
1 FmS
143.551 518.558 FmB
-1.552 -3.105 FmL
12.379 -2.309 FmL
-9.275 8.518 FmL
FmFl
113.333 533.667 FmB
29.77 -14.885 FmL
2 1 FmSo
FmE
4726 0 :M
( )S
4728 0 :M
FrMacBegin
42 458.899 169.992 144 FmKp
B
0 FmP
F FmOP
46.667 523 M (P0)S
116.667 470.333 M (P1)S
105.333 520.333 M (P2)S
158 501.667 M (P3)S
158 549.667 M (P4)S
FmE
endp
showpage
%%PageTrailer
%%Trailer
end
%%EOF