%!PS-Adobe-2.0%%Creator: dvips(k) 5.95a Copyright 2005 Radical Eye Software%%Title: slides-02.dvi%%Pages: 49%%PageOrder: Ascend%%BoundingBox: 0 0 595 842%%DocumentFonts: Times-Bold ComicSansMS ComicSansMS-Bold%%DocumentPaperSizes: a4%%EndComments%DVIPSWebPage: (www.radicaleye.com)%DVIPSCommandLine: dvips slides-02.dvi -o slides-02.ps%DVIPSParameters: dpi=600%DVIPSSource: TeX output 2005.12.07:1237%%BeginProcSet: tex.pro 0 0%!/TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{SN}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 00 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsizemul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall roundexch round exch]setmatrix}N/@landscape{/isls true 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x Coef mul def /y1 y1 Coef mul def /x1 x1 Coef mul def x1 0 gt y1 0 gt x 0 gt y 0 gt and { [ y x y1 x1 ] 1 a sub y mul} { [ 1 0] 0 } ifelse setdash stroke} def%%-------------- DG end patch 15 ---------------%%/DotLine { /b PathLength def /a ED /z ED /y CLW def /z y z add def a 0 gt{ /b b a div def } { a 0 eq { /b b y sub def } { a -3 eq { /b b y adddef } if } ifelse } ifelse [ 0 b b z Div round Div dup 0 le { pop 1 } if] a 0 gt { 0 } { y 2 div a -2 gt { neg } if } ifelse setdash 1setlinecap stroke } def/LineFill { gsave abs CLW add /a ED a 0 dtransform round exch round exch2 copy idtransform exch Atan rotate idtransform pop /a ED .25 .25% DG/SR modification begin - Dec. 12, 1997 - Patch 2%itransform translate pathbbox /y2 ED a Div ceiling cvi /x2 ED /y1 ED aitransform pathbbox /y2 ED a Div ceiling cvi /x2 ED /y1 ED a% DG/SR modification endDiv cvi /x1 ED /y2 y2 y1 sub def clip newpath 2 setlinecap systemdict/setstrokeadjust known { true setstrokeadjust } if x2 x1 sub 1 add { x1% DG/SR 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add def/Helvetica findfont b scalefont setfont /b b .95 mul CLW 2 div add def }if systemdict /setstrokeadjust known { true setstrokeadjust /t { } def }{ /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 addexch itransform } bind def } ifelse gsave n 0 gt { 1 setlinecap [ 0 dy ndiv ] dy n div 2 div setdash } { 2 setlinecap } ifelse /i x1 def /f y1dy mul n 0 gt { dy n div 2 div h mul sub } if def /g y2 dy mul n 0 gt {dy n div 2 div h mul add } if def x2 x1 sub w mul 1 add dup 1000 gt {pop 1000 } if { i dx mul dup y0 moveto b 0 gt { gsave c i a cvs dupstringwidth pop /z2 ED w 0 gt {z1} {z1 z2 add neg} ifelse h 0 gt {b neg}{z1} ifelse rmoveto show grestore } if dup t f moveto g t L stroke /i iw add def } repeat grestore gsave n 0 gt% DG/SR modification begin - Nov. 7, 1997 - Patch 1%{ 1 setlinecap [ 0 dx n div ] dy n div 2 div setdash }{ 1 setlinecap [ 0 dx n div ] dx n div 2 div setdash }% DG/SR modification end{ 2 setlinecap } ifelse /i y1 def /f x1 dx muln 0 gt { dx n div 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begin - Dec. 16, 1999 - From Etienne Riga /Diamond { -428.5 -742.5 428.5 742.5 } def /BoldDiamond /Diamond load def /SolidDiamond /Diamond load def% DG/SR modification end /.notdef { 0 0 0 0 } def end /CharProcs 20 dict def CharProcs begin /Adjust { 2 copy dtransform floor .5 add exch floor .5 add exch idtransform 3 -1 roll div 3 1 roll exch div exch scale } def /CirclePath { 0 0 500 0 360 arc closepath } def /Bullet { 500 500 Adjust CirclePath fill } def /Circle { 500 500 Adjust CirclePath .9 .9 scale CirclePath eofill } def /BoldCircle { 500 500 Adjust CirclePath .8 .8 scale CirclePath eofill } def /BoldCircle { CirclePath .8 .8 scale CirclePath eofill } def /TrianglePath { 0 660 moveto -571.5 -330 lineto 571.5 -330 lineto closepath } def /SolidTriangle { TrianglePath fill } def /Triangle { TrianglePath .85 .85 scale TrianglePath eofill } def /BoldTriangle { TrianglePath .7 .7 scale TrianglePath eofill } def /SquarePath { -450 450 moveto 450 450 lineto 450 -450 lineto -450 -450 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/Encoding get exch get 1 index /BuildGlyph get exec } bind defend/PSTricksDotFont exch definefont pop%END pst-dots.pro%%EndProcSet%%BeginProcSet: pst-node.pro 0 0%!% PostScript prologue for pst-node.tex.% Version 97 patch 1, 97/05/09.% For distribution, see pstricks.tex.%/tx@NodeDict 400 dict def tx@NodeDict begintx@Dict begin /T /translate load def end/NewNode { gsave /next ED dict dup 3 1 roll def exch { dup 3 1 roll def }if begin tx@Dict begin STV CP T exec end /NodeMtrx CM def next endgrestore } def/InitPnode { /Y ED /X ED /NodePos { NodeSep Cos mul NodeSep Sin mul } def} def/InitCnode { /r ED /Y ED /X ED /NodePos { NodeSep r add dup Cos mul exchSin mul } def } def/GetRnodePos { Cos 0 gt { /dx r NodeSep add def } { /dx l NodeSep sub def} ifelse Sin 0 gt { /dy u NodeSep add def } { /dy d NodeSep sub def }ifelse dx Sin mul abs dy Cos mul abs gt { dy Cos mul Sin div dy } { dxdup Sin mul Cos Div } ifelse } def/InitRnode { /Y ED /X ED X sub /r ED /l X neg def Y add neg /d ED Y sub/u ED /NodePos { GetRnodePos } def } def/DiaNodePos { w h mul w Sin mul abs h Cos mul abs add Div NodeSep add dupCos mul exch Sin mul } def/TriNodePos { Sin s lt { d NodeSep sub dup Cos mul Sin Div exch } { w hmul w Sin mul h Cos abs mul add Div NodeSep add dup Cos mul exch Sin mul} ifelse } def/InitTriNode { sub 2 div exch 2 div exch 2 copy T 2 copy 4 index index /dED pop pop pop pop -90 mul rotate /NodeMtrx CM def /X 0 def /Y 0 def dsub abs neg /d ED d add /h ED 2 div h mul h d sub Div /w ED /s d w Atansin def /NodePos { TriNodePos } def } def/OvalNodePos { /ww w NodeSep add def /hh h NodeSep add def Sin ww mul Coshh mul Atan dup cos ww mul exch sin hh mul } def/GetCenter { begin X Y NodeMtrx transform CM itransform end } def/XYPos { dup sin exch cos Do /Cos ED /Sin ED /Dist ED Cos 0 gt { DistDist Sin mul Cos div } { Cos 0 lt { Dist neg Dist Sin mul Cos div neg }{ 0 Dist Sin mul } ifelse } ifelse Do } def/GetEdge { dup 0 eq { pop begin 1 0 NodeMtrx dtransform CM idtransformexch atan sub dup sin /Sin ED cos /Cos ED /NodeSep ED NodePos NodeMtrxdtransform CM idtransform end } { 1 eq {{exch}} {{}} ifelse /Do ED popXYPos } ifelse } def/AddOffset { 1 index 0 eq { pop pop } { 2 copy 5 2 roll cos mul add 4 1roll sin mul sub exch } ifelse } def/GetEdgeA { NodeSepA AngleA NodeA NodeSepTypeA GetEdge OffsetA AngleAAddOffset yA add /yA1 ED xA add /xA1 ED } def/GetEdgeB { NodeSepB AngleB NodeB NodeSepTypeB GetEdge OffsetB AngleBAddOffset yB add /yB1 ED xB add /xB1 ED } def/GetArmA { ArmTypeA 0 eq { /xA2 ArmA AngleA cos mul xA1 add def /yA2 ArmAAngleA sin mul yA1 add def } { ArmTypeA 1 eq {{exch}} {{}} ifelse /Do EDArmA AngleA XYPos OffsetA AngleA AddOffset yA add /yA2 ED xA add /xA2 ED} ifelse } def/GetArmB { ArmTypeB 0 eq { /xB2 ArmB AngleB cos mul xB1 add def /yB2 ArmBAngleB sin mul yB1 add def } { ArmTypeB 1 eq {{exch}} {{}} ifelse /Do EDArmB AngleB XYPos OffsetB AngleB AddOffset yB add /yB2 ED xB add /xB2 ED} ifelse } def/InitNC { /b ED /a ED /NodeSepTypeB ED /NodeSepTypeA ED /NodeSepB ED/NodeSepA ED /OffsetB ED /OffsetA ED tx@NodeDict a known tx@NodeDict bknown and dup { /NodeA a load def /NodeB b load def NodeA GetCenter /yAED /xA ED NodeB GetCenter /yB ED /xB ED } if } def/LPutLine { 4 copy 3 -1 roll sub neg 3 1 roll sub Atan /NAngle ED 1 t submul 3 1 roll 1 t sub mul 4 1 roll t mul add /Y ED t mul add /X ED } def/LPutLines { mark LPutVar counttomark 2 div 1 sub /n ED t floor dup n gt{ pop n 1 sub /t 1 def } { dup t sub neg /t ED } ifelse cvi 2 mul { pop} repeat LPutLine cleartomark } def/BezierMidpoint { /y3 ED /x3 ED /y2 ED /x2 ED /y1 ED /x1 ED /y0 ED /x0 ED/t ED /cx x1 x0 sub 3 mul def /cy y1 y0 sub 3 mul def /bx x2 x1 sub 3mul cx sub def /by y2 y1 sub 3 mul cy sub def /ax x3 x0 sub cx sub bxsub def /ay y3 y0 sub cy sub by sub def ax t 3 exp mul bx t t mul muladd cx t mul add x0 add ay t 3 exp mul by t t mul mul add cy t mul addy0 add 3 ay t t mul mul mul 2 by t mul mul add cy add 3 ax t t mul mulmul 2 bx t mul mul add cx add atan /NAngle ED /Y ED /X ED } def/HPosBegin { yB yA ge { /t 1 t sub def } if /Y yB yA sub t mul yA add def} def/HPosEnd { /X Y yyA sub yyB yyA sub Div xxB xxA sub mul xxA add def/NAngle yyB yyA sub xxB xxA sub Atan def } def/HPutLine { HPosBegin /yyA ED /xxA ED /yyB ED /xxB ED HPosEnd } def/HPutLines { HPosBegin yB yA ge { /check { le } def } { /check { ge } def} ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { dup Y check { exit} { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomark HPosEnd } def/VPosBegin { xB xA lt { /t 1 t sub def } if /X xB xA sub t mul xA add def} def/VPosEnd { /Y X xxA sub xxB xxA sub Div yyB yyA sub mul yyA add def/NAngle yyB yyA sub xxB xxA sub Atan def } def/VPutLine { VPosBegin /yyA ED /xxA ED /yyB ED /xxB ED VPosEnd } def/VPutLines { VPosBegin xB xA ge { /check { le } def } { /check { ge } def} ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { 1 index X check {exit } { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomarkVPosEnd } def/HPutCurve { gsave newpath /SaveLPutVar /LPutVar load def LPutVar 8 -2roll moveto curveto flattenpath /LPutVar [ {} {} {} {} pathforall ] cvxdef grestore exec /LPutVar /SaveLPutVar load def } def/NCCoor { /AngleA yB yA sub xB xA sub Atan def /AngleB AngleA 180 add defGetEdgeA GetEdgeB /LPutVar [ xB1 yB1 xA1 yA1 ] cvx def /LPutPos {LPutVar LPutLine } def /HPutPos { LPutVar HPutLine } def /VPutPos {LPutVar VPutLine } def LPutVar } def/NCLine { NCCoor tx@Dict begin ArrowA CP 4 2 roll ArrowB lineto pop popend } def/NCLines { false NArray n 0 eq { NCLine } { 2 copy yA sub exch xA subAtan /AngleA ED n 2 mul dup index exch index yB sub exch xB sub Atan/AngleB ED GetEdgeA GetEdgeB /LPutVar [ xB1 yB1 n 2 mul 4 add 4 roll xA1yA1 ] cvx def mark LPutVar tx@Dict begin false Line end /LPutPos {LPutLines } def /HPutPos { HPutLines } def /VPutPos { VPutLines } def }ifelse } def/NCCurve { GetEdgeA GetEdgeB xA1 xB1 sub yA1 yB1 sub Pyth 2 div dup 3 -1roll mul /ArmA ED mul /ArmB ED /ArmTypeA 0 def /ArmTypeB 0 def GetArmAGetArmB xA2 yA2 xA1 yA1 tx@Dict begin ArrowA end xB2 yB2 xB1 yB1 tx@Dictbegin ArrowB end curveto /LPutVar [ xA1 yA1 xA2 yA2 xB2 yB2 xB1 yB1 ]cvx def /LPutPos { t LPutVar BezierMidpoint } def /HPutPos { { HPutLines} HPutCurve } def /VPutPos { { VPutLines } HPutCurve } def } def/NCAngles { GetEdgeA GetEdgeB GetArmA GetArmB /mtrx AngleA matrix rotatedef xA2 yA2 mtrx transform pop xB2 yB2 mtrx transform exch pop mtrxitransform /y0 ED /x0 ED mark ArmB 0 ne { xB1 yB1 } if xB2 yB2 x0 y0 xA2yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict begin false Line end /LPutVar [ xB1yB1 xB2 yB2 x0 y0 xA2 yA2 xA1 yA1 ] cvx def /LPutPos { LPutLines } def/HPutPos { HPutLines } def /VPutPos { VPutLines } def } def/NCAngle { GetEdgeA GetEdgeB GetArmB /mtrx AngleA matrix rotate def xB2yB2 mtrx itransform pop xA1 yA1 mtrx itransform exch pop mtrx transform/y0 ED /x0 ED mark ArmB 0 ne { xB1 yB1 } if xB2 yB2 x0 y0 xA1 yA1tx@Dict begin false Line end /LPutVar [ xB1 yB1 xB2 yB2 x0 y0 xA1 yA1 ]cvx def /LPutPos { LPutLines } def /HPutPos { HPutLines } def /VPutPos {VPutLines } def } def/NCBar { GetEdgeA GetEdgeB GetArmA GetArmB /mtrx AngleA matrix rotate defxA2 yA2 mtrx itransform pop xB2 yB2 mtrx itransform pop sub dup 0 mtrxtransform 3 -1 roll 0 gt { /yB2 exch yB2 add def /xB2 exch xB2 add def }{ /yA2 exch neg yA2 add def /xA2 exch neg xA2 add def } ifelse mark ArmB0 ne { xB1 yB1 } if xB2 yB2 xA2 yA2 ArmA 0 ne { xA1 yA1 } if tx@Dictbegin false Line end /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvxdef /LPutPos { LPutLines } def /HPutPos { HPutLines } def /VPutPos {VPutLines } def } def/NCDiag { GetEdgeA GetEdgeB GetArmA GetArmB mark ArmB 0 ne { xB1 yB1 } ifxB2 yB2 xA2 yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict begin false Line end/LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def /LPutPos {LPutLines } def /HPutPos { HPutLines } def /VPutPos { VPutLines } def }def/NCDiagg { GetEdgeA GetArmA yB yA2 sub xB xA2 sub Atan 180 add /AngleB EDGetEdgeB mark xB1 yB1 xA2 yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict beginfalse Line end /LPutVar [ xB1 yB1 xA2 yA2 xA1 yA1 ] cvx def /LPutPos {LPutLines } def /HPutPos { HPutLines } def /VPutPos { VPutLines } def }def/NCLoop { GetEdgeA GetEdgeB GetArmA GetArmB /mtrx AngleA matrix rotatedef xA2 yA2 mtrx transform loopsize add /yA3 ED /xA3 ED /xB3 xB2 yB2mtrx transform pop def xB3 yA3 mtrx itransform /yB3 ED /xB3 ED xA3 yA3mtrx itransform /yA3 ED /xA3 ED mark ArmB 0 ne { xB1 yB1 } if xB2 yB2xB3 yB3 xA3 yA3 xA2 yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict begin falseLine end /LPutVar [ xB1 yB1 xB2 yB2 xB3 yB3 xA3 yA3 xA2 yA2 xA1 yA1 ]cvx def /LPutPos { LPutLines } def /HPutPos { HPutLines } def /VPutPos {VPutLines } def } def% DG/SR modification begin - May 9, 1997 - Patch 1%/NCCircle { 0 0 NodesepA nodeA \tx@GetEdge pop xA sub 2 div dup 2 exp r%r mul sub abs sqrt atan 2 mul /a ED r AngleA 90 add PtoC yA add exch xA add%exch 2 copy /LPutVar [ 4 2 roll r AngleA ] cvx def /LPutPos { LPutVar t 360%mul add dup 5 1 roll 90 sub \tx@PtoC 3 -1 roll add /Y ED add /X ED /NAngle ED/NCCircle { NodeSepA 0 NodeA 0 GetEdge pop 2 div dup 2 exp rr mul sub abs sqrt atan 2 mul /a ED r AngleA 90 add PtoC yA add exch xA addexch 2 copy /LPutVar [ 4 2 roll r AngleA ] cvx def /LPutPos { LPutVar t 360mul add dup 5 1 roll 90 sub PtoC 3 -1 roll add /Y ED add /X ED /NAngle ED% DG/SR modification end} def /HPutPos { LPutPos } def /VPutPos { LPutPos } def r AngleA 90 sub a addAngleA 270 add a sub tx@Dict begin /angleB ED /angleA ED /r ED /c 57.2957 rDiv def /y ED /x ED } def/NCBox { /d ED /h ED /AngleB yB yA sub xB xA sub Atan def /AngleA AngleB180 add def GetEdgeA GetEdgeB /dx d AngleB sin mul def /dy d AngleB cosmul neg def /hx h AngleB sin mul neg def /hy h AngleB cos mul def/LPutVar [ xA1 hx add yA1 hy add xB1 hx add yB1 hy add xB1 dx add yB1 dyadd xA1 dx add yA1 dy add ] cvx def /LPutPos { LPutLines } def /HPutPos{ xB yB xA yA LPutLine } def /VPutPos { HPutPos } def mark LPutVartx@Dict begin false Polygon end } def/NCArcBox { /l ED neg /d ED /h ED /a ED /AngleA yB yA sub xB xA sub Atandef /AngleB AngleA 180 add def /tA AngleA a sub 90 add def /tB tA a 2mul add def /r xB xA sub tA cos tB cos sub Div dup 0 eq { pop 1 } if def/x0 xA r tA cos mul add def /y0 yA r tA sin mul add def /c 57.2958 r divdef /AngleA AngleA a sub 180 add def /AngleB AngleB a add 180 add defGetEdgeA GetEdgeB /AngleA tA 180 add yA yA1 sub xA xA1 sub Pyth c mulsub def /AngleB tB 180 add yB yB1 sub xB xB1 sub Pyth c mul add def l 0eq { x0 y0 r h add AngleA AngleB arc x0 y0 r d add AngleB AngleA arcn }{ x0 y0 translate /tA AngleA l c mul add def /tB AngleB l c mul sub def0 0 r h add tA tB arc r h add AngleB PtoC r d add AngleB PtoC 2 copy 6 2roll l arcto 4 { pop } repeat r d add tB PtoC l arcto 4 { pop } repeat 00 r d add tB tA arcn r d add AngleA PtoC r h add AngleA PtoC 2 copy 6 2roll l arcto 4 { pop } repeat r h add tA PtoC l arcto 4 { pop } repeat }ifelse closepath /LPutVar [ x0 y0 r AngleA AngleB h d ] cvx def /LPutPos{ LPutVar /d ED /h ED /AngleB ED /AngleA ED /r ED /y0 ED /x0 ED t 1 le {r h add AngleA 1 t sub mul AngleB t mul add dup 90 add /NAngle ED PtoC }{ t 2 lt { /NAngle AngleB 180 add def r 2 t sub h mul t 1 sub d mul addadd AngleB PtoC } { t 3 lt { r d add AngleB 3 t sub mul AngleA 2 t submul add dup 90 sub /NAngle ED PtoC } { /NAngle AngleA 180 add def r 4 tsub d mul t 3 sub h mul add add AngleA PtoC } ifelse } ifelse } ifelsey0 add /Y ED x0 add /X ED } def /HPutPos { LPutPos } def /VPutPos {LPutPos } def } def/Tfan { /AngleA yB yA sub xB xA sub Atan def GetEdgeA w xA1 xB sub yA1 yBsub Pyth Pyth w Div CLW 2 div mul 2 div dup AngleA sin mul yA1 add /yA1ED AngleA cos mul xA1 add /xA1 ED /LPutVar [ xA1 yA1 m { xB w add yB xBw sub yB } { xB yB w sub xB yB w add } ifelse xA1 yA1 ] cvx def /LPutPos{ LPutLines } def /VPutPos@ { LPutVar flag { 8 4 roll pop pop pop pop }{ pop pop pop pop 4 2 roll } ifelse } def /VPutPos { VPutPos@ VPutLine }def /HPutPos { VPutPos@ HPutLine } def mark LPutVar tx@Dict begin/ArrowA { moveto } def /ArrowB { } def false Line closepath end } def/LPutCoor { NAngle tx@Dict begin /NAngle ED end gsave CM STV CP Y sub negexch X sub neg exch moveto setmatrix CP grestore } def/LPut { tx@NodeDict /LPutPos known { LPutPos } { CP /Y ED /X ED /NAngle 0def } ifelse LPutCoor } def/HPutAdjust { Sin Cos mul 0 eq { 0 } { d Cos mul Sin div flag not { neg }if h Cos mul Sin div flag { neg } if 2 copy gt { pop } { exch pop }ifelse } ifelse s add flag { r add neg } { l add } ifelse X add /X ED }def/VPutAdjust { Sin Cos mul 0 eq { 0 } { l Sin mul Cos div flag { neg } ifr Sin mul Cos div flag not { neg } if 2 copy gt { pop } { exch pop }ifelse } ifelse s add flag { d add } { h add neg } ifelse Y add /Y ED }defend% END pst-node.pro%%EndProcSet%%BeginProcSet: pst-text.pro 0 0%!% PostScript header file pst-text.pro% Version 97, 94/04/20; patched MV 10-09-99 00:36% For distribution, see pstricks.tex./tx@TextPathDict 40 dict deftx@TextPathDict begin% Syntax: <dist> PathPosition -% Function: Searches for position of currentpath distance <dist> from% beginning. Sets (X,Y)=position, and Angle=tangent./PathPosition{ /targetdist exch def /pathdist 0 def /continue true def /X { newx } def /Y { newy } def /Angle 0 def gsave flattenpath { movetoproc } { linetoproc } { } { firstx firsty linetoproc } /pathforall load stopped { pop pop pop pop /X 0 def /Y 0 def } if grestore} def/movetoproc { continue { @movetoproc } { pop pop } ifelse } def/@movetoproc{ /newy exch def /newx exch def /firstx newx def /firsty newy def} def/linetoproc { continue { @linetoproc } { pop pop } ifelse } def/@linetoproc{ /oldx newx def /oldy newy def /newy exch def /newx exch def /dx newx oldx sub def /dy newy oldy sub def /dist dx dup mul dy dup mul add sqrt def /pathdist pathdist dist add def pathdist targetdist ge { pathdist targetdist sub dist div dup dy mul neg newy add /Y exch def dx mul neg newx add /X exch def /Angle dy dx atan def /continue false def } if} def/TextPathShow{ /String exch def /CharCount 0 def String length { String CharCount 1 getinterval ShowChar /CharCount CharCount 1 add def } repeat} def% Syntax: <pathlength> <position> InitTextPath -/InitTextPath{ gsave currentpoint /Y exch def /X exch def exch X Hoffset sub sub mul Voffset Hoffset sub add neg X add /Hoffset exch def /Voffset Y def grestore} def/Transform{ PathPosition dup Angle cos mul Y add exch Angle sin mul neg X add exch translate Angle rotate} def/ShowChar{ /Char exch def gsave Char end stringwidth tx@TextPathDict begin 2 div /Sy exch def 2 div /Sx exch def%%% MV 10-09-99 00:36 /sc?currentpoint where {pop sc?currentpoint} {currentpoint} ifelse% currentpoint Voffset sub Sy add exch Hoffset sub Sx add Transform Sx neg Sy neg moveto Char end tx@TextPathSavedShow tx@TextPathDict begin grestore Sx 2 mul Sy 2 mul rmoveto} defend% END pst-text.pro%%EndProcSet%%BeginProcSet: 8r.enc 0 0% File 8r.enc TeX Base 1 Encoding Revision 2.0 2002-10-30%% @@psencodingfile@{% author = "S. Rahtz, P. MacKay, Alan Jeffrey, B. Horn, K. Berry,% W. Schmidt, P. Lehman",% version = "2.0",% date = "30 October 2002",% filename = "8r.enc",% email = "tex-fonts@@tug.org",% docstring = "This is the encoding vector for Type1 and TrueType% fonts to be used with TeX. This file is part of the% PSNFSS bundle, version 9"% @}% % The idea is to have all the characters normally included in Type 1 fonts% available for typesetting. This is effectively the characters in Adobe% Standard encoding, ISO Latin 1, Windows ANSI including the euro symbol,% MacRoman, and some extra characters from Lucida.% % Character code assignments were made as follows:% % (1) the Windows ANSI characters are almost all in their Windows ANSI% positions, because some Windows users cannot easily reencode the% fonts, and it makes no difference on other systems. The only Windows% ANSI characters not available are those that make no sense for% typesetting -- rubout (127 decimal), nobreakspace (160), softhyphen% (173). quotesingle and grave are moved just because it's such an% irritation not having them in TeX positions.% % (2) Remaining characters are assigned arbitrarily to the lower part% of the range, avoiding 0, 10 and 13 in case we meet dumb software.% % (3) Y&Y Lucida Bright includes some extra text characters; in the% hopes that other PostScript fonts, perhaps created for public% consumption, will include them, they are included starting at 0x12.% These are /dotlessj /ff /ffi /ffl.% % (4) hyphen appears twice for compatibility with both ASCII and Windows.%% (5) /Euro was assigned to 128, as in Windows ANSI%% (6) Missing characters from MacRoman encoding incorporated as follows:%% PostScript MacRoman TeXBase1% -------------- -------------- --------------% /notequal 173 0x16% /infinity 176 0x17% /lessequal 178 0x18% /greaterequal 179 0x19% /partialdiff 182 0x1A% /summation 183 0x1B% /product 184 0x1C% /pi 185 0x1D% /integral 186 0x81% /Omega 189 0x8D% /radical 195 0x8E% /approxequal 197 0x8F% /Delta 198 0x9D% /lozenge 215 0x9E%/TeXBase1Encoding [% 0x00 /.notdef /dotaccent /fi /fl /fraction /hungarumlaut /Lslash /lslash /ogonek /ring /.notdef /breve /minus /.notdef /Zcaron /zcaron% 0x10 /caron /dotlessi /dotlessj /ff /ffi /ffl /notequal /infinity /lessequal /greaterequal /partialdiff /summation /product /pi /grave /quotesingle% 0x20 /space /exclam /quotedbl /numbersign /dollar /percent /ampersand /quoteright /parenleft /parenright /asterisk /plus /comma /hyphen /period /slash% 0x30 /zero /one /two /three /four /five /six /seven /eight /nine /colon /semicolon /less /equal /greater /question% 0x40 /at /A /B /C /D /E /F /G /H /I /J /K /L /M /N /O% 0x50 /P /Q /R /S /T /U /V /W /X /Y /Z /bracketleft /backslash /bracketright /asciicircum /underscore% 0x60 /quoteleft /a /b /c /d /e /f /g /h /i /j /k /l /m /n /o% 0x70 /p /q /r /s /t /u /v /w /x /y /z /braceleft /bar /braceright /asciitilde /.notdef% 0x80 /Euro /integral /quotesinglbase /florin /quotedblbase /ellipsis /dagger /daggerdbl /circumflex /perthousand /Scaron /guilsinglleft /OE /Omega /radical /approxequal% 0x90 /.notdef /.notdef /.notdef /quotedblleft /quotedblright /bullet /endash /emdash /tilde /trademark /scaron /guilsinglright /oe /Delta /lozenge /Ydieresis% 0xA0 /.notdef /exclamdown /cent /sterling /currency /yen /brokenbar /section /dieresis /copyright /ordfeminine /guillemotleft /logicalnot /hyphen /registered /macron% 0xD0 /degree /plusminus /twosuperior /threesuperior /acute /mu /paragraph /periodcentered /cedilla /onesuperior /ordmasculine /guillemotright /onequarter /onehalf /threequarters /questiondown% 0xC0 /Agrave /Aacute /Acircumflex /Atilde /Adieresis /Aring /AE /Ccedilla /Egrave /Eacute /Ecircumflex /Edieresis /Igrave /Iacute /Icircumflex /Idieresis% 0xD0 /Eth /Ntilde /Ograve /Oacute /Ocircumflex /Otilde /Odieresis /multiply /Oslash /Ugrave /Uacute /Ucircumflex /Udieresis /Yacute /Thorn /germandbls% 0xE0 /agrave /aacute /acircumflex /atilde /adieresis /aring /ae /ccedilla /egrave /eacute /ecircumflex /edieresis /igrave /iacute /icircumflex /idieresis% 0xF0 /eth /ntilde /ograve /oacute /ocircumflex /otilde /odieresis /divide /oslash /ugrave /uacute /ucircumflex /udieresis /yacute /thorn /ydieresis] def%%EndProcSet%%BeginProcSet: texmital.enc 0 0% TeX math italic encoding.% No ligatures or kerns.% /TeXMathItalicEncoding [ % now 256 chars follow% 0x0/Gamma/Delta/Theta/Lambda/Xi/Pi/Sigma/Upsilon% 0x8/Phi/Psi/Omega/alpha/beta/gamma/delta/epsilon1% 0x10/zeta/eta/theta/iota/kappa/lambda/mu/nu% 0x18/xi/pi/rho/sigma/tau/upsilon/phi/chi% 0x20/psi/omega/epsilon/theta1/pi1/rho1/sigma1/phi1% 0x28/arrowlefttophalf/arrowleftbothalf/arrowrighttophalf/arrowrightbothalf/arrowhookleft/arrowhookright/triangleright/triangleleft% 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All rights reserved.%%CreationDate: Sat Sep 14 10:17:13 2002% Converted by ttf2pt1 3.4.2/ttf% Args: -a -b comicbd.ttf%%EndComments12 dict begin/FontInfo 9 dict dup begin/version (Version 2.10) readonly def/Notice (Copyright [c] 1995 Microsoft Corporation. All rights reserved.) readonly def/FullName (Comic Sans MS Bold) readonly def/FamilyName (Comic Sans MS) readonly def/Weight (Bold) readonly def/ItalicAngle 0.000000 def/isFixedPitch false def/UnderlinePosition -133 def/UnderlineThickness 85 defend readonly def/FontName /ComicSansMS-Bold def/PaintType 0 def/StrokeWidth 0 def/FontType 1 def/FontMatrix [0.001 0 0 0.001 0 0] def/FontBBox {-112 -292 1229 1102} readonly def/Encoding 256 array0 1 255 {1 index exch /.notdef put} fordup 0 /.notdef putreadonly defcurrentdict endcurrentfile 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%%BeginFont: ComicSansMS%!PS-AdobeFont-1.0: ComicSansMS Copyright [c] 1995 Microsoft Corporation. All rights reserved.%%CreationDate: Sat Sep 14 10:16:33 2002% Converted by ttf2pt1 3.4.2/ttf% Args: -a -b comic.ttf%%EndComments12 dict begin/FontInfo 9 dict dup begin/version (Version 2.10) readonly def/Notice (Copyright [c] 1995 Microsoft Corporation. All rights reserved.) readonly def/FullName (Comic Sans MS) readonly def/FamilyName (Comic Sans MS) readonly def/Weight (Regular) readonly def/ItalicAngle 0.000000 def/isFixedPitch false def/UnderlinePosition -133 def/UnderlineThickness 85 defend readonly def/FontName /ComicSansMS def/PaintType 0 def/StrokeWidth 0 def/FontType 1 def/FontMatrix [0.001 0 0 0.001 0 0] def/FontBBox {-93 -312 1187 1102} readonly def/Encoding 256 array0 1 255 {1 index exch /.notdef put} fordup 0 /.notdef putreadonly defcurrentdict endcurrentfile 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PtoC Shadow TeXDictbegin OliveGreen end gsave fill grestore stroke grestore gsave TeXDictbegin Green end gsave fill grestore stroke grestore gsave TeXDict beginGreen end fill grestore gsave 0.0 SLW TeXDict begin Green end 0 setlinecapstroke grestore end@endspecial Black 284 w(The)f(polymorphic)h(type)p Blue 66 w FG(\013)60 b FF(\002)h FG(\014)p Black74 w FI(is)66 b(de\002ned)g(as)g(a)g(subset)5177 5603y(of)h(the)f(type)p Blue 67 w FG(\013)79 b FF(\))g FG(\014)87b FF(\))79 b FI(bool)p Black 1 w(.)j(The)66 b(pair)pBlue 67 w FH(\()p FG(a;)48 b(b)p FH(\))p Black 67 w FI(is)51775863 y(represented)67 b(as)g(the)f(function:)p Blue 64286160 a FG(\025x)48 b(y)9 b(:)80 b FH(\()p FG(x)g FH(=)fFG(a)p FH(\))64 b FF(^)f FH(\()p FG(y)89 b FH(=)79 bFG(b)p FH(\))p Black Red Black 1 1 0.8 TeXcolorrgb Black5025 3378 a @beginspecial @setspecial tx@Dict begin STP newpath 0.8 SLW TeXDict begin Red end 0.05 true3.8 neg 43.45027 neg 259.8748 49.45029 .5 Frame gsave 1 1 0.8 setrgbcolorfill grestore gsave 0.8 SLW TeXDict begin Red end 0 setlinecap stroke grestore end@endspecial -731x FN(Implemented)i(Barendregt's:)5025 3132 y FD(Convention)p5025 3188 1348 12 v -1 w FN(:)99 b(Terms)80 b(that)g(are)hFC(\013)p FN(-congruent)5025 3435 y(are)f(identi\002ed.)100b(So)79 b(now)g(we)h(write)p Blue 5025 3713 a FC(\025x:x)pBlue 94 w FB(\021)p Blue 95 w FC(\025y)11 b(:y)p Black90 w FN(etcetera.)p 1 1 0.8 TeXcolorrgb 5319 4122 a FA(=)80b FN(is)f(equality)i(in)f(HOL)p Black 0 TeXcolorgray10797 5925 a 0 setgray 10797 5925 a 0.5 TeXcolorgray 9124 6307a FL(London,)26 b(6.)h(December)g(2005)g(\226)g(p.3)h(\(1/5\))p0 TeXcolorgray 4360 6416 a tx@Dict begin -90 Rot end 4360 6416 a eop end%%Page: 3 4TeXDict begin 3 3 bop 0 TeXcolorgray 4360 6416 a tx@Dict begin 90 Rot end 43606416 a 4585 1909 aSDict begin /product where{pop product(Distiller)search{pop pop popversion(.)search{exch pop exch pop(3011)eq{gsave newpath 0 0 movetoclosepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)showgrestore}if}{pop}ifelse}{pop}ifelse}if end 4585 1909 a 4585 1909 aSDict begin H.S end 4585 1909a 0 TeXcolorgray 0 TeXcolorgray 4585 1909 aSDict begin H.R end 4585 1909a 4585 1909 aSDict begin [ /View [/XYZ H.V] /Dest (page.1) cvn H.B /DEST pdfmarkend 4585 1909 a 4585 1909 aSDict begin [ {ThisPage}<</Trans << /S /R >> >> /PUT pdfmark end 4585 1909 a Gray5056 2027 a FK(\013)p FR(-Equi)-5 b(v)g(alence)127 b(Classes)p0 TeXcolorgray Black Black Black 7537 3829 a @beginspecial@setspecial tx@Dict begin STP newpath 0.8 SLW 0 setgray [ 106.69778 21.3395578.24504 5.69046 45.52455 14.22636 34.1432 42.67911 54.06003 76.8223179.66776 82.51277 108.1205 56.90549 1. 0.1 0. /c ED /b ED /a ED falseClosedCurve gsave 0.8 SLW 0 setgray 0 setlinecap stroke grestoreend@endspecial 0.76 0.76 0.76 TeXcolorrgb Black@beginspecial @setspecial tx@Dict begin STP newpath 0.8 SLW 0 setgray [ 71.13185 21.3395551.21501 28.45274 56.90549 49.7923 73.9773 54.06003 85.35823 35.56592 1. 0.1 0. /c ED /b ED /a ED false ClosedCurve gsave 0.76 0.76 0.76 setrgbcolor fill grestore gsave 0.8 SLW 0 setgray 0 setlinecap stroke grestore end@endspecial 0.76 0.76 0.76TeXcolorrgb Black @beginspecial @setspecial tx@Dict begin STP newpath 0.8 SLW 0 setgray [ -59.75093 21.33955-81.09048 35.56592 -73.9773 49.7923 -56.90549 54.06003 -49.7923 35.56592 1. 0.1 0. /c ED /b ED /a ED false ClosedCurve gsave 0.76 0.76 0.76 setrgbcolor fill grestore gsave 0.8 SLW 0 setgray 0 setlinecap stroke grestore end@endspecial7537 3829 a tx@Dict begin tx@NodeDict begin {106.69778 21.33955 } false /N@A 10{InitPnode } NewNode end end 7537 3829 a 9189 4185 a tx@Dict begin tx@NodeDict begin {17.96753 11.96753 50.65204 25.326023.0 } false /N@B 16 {InitRnode } NewNode end end 9189 4185 a Red Black1 1 0.8 TeXcolorrgb Black 78 w @beginspecial @setspecial tx@Dict begin STP newpath 0.8 SLW TeXDict begin Red end 0.15 true3.8 neg 11.96753 neg 46.85204 17.96753 .5 Frame gsave 1 1 0.8 setrgbcolorfill grestore gsave 0.8 SLW TeXDict begin Red end 0 setlinecap stroke grestore end@endspecial -130 x FI(existing)9267 4291 y(type)p RedBlack 7537 3829 a tx@Dict begin gsave STV newpath 0.8 SLW TeXDict begin Red end /ArrowA{ moveto } def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.52. Arrow EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg0.0 0.0 0 0 /N@B /N@A InitNC { /AngleA 90. def /AngleB 300. def 0.9 0.9 NCCurve } if end gsave 0.8 SLW TeXDict begin Red end 0 setlinecapstroke grestore grestore end 7537 3829 a 7537 3829 a tx@Dict begin tx@NodeDict begin {56.90549 49.7923 } false /N@X 10{InitPnode } NewNode end end 7537 3829 a6779 2569 a tx@Dict begin tx@NodeDict begin {16.86595 10.86594 67.72386 33.861923.0 } false /N@Y 16 {InitRnode } NewNode end end 6779 2569 a Red Black 1 1 0.8 TeXcolorrgbBlack 79 w @beginspecial @setspecial tx@Dict begin STP newpath 0.8 SLW TeXDict begin Red end 0.06 true3.8 neg 10.86594 neg 63.92386 16.86595 .5 Frame gsave 1 1 0.8 setrgbcolorfill grestore gsave 0.8 SLW TeXDict begin Red end 0 setlinecap stroke grestore end@endspecial -117x FI(non-empty)6858 2707 y(subset)p Red Black 7537 3829a tx@Dict begin gsave STV newpath 0.8 SLW TeXDict begin Red end /ArrowA{ moveto } def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.52. Arrow EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg0.0 0.0 0 0 /N@Y /N@X InitNC { /AngleA 0. def /AngleB 130. def 0.7 0.7 NCCurve } if end gsave 0.8 SLW TeXDict begin Red end 0 setlinecapstroke grestore grestore end 7537 3829 a 7537 3829 a tx@Dict begin tx@NodeDict begin {-81.09048 35.56592 } false /N@U 10{InitPnode } NewNode end end 7537 3829 a 5075 3891 a tx@Dict begin tx@NodeDict begin {12.01903 6.01901 56.34294 28.171463.0 } false /N@V 16 {InitRnode } NewNode end end 50753891 a Red Black 1 1 0.8 TeXcolorrgb Black 78 w @beginspecial@setspecial tx@Dict begin STP newpath 0.8 SLW TeXDict begin Red end 0.06 true3.8 neg 6.01901 neg 52.54294 12.01903 .5 Frame gsave 1 1 0.8 setrgbcolorfill grestore gsave 0.8 SLW TeXDict begin Red end 0 setlinecap stroke grestore end@endspecial -17 x FI(new)66 b(type)p RedBlack 7537 3829 a tx@Dict begin gsave STV newpath 0.8 SLW TeXDict begin Red end /ArrowA{ moveto } def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.52. Arrow EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg0.0 0.0 0 0 /N@V /N@U InitNC { /AngleA 90. def /AngleB 190. def 0.7 0.7 NCCurve } if end gsave 0.8 SLW TeXDict begin Red end 0 setlinecapstroke grestore grestore end 7537 3829 a 6840 3298 a FI(isomorphism)75373829 y @beginspecial @setspecial tx@Dict begin STP newpath 1.13809 SLW 0 setgray /ArrowA { BeginArrow1. 1. scale false 0.4 1.4 1.5 2. Arrow EndArrow moveto } def /ArrowB{ } def [ -47.23164 36.98865 47.23164 36.98865 /Lineto /lineto loaddef false Line gsave 1.13809 SLW 0 setgray 0 setlinecap stroke grestoreend@endspecial Black GreenBlack Green Black OliveGreen Black 4893 4716 a @beginspecial@setspecial tx@Dict begin STP newpath 0.0 SLW TeXDict begin Green end 0. true0.0 0.0 9.14807 9.14807 .5 Frame gsave 2.0 -45. PtoC Shadow TeXDictbegin OliveGreen end gsave fill grestore stroke grestore gsave TeXDictbegin Green end gsave fill grestore stroke grestore gsave TeXDict beginGreen end fill grestore gsave 0.0 SLW TeXDict begin Green end 0 setlinecapstroke grestore end@endspecial Black 284 w(You)g(could)h(de\002ne)f(the)g(type)h(of)g(lists)h(containing)f(only)p Blue 5177 4977a FH(1)p Black FI(s,)p Blue 67 w FH(2)p Black FI(s)g(and)pBlue 66 w FH(3)p Black FI(s)h(from)f(the)f(existing)i(type)e(of)h(lists.)p Black Green Black Green Black OliveGreen Black4893 5333 a @beginspecial @setspecial tx@Dict begin STP newpath 0.0 SLW TeXDict begin Green end 0. true0.0 0.0 9.14807 9.14807 .5 Frame gsave 2.0 -45. PtoC Shadow TeXDictbegin OliveGreen end gsave fill grestore stroke grestore gsave TeXDictbegin Green end gsave fill grestore stroke grestore gsave TeXDict beginGreen end fill grestore gsave 0.0 SLW TeXDict begin Green end 0 setlinecapstroke grestore end@endspecial Black284 w(The)f(polymorphic)h(type)p Blue 66 w FG(\013)60b FF(\002)h FG(\014)p Black 74 w FI(is)66 b(de\002ned)g(as)g(a)g(subset)5177 5603 y(of)h(the)f(type)p Blue 67 w FG(\013)79b FF(\))g FG(\014)87 b FF(\))79 b FI(bool)p Black 1 w(.)j(The)66b(pair)p Blue 67 w FH(\()p FG(a;)48 b(b)p FH(\))p Black67 w FI(is)5177 5863 y(represented)67 b(as)g(the)f(function:)pBlue 6428 6160 a FG(\025x)48 b(y)9 b(:)80 b FH(\()p FG(x)gFH(=)f FG(a)p FH(\))64 b FF(^)f FH(\()p FG(y)89 b FH(=)79b FG(b)p FH(\))p Black Red Black 1 1 0.8 TeXcolorrgbBlack 5025 3378 a @beginspecial @setspecial tx@Dict begin STP newpath 0.8 SLW TeXDict begin Red end 0.05 true3.8 neg 43.45027 neg 259.8748 49.45029 .5 Frame gsave 1 1 0.8 setrgbcolorfill grestore gsave 0.8 SLW TeXDict begin Red end 0 setlinecap stroke grestore end@endspecial-731 x FN(Implemented)i(Barendregt's:)5025 3132 y FD(Convention)p5025 3188 1348 12 v -1 w FN(:)99 b(Terms)80 b(that)g(are)hFC(\013)p FN(-congruent)5025 3435 y(are)f(identi\002ed.)100b(So)79 b(now)g(we)h(write)p Blue 5025 3713 a FC(\025x:x)pRed 94 w FA(=)p Blue 96 w FC(\025y)11 b(:y)p Black 89w FN(etcetera.)p Red 5319 4122 a FA(=)80 b FN(is)f(equality)i(in)f(HOL)p Black 0 TeXcolorgray 10797 5925 a 0 setgray 10797 5925 a 0.5TeXcolorgray 9109 6307 a FL(London,)26 b(6.)i(December)e(2005)h(\226)h(p.3)f(\(2/5\))p 0 TeXcolorgray 4360 6416 a tx@Dict begin -90 Rot end 4360 6416a eop end%%Page: 3 5TeXDict begin 3 4 bop 0 TeXcolorgray 4360 6416 a tx@Dict begin 90 Rot end 43606416 a 4585 1909 aSDict begin /product where{pop product(Distiller)search{pop pop popversion(.)search{exch pop exch pop(3011)eq{gsave newpath 0 0 movetoclosepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)showgrestore}if}{pop}ifelse}{pop}ifelse}if end 4585 1909 a 4585 1909 aSDict begin H.S end 4585 1909a 0 TeXcolorgray 0 TeXcolorgray 4585 1909 aSDict begin H.R end 4585 1909a 4585 1909 aSDict begin [ /View [/XYZ H.V] /Dest (page.1) cvn H.B /DEST pdfmarkend 4585 1909 a 4585 1909 aSDict begin [ {ThisPage}<</Trans << /S /R >> >> /PUT pdfmark end 4585 1909 a Gray5056 2027 a FK(\013)p FR(-Equi)-5 b(v)g(alence)127 b(Classes)p0 TeXcolorgray Black Black Black 7537 3829 a @beginspecial@setspecial tx@Dict begin STP newpath 0.8 SLW 0 setgray [ 106.69778 21.3395578.24504 5.69046 45.52455 14.22636 34.1432 42.67911 54.06003 76.8223179.66776 82.51277 108.1205 56.90549 1. 0.1 0. /c ED /b ED /a ED falseClosedCurve gsave 0.8 SLW 0 setgray 0 setlinecap stroke grestoreend@endspecial 0.76 0.76 0.76 TeXcolorrgb Black@beginspecial @setspecial tx@Dict begin STP newpath 0.8 SLW 0 setgray [ 71.13185 21.3395551.21501 28.45274 56.90549 49.7923 73.9773 54.06003 85.35823 35.56592 1. 0.1 0. /c ED /b ED /a ED false ClosedCurve gsave 0.76 0.76 0.76 setrgbcolor fill grestore gsave 0.8 SLW 0 setgray 0 setlinecap stroke grestore end@endspecial 0.76 0.76 0.76TeXcolorrgb Black @beginspecial @setspecial tx@Dict begin STP newpath 0.8 SLW 0 setgray [ -59.75093 21.33955-81.09048 35.56592 -73.9773 49.7923 -56.90549 54.06003 -49.7923 35.56592 1. 0.1 0. /c ED /b ED /a ED false ClosedCurve gsave 0.76 0.76 0.76 setrgbcolor fill grestore gsave 0.8 SLW 0 setgray 0 setlinecap stroke grestore end@endspecial7537 3829 a tx@Dict begin tx@NodeDict begin {106.69778 21.33955 } false /N@A 10{InitPnode } NewNode end end 7537 3829 a 9189 4185 a tx@Dict begin tx@NodeDict begin {17.96753 11.96753 50.65204 25.326023.0 } false /N@B 16 {InitRnode } NewNode end end 9189 4185 a Red Black1 1 0.8 TeXcolorrgb Black 78 w @beginspecial @setspecial tx@Dict begin STP newpath 0.8 SLW TeXDict begin Red end 0.15 true3.8 neg 11.96753 neg 46.85204 17.96753 .5 Frame gsave 1 1 0.8 setrgbcolorfill grestore gsave 0.8 SLW TeXDict begin Red end 0 setlinecap stroke grestore end@endspecial -130 x FI(existing)9267 4291 y(type)p RedBlack 7537 3829 a tx@Dict begin gsave STV newpath 0.8 SLW TeXDict begin Red end /ArrowA{ moveto } def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.52. Arrow EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg0.0 0.0 0 0 /N@B /N@A InitNC { /AngleA 90. def /AngleB 300. def 0.9 0.9 NCCurve } if end gsave 0.8 SLW TeXDict begin Red end 0 setlinecapstroke grestore grestore end 7537 3829 a 7537 3829 a tx@Dict begin tx@NodeDict begin {56.90549 49.7923 } false /N@X 10{InitPnode } NewNode end end 7537 3829 a6779 2569 a tx@Dict begin tx@NodeDict begin {16.86595 10.86594 67.72386 33.861923.0 } false /N@Y 16 {InitRnode } NewNode end end 6779 2569 a Red Black 1 1 0.8 TeXcolorrgbBlack 79 w @beginspecial @setspecial tx@Dict begin STP newpath 0.8 SLW TeXDict begin Red end 0.06 true3.8 neg 10.86594 neg 63.92386 16.86595 .5 Frame gsave 1 1 0.8 setrgbcolorfill grestore gsave 0.8 SLW TeXDict begin Red end 0 setlinecap stroke grestore end@endspecial -117x FI(non-empty)6858 2707 y(subset)p Red Black 7537 3829a tx@Dict begin gsave STV newpath 0.8 SLW TeXDict begin Red end /ArrowA{ moveto } def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.52. Arrow EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg0.0 0.0 0 0 /N@Y /N@X InitNC { /AngleA 0. def /AngleB 130. def 0.7 0.7 NCCurve } if end gsave 0.8 SLW TeXDict begin Red end 0 setlinecapstroke grestore grestore end 7537 3829 a 7537 3829 a tx@Dict begin tx@NodeDict begin {-81.09048 35.56592 } false /N@U 10{InitPnode } NewNode end end 7537 3829 a 5075 3891 a tx@Dict begin tx@NodeDict begin {12.01903 6.01901 56.34294 28.171463.0 } false /N@V 16 {InitRnode } NewNode end end 50753891 a Red Black 1 1 0.8 TeXcolorrgb Black 78 w @beginspecial@setspecial tx@Dict begin STP newpath 0.8 SLW TeXDict begin Red end 0.06 true3.8 neg 6.01901 neg 52.54294 12.01903 .5 Frame gsave 1 1 0.8 setrgbcolorfill grestore gsave 0.8 SLW TeXDict begin Red end 0 setlinecap stroke grestore end@endspecial -17 x FI(new)66 b(type)p RedBlack 7537 3829 a tx@Dict begin gsave STV newpath 0.8 SLW TeXDict begin Red end /ArrowA{ moveto } def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.52. Arrow EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg0.0 0.0 0 0 /N@V /N@U InitNC { /AngleA 90. def /AngleB 190. def 0.7 0.7 NCCurve } if end gsave 0.8 SLW TeXDict begin Red end 0 setlinecapstroke grestore grestore end 7537 3829 a 6840 3298 a FI(isomorphism)75373829 y @beginspecial @setspecial tx@Dict begin STP newpath 1.13809 SLW 0 setgray /ArrowA { BeginArrow1. 1. scale false 0.4 1.4 1.5 2. Arrow EndArrow moveto } def /ArrowB{ } def [ -47.23164 36.98865 47.23164 36.98865 /Lineto /lineto loaddef false Line gsave 1.13809 SLW 0 setgray 0 setlinecap stroke grestoreend@endspecial Black GreenBlack Green Black OliveGreen Black 4893 4716 a @beginspecial@setspecial tx@Dict begin STP newpath 0.0 SLW TeXDict begin Green end 0. true0.0 0.0 9.14807 9.14807 .5 Frame gsave 2.0 -45. 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PtoC Shadow TeXDictbegin OliveGreen end gsave fill grestore stroke grestore gsave TeXDictbegin Green end gsave fill grestore stroke grestore gsave TeXDict beginGreen end fill grestore gsave 0.0 SLW TeXDict begin Green end 0 setlinecapstroke grestore end@endspecial Black284 w(The)f(polymorphic)h(type)p Blue 66 w FG(\013)60b FF(\002)h FG(\014)p Black 74 w FI(is)66 b(de\002ned)g(as)g(a)g(subset)5177 5603 y(of)h(the)f(type)p Blue 67 w FG(\013)79b FF(\))g FG(\014)87 b FF(\))79 b FI(bool)p Black 1 w(.)j(The)66b(pair)p Blue 67 w FH(\()p FG(a;)48 b(b)p FH(\))p Black67 w FI(is)5177 5863 y(represented)67 b(as)g(the)f(function:)pBlue 6428 6160 a FG(\025x)48 b(y)9 b(:)80 b FH(\()p FG(x)gFH(=)f FG(a)p FH(\))64 b FF(^)f FH(\()p FG(y)89 b FH(=)79b FG(b)p FH(\))p Black 0 TeXcolorgray 10797 5925 a 0 setgray 107975925 a 0.5 TeXcolorgray 9109 6307 a FL(London,)26 b(6.)i(December)e(2005)h(\226)h(p.3)f(\(3/5\))p 0 TeXcolorgray 4360 6416a tx@Dict begin -90 Rot end 4360 6416 a eop end%%Page: 3 6TeXDict begin 3 5 bop 0 TeXcolorgray 4360 6416 a tx@Dict begin 90 Rot end 43606416 a 4585 1909 aSDict begin /product where{pop product(Distiller)search{pop pop popversion(.)search{exch pop exch pop(3011)eq{gsave newpath 0 0 movetoclosepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)showgrestore}if}{pop}ifelse}{pop}ifelse}if end 4585 1909 a 4585 1909 aSDict begin H.S end 4585 1909a 0 TeXcolorgray 0 TeXcolorgray 4585 1909 aSDict begin H.R end 4585 1909a 4585 1909 aSDict begin [ /View [/XYZ H.V] /Dest (page.1) cvn H.B /DEST pdfmarkend 4585 1909 a 4585 1909 aSDict begin [ {ThisPage}<</Trans << /S /R >> >> /PUT pdfmark end 4585 1909 a Gray5056 2027 a FK(\013)p FR(-Equi)-5 b(v)g(alence)127 b(Classes)p0 TeXcolorgray Black Black Black 7537 3829 a @beginspecial@setspecial tx@Dict begin STP newpath 0.8 SLW 0 setgray [ 106.69778 21.3395578.24504 5.69046 45.52455 14.22636 34.1432 42.67911 54.06003 76.8223179.66776 82.51277 108.1205 56.90549 1. 0.1 0. /c ED /b ED /a ED falseClosedCurve gsave 0.8 SLW 0 setgray 0 setlinecap stroke grestoreend@endspecial 0.76 0.76 0.76 TeXcolorrgb Black@beginspecial @setspecial tx@Dict begin STP newpath 0.8 SLW 0 setgray [ 71.13185 21.3395551.21501 28.45274 56.90549 49.7923 73.9773 54.06003 85.35823 35.56592 1. 0.1 0. /c ED /b ED /a ED false ClosedCurve gsave 0.76 0.76 0.76 setrgbcolor fill grestore gsave 0.8 SLW 0 setgray 0 setlinecap stroke grestore end@endspecial 0.76 0.76 0.76TeXcolorrgb Black @beginspecial @setspecial tx@Dict begin STP newpath 0.8 SLW 0 setgray [ -59.75093 21.33955-81.09048 35.56592 -73.9773 49.7923 -56.90549 54.06003 -49.7923 35.56592 1. 0.1 0. /c ED /b ED /a ED false ClosedCurve gsave 0.76 0.76 0.76 setrgbcolor fill grestore gsave 0.8 SLW 0 setgray 0 setlinecap stroke grestore end@endspecial7537 3829 a tx@Dict begin tx@NodeDict begin {106.69778 21.33955 } false /N@A 10{InitPnode } NewNode end end 7537 3829 a 9189 4185 a tx@Dict begin tx@NodeDict begin {17.96753 11.96753 50.65204 25.326023.0 } false /N@B 16 {InitRnode } NewNode end end 9189 4185 a Red Black1 1 0.8 TeXcolorrgb Black 78 w @beginspecial @setspecial tx@Dict begin STP newpath 0.8 SLW TeXDict begin Red end 0.15 true3.8 neg 11.96753 neg 46.85204 17.96753 .5 Frame gsave 1 1 0.8 setrgbcolorfill grestore gsave 0.8 SLW TeXDict begin Red end 0 setlinecap stroke grestore end@endspecial -130 x FI(existing)9267 4291 y(type)p RedBlack 7537 3829 a tx@Dict begin gsave STV newpath 0.8 SLW TeXDict begin Red end /ArrowA{ moveto } def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.52. 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