2 %%Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software
3 %%Title: expose-berlin.dvi
6 %%Orientation: Landscape
7 %%BoundingBox: 0 0 596 842
9 %DVIPSWebPage: (www.radicaleye.com)
10 %DVIPSCommandLine: dvips expose-berlin.dvi -o
11 %DVIPSParameters: dpi=600, compressed
12 %DVIPSSource: TeX output 2002.03.21:1951
13 %%BeginProcSet: texc.pro
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71 %%BeginProcSet: pstricks.pro
73 % PostScript prologue for pstricks.tex.
74 % Version 97 patch 3, 98/06/01
75 % For distribution, see pstricks.tex.
77 /tx@Dict 200 dict def tx@Dict begin
79 /CM { matrix currentmatrix } bind def
80 /SLW /setlinewidth load def
81 /CLW /currentlinewidth load def
82 /CP /currentpoint load def
83 /ED { exch def } bind def
85 /T /translate load def
88 /Atan { /atan load stopped { pop pop 0 } if } def
89 /Div { dup 0 eq { pop } { div } ifelse } def
90 /NET { neg exch neg exch T } def
91 /Pyth { dup mul exch dup mul add sqrt } def
92 /PtoC { 2 copy cos mul 3 1 roll sin mul } def
93 /PathLength@ { /z z y y1 sub x x1 sub Pyth add def /y1 y def /x1 x def }
95 /PathLength { flattenpath /z 0 def { /y1 ED /x1 ED /y2 y1 def /x2 x1 def
96 } { /y ED /x ED PathLength@ } {} { /y y2 def /x x2 def PathLength@ }
97 /pathforall load stopped { pop pop pop pop } if z } def
98 /STP { .996264 dup scale } def
99 /STV { SDict begin normalscale end STP } def
100 /DashLine { dup 0 gt { /a .5 def PathLength exch div } { pop /a 1 def
101 PathLength } ifelse /b ED /x ED /y ED /z y x add def b a .5 sub 2 mul y
102 mul sub z Div round z mul a .5 sub 2 mul y mul add b exch Div dup y mul
103 /y ED x mul /x ED x 0 gt y 0 gt and { [ y x ] 1 a sub y mul } { [ 1 0 ]
104 0 } ifelse setdash stroke } def
105 /DotLine { /b PathLength def /a ED /z ED /y CLW def /z y z add def a 0 gt
106 { /b b a div def } { a 0 eq { /b b y sub def } { a -3 eq { /b b y add
107 def } if } ifelse } ifelse [ 0 b b z Div round Div dup 0 le { pop 1 } if
108 ] a 0 gt { 0 } { y 2 div a -2 gt { neg } if } ifelse setdash 1
109 setlinecap stroke } def
110 /LineFill { gsave abs CLW add /a ED a 0 dtransform round exch round exch
111 2 copy idtransform exch Atan rotate idtransform pop /a ED .25 .25
112 % DG/SR modification begin - Dec. 12, 1997 - Patch 2
113 %itransform translate pathbbox /y2 ED a Div ceiling cvi /x2 ED /y1 ED a
114 itransform pathbbox /y2 ED a Div ceiling cvi /x2 ED /y1 ED a
115 % DG/SR modification end
116 Div cvi /x1 ED /y2 y2 y1 sub def clip newpath 2 setlinecap systemdict
117 /setstrokeadjust known { true setstrokeadjust } if x2 x1 sub 1 add { x1
118 % DG/SR modification begin - Jun. 1, 1998 - Patch 3 (from Michael Vulis)
119 % a mul y1 moveto 0 y2 rlineto stroke /x1 x1 1 add def } repeat grestore }
121 a mul y1 moveto 0 y2 rlineto stroke /x1 x1 1 add def } repeat grestore
123 % DG/SR modification end
124 /BeginArrow { ADict begin /@mtrx CM def gsave 2 copy T 2 index sub neg
125 exch 3 index sub exch Atan rotate newpath } def
126 /EndArrow { @mtrx setmatrix CP grestore end } def
127 /Arrow { CLW mul add dup 2 div /w ED mul dup /h ED mul /a ED { 0 h T 1 -1
128 scale } if w neg h moveto 0 0 L w h L w neg a neg rlineto gsave fill
130 /Tbar { CLW mul add /z ED z -2 div CLW 2 div moveto z 0 rlineto stroke 0
132 /Bracket { CLW mul add dup CLW sub 2 div /x ED mul CLW add /y ED /z CLW 2
133 div def x neg y moveto x neg CLW 2 div L x CLW 2 div L x y L stroke 0
135 /RoundBracket { CLW mul add dup 2 div /x ED mul /y ED /mtrx CM def 0 CLW
136 2 div T x y mul 0 ne { x y scale } if 1 1 moveto .85 .5 .35 0 0 0
137 curveto -.35 0 -.85 .5 -1 1 curveto mtrx setmatrix stroke 0 CLW moveto }
139 /SD { 0 360 arc fill } def
140 /EndDot { { /z DS def } { /z 0 def } ifelse /b ED 0 z DS SD b { 0 z DS
141 CLW sub SD } if 0 DS z add CLW 4 div sub moveto } def
142 /Shadow { [ { /moveto load } { /lineto load } { /curveto load } {
143 /closepath load } /pathforall load stopped { pop pop pop pop CP /moveto
144 load } if ] cvx newpath 3 1 roll T exec } def
145 /NArray { aload length 2 div dup dup cvi eq not { exch pop } if /n exch
147 /NArray { /f ED counttomark 2 div dup cvi /n ED n eq not { exch pop } if
148 f { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse } def
149 /Line { NArray n 0 eq not { n 1 eq { 0 0 /n 2 def } if ArrowA /n n 2 sub
150 def n { Lineto } repeat CP 4 2 roll ArrowB L pop pop } if } def
151 /Arcto { /a [ 6 -2 roll ] cvx def a r /arcto load stopped { 5 } { 4 }
152 ifelse { pop } repeat a } def
153 /CheckClosed { dup n 2 mul 1 sub index eq 2 index n 2 mul 1 add index eq
154 and { pop pop /n n 1 sub def } if } def
155 /Polygon { NArray n 2 eq { 0 0 /n 3 def } if n 3 lt { n { pop pop }
156 repeat } { n 3 gt { CheckClosed } if n 2 mul -2 roll /y0 ED /x0 ED /y1
157 ED /x1 ED x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div def x1 y1
158 moveto /n n 2 sub def n { Lineto } repeat x1 y1 x0 y0 6 4 roll Lineto
159 Lineto pop pop closepath } ifelse } def
160 /Diamond { /mtrx CM def T rotate /h ED /w ED dup 0 eq { pop } { CLW mul
161 neg /d ED /a w h Atan def /h d a sin Div h add def /w d a cos Div w add
162 def } ifelse mark w 2 div h 2 div w 0 0 h neg w neg 0 0 h w 2 div h 2
163 div /ArrowA { moveto } def /ArrowB { } def false Line closepath mtrx
165 % DG modification begin - Jan. 15, 1997
166 %/Triangle { /mtrx CM def translate rotate /h ED 2 div /w ED dup 0 eq {
167 %pop } { CLW mul /d ED /h h d w h Atan sin Div sub def /w w d h w Atan 2
168 %div dup cos exch sin Div mul sub def } ifelse mark 0 d w neg d 0 h w d 0
169 %d /ArrowA { moveto } def /ArrowB { } def false Line closepath mtrx
171 /Triangle { /mtrx CM def translate rotate /h ED 2 div /w ED dup
172 CLW mul /d ED /h h d w h Atan sin Div sub def /w w d h w Atan 2
173 div dup cos exch sin Div mul sub def mark 0 d w neg d 0 h w d 0
174 d /ArrowA { moveto } def /ArrowB { } def false Line closepath mtrx
175 % DG/SR modification begin - Jun. 1, 1998 - Patch 3 (from Michael Vulis)
178 % DG/SR modification end
179 /CCA { /y ED /x ED 2 copy y sub /dy1 ED x sub /dx1 ED /l1 dx1 dy1 Pyth
181 /CCA { /y ED /x ED 2 copy y sub /dy1 ED x sub /dx1 ED /l1 dx1 dy1 Pyth
183 /CC { /l0 l1 def /x1 x dx sub def /y1 y dy sub def /dx0 dx1 def /dy0 dy1
184 def CCA /dx dx0 l1 c exp mul dx1 l0 c exp mul add def /dy dy0 l1 c exp
185 mul dy1 l0 c exp mul add def /m dx0 dy0 Atan dx1 dy1 Atan sub 2 div cos
186 abs b exp a mul dx dy Pyth Div 2 div def /x2 x l0 dx mul m mul sub def
187 /y2 y l0 dy mul m mul sub def /dx l1 dx mul m mul neg def /dy l1 dy mul
189 /IC { /c c 1 add def c 0 lt { /c 0 def } { c 3 gt { /c 3 def } if }
190 ifelse /a a 2 mul 3 div 45 cos b exp div def CCA /dx 0 def /dy 0 def }
192 /BOC { IC CC x2 y2 x1 y1 ArrowA CP 4 2 roll x y curveto } def
193 /NC { CC x1 y1 x2 y2 x y curveto } def
194 /EOC { x dx sub y dy sub 4 2 roll ArrowB 2 copy curveto } def
195 /BAC { IC CC x y moveto CC x1 y1 CP ArrowA } def
196 /NAC { x2 y2 x y curveto CC x1 y1 } def
197 /EAC { x2 y2 x y ArrowB curveto pop pop } def
198 /OpenCurve { NArray n 3 lt { n { pop pop } repeat } { BOC /n n 3 sub def
199 n { NC } repeat EOC } ifelse } def
200 /AltCurve { { false NArray n 2 mul 2 roll [ n 2 mul 3 sub 1 roll ] aload
201 /Points ED n 2 mul -2 roll } { false NArray } ifelse n 4 lt { n { pop
202 pop } repeat } { BAC /n n 4 sub def n { NAC } repeat EAC } ifelse } def
203 /ClosedCurve { NArray n 3 lt { n { pop pop } repeat } { n 3 gt {
204 CheckClosed } if 6 copy n 2 mul 6 add 6 roll IC CC x y moveto n { NC }
205 repeat closepath pop pop } ifelse } def
206 /SQ { /r ED r r moveto r r neg L r neg r neg L r neg r L fill } def
207 /ST { /y ED /x ED x y moveto x neg y L 0 x L fill } def
208 /SP { /r ED gsave 0 r moveto 4 { 72 rotate 0 r L } repeat fill grestore }
210 /FontDot { DS 2 mul dup matrix scale matrix concatmatrix exch matrix
211 rotate matrix concatmatrix exch findfont exch makefont setfont } def
212 /Rect { x1 y1 y2 add 2 div moveto x1 y2 lineto x2 y2 lineto x2 y1 lineto
213 x1 y1 lineto closepath } def
214 /OvalFrame { x1 x2 eq y1 y2 eq or { pop pop x1 y1 moveto x2 y2 L } { y1
215 y2 sub abs x1 x2 sub abs 2 copy gt { exch pop } { pop } ifelse 2 div
216 exch { dup 3 1 roll mul exch } if 2 copy lt { pop } { exch pop } ifelse
217 /b ED x1 y1 y2 add 2 div moveto x1 y2 x2 y2 b arcto x2 y2 x2 y1 b arcto
218 x2 y1 x1 y1 b arcto x1 y1 x1 y2 b arcto 16 { pop } repeat closepath }
220 /Frame { CLW mul /a ED 3 -1 roll 2 copy gt { exch } if a sub /y2 ED a add
221 /y1 ED 2 copy gt { exch } if a sub /x2 ED a add /x1 ED 1 index 0 eq {
222 pop pop Rect } { OvalFrame } ifelse } def
223 /BezierNArray { /f ED counttomark 2 div dup cvi /n ED n eq not { exch pop
224 } if n 1 sub neg 3 mod 3 add 3 mod { 0 0 /n n 1 add def } repeat f { ]
225 aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse } def
226 /OpenBezier { BezierNArray n 1 eq { pop pop } { ArrowA n 4 sub 3 idiv { 6
227 2 roll 4 2 roll curveto } repeat 6 2 roll 4 2 roll ArrowB curveto }
229 /ClosedBezier { BezierNArray n 1 eq { pop pop } { moveto n 1 sub 3 idiv {
230 6 2 roll 4 2 roll curveto } repeat closepath } ifelse } def
231 /BezierShowPoints { gsave Points aload length 2 div cvi /n ED moveto n 1
232 sub { lineto } repeat CLW 2 div SLW [ 4 4 ] 0 setdash stroke grestore }
234 /Parab { /y0 exch def /x0 exch def /y1 exch def /x1 exch def /dx x0 x1
235 sub 3 div def /dy y0 y1 sub 3 div def x0 dx sub y0 dy add x1 y1 ArrowA
236 x0 dx add y0 dy add x0 2 mul x1 sub y1 ArrowB curveto /Points [ x1 y1 x0
237 y0 x0 2 mul x1 sub y1 ] def } def
238 /Grid { newpath /a 4 string def /b ED /c ED /n ED cvi dup 1 lt { pop 1 }
239 if /s ED s div dup 0 eq { pop 1 } if /dy ED s div dup 0 eq { pop 1 } if
240 /dx ED dy div round dy mul /y0 ED dx div round dx mul /x0 ED dy div
241 round cvi /y2 ED dx div round cvi /x2 ED dy div round cvi /y1 ED dx div
242 round cvi /x1 ED /h y2 y1 sub 0 gt { 1 } { -1 } ifelse def /w x2 x1 sub
243 0 gt { 1 } { -1 } ifelse def b 0 gt { /z1 b 4 div CLW 2 div add def
244 /Helvetica findfont b scalefont setfont /b b .95 mul CLW 2 div add def }
245 if systemdict /setstrokeadjust known { true setstrokeadjust /t { } def }
246 { /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add
247 exch itransform } bind def } ifelse gsave n 0 gt { 1 setlinecap [ 0 dy n
248 div ] dy n div 2 div setdash } { 2 setlinecap } ifelse /i x1 def /f y1
249 dy mul n 0 gt { dy n div 2 div h mul sub } if def /g y2 dy mul n 0 gt {
250 dy n div 2 div h mul add } if def x2 x1 sub w mul 1 add dup 1000 gt {
251 pop 1000 } if { i dx mul dup y0 moveto b 0 gt { gsave c i a cvs dup
252 stringwidth pop /z2 ED w 0 gt {z1} {z1 z2 add neg} ifelse h 0 gt {b neg}
253 {z1} ifelse rmoveto show grestore } if dup t f moveto g t L stroke /i i
254 w add def } repeat grestore gsave n 0 gt
255 % DG/SR modification begin - Nov. 7, 1997 - Patch 1
256 %{ 1 setlinecap [ 0 dx n div ] dy n div 2 div setdash }
257 { 1 setlinecap [ 0 dx n div ] dx n div 2 div setdash }
258 % DG/SR modification end
259 { 2 setlinecap } ifelse /i y1 def /f x1 dx mul
260 n 0 gt { dx n div 2 div w mul sub } if def /g x2 dx mul n 0 gt { dx n
261 div 2 div w mul add } if def y2 y1 sub h mul 1 add dup 1000 gt { pop
262 1000 } if { newpath i dy mul dup x0 exch moveto b 0 gt { gsave c i a cvs
263 dup stringwidth pop /z2 ED w 0 gt {z1 z2 add neg} {z1} ifelse h 0 gt
264 {z1} {b neg} ifelse rmoveto show grestore } if dup f exch t moveto g
265 exch t L stroke /i i h add def } repeat grestore } def
266 /ArcArrow { /d ED /b ED /a ED gsave newpath 0 -1000 moveto clip newpath 0
267 1 0 0 b grestore c mul /e ED pop pop pop r a e d PtoC y add exch x add
268 exch r a PtoC y add exch x add exch b pop pop pop pop a e d CLW 8 div c
270 /Ellipse { /mtrx CM def T scale 0 0 1 5 3 roll arc mtrx setmatrix } def
271 /Rot { CP CP translate 3 -1 roll neg rotate NET } def
272 /RotBegin { tx@Dict /TMatrix known not { /TMatrix { } def /RAngle { 0 }
273 def } if /TMatrix [ TMatrix CM ] cvx def /a ED a Rot /RAngle [ RAngle
274 dup a add ] cvx def } def
275 /RotEnd { /TMatrix [ TMatrix setmatrix ] cvx def /RAngle [ RAngle pop ]
277 /PutCoor { gsave CP T CM STV exch exec moveto setmatrix CP grestore } def
278 /PutBegin { /TMatrix [ TMatrix CM ] cvx def CP 4 2 roll T moveto } def
279 /PutEnd { CP /TMatrix [ TMatrix setmatrix ] cvx def moveto } def
280 /Uput { /a ED add 2 div /h ED 2 div /w ED /s a sin def /c a cos def /b s
281 abs c abs 2 copy gt dup /q ED { pop } { exch pop } ifelse def /w1 c b
282 div w mul def /h1 s b div h mul def q { w1 abs w sub dup c mul abs } {
283 h1 abs h sub dup s mul abs } ifelse } def
284 /UUput { /z ED abs /y ED /x ED q { x s div c mul abs y gt } { x c div s
285 mul abs y gt } ifelse { x x mul y y mul sub z z mul add sqrt z add } { q
286 { x s div } { x c div } ifelse abs } ifelse a PtoC h1 add exch w1 add
288 /BeginOL { dup (all) eq exch TheOL eq or { IfVisible not { Visible
289 /IfVisible true def } if } { IfVisible { Invisible /IfVisible false def
291 /InitOL { /OLUnit [ 3000 3000 matrix defaultmatrix dtransform ] cvx def
292 /Visible { CP OLUnit idtransform T moveto } def /Invisible { CP OLUnit
293 neg exch neg exch idtransform T moveto } def /BOL { BeginOL } def
294 /IfVisible true def } def
299 %%BeginProcSet: pst-dots.pro
301 %%Title: Dot Font for PSTricks 97 - Version 97, 93/05/07.
302 %%Creator: Timothy Van Zandt <tvz@Princeton.EDU>
303 %%Creation Date: May 7, 1993
306 /FontMatrix [ .001 0 0 .001 0 0 ] def
307 /FontBBox [ 0 0 0 0 ] def
308 /Encoding 256 array def
309 0 1 255 { Encoding exch /.notdef put } for
311 dup (b) 0 get /Bullet put
312 dup (c) 0 get /Circle put
313 dup (C) 0 get /BoldCircle put
314 dup (u) 0 get /SolidTriangle put
315 dup (t) 0 get /Triangle put
316 dup (T) 0 get /BoldTriangle put
317 dup (r) 0 get /SolidSquare put
318 dup (s) 0 get /Square put
319 dup (S) 0 get /BoldSquare put
320 dup (q) 0 get /SolidPentagon put
321 dup (p) 0 get /Pentagon put
322 (P) 0 get /BoldPentagon put
328 /SolidTriangle 1344 def
330 /BoldTriangle 1344 def
334 /SolidPentagon 1093.2 def
336 /BoldPentagon 1093.2 def
341 /Circle { -550 -550 550 550 } def
342 /BoldCircle /Circle load def
343 /Bullet /Circle load def
344 /Triangle { -571.5 -330 571.5 660 } def
345 /BoldTriangle /Triangle load def
346 /SolidTriangle /Triangle load def
347 /Square { -450 -450 450 450 } def
348 /BoldSquare /Square load def
349 /SolidSquare /Square load def
350 /Pentagon { -546.6 -465 546.6 574.7 } def
351 /BoldPentagon /Pentagon load def
352 /SolidPentagon /Pentagon load def
353 /.notdef { 0 0 0 0 } def
355 /CharProcs 20 dict def
358 2 copy dtransform floor .5 add exch floor .5 add exch idtransform
359 3 -1 roll div 3 1 roll exch div exch scale
361 /CirclePath { 0 0 500 0 360 arc closepath } def
362 /Bullet { 500 500 Adjust CirclePath fill } def
363 /Circle { 500 500 Adjust CirclePath .9 .9 scale CirclePath eofill } def
364 /BoldCircle { 500 500 Adjust CirclePath .8 .8 scale CirclePath eofill } def
365 /BoldCircle { CirclePath .8 .8 scale CirclePath eofill } def
367 0 660 moveto -571.5 -330 lineto 571.5 -330 lineto closepath
369 /SolidTriangle { TrianglePath fill } def
370 /Triangle { TrianglePath .85 .85 scale TrianglePath eofill } def
371 /BoldTriangle { TrianglePath .7 .7 scale TrianglePath eofill } def
373 -450 450 moveto 450 450 lineto 450 -450 lineto -450 -450 lineto
376 /SolidSquare { SquarePath fill } def
377 /Square { SquarePath .89 .89 scale SquarePath eofill } def
378 /BoldSquare { SquarePath .78 .78 scale SquarePath eofill } def
387 /SolidPentagon { PentagonPath fill } def
388 /Pentagon { PentagonPath .89 .89 scale PentagonPath eofill } def
389 /BoldPentagon { PentagonPath .78 .78 scale PentagonPath eofill } def
395 Metrics 1 index get exec 0
396 BBoxes 3 index get exec
398 CharProcs begin load exec end
402 1 index /Encoding get exch get
403 1 index /BuildGlyph get exec
406 /PSTricksDotFont exch definefont pop
410 %%BeginProcSet: special.pro
412 TeXDict begin/SDict 200 dict N SDict begin/@SpecialDefaults{/hs 612 N
413 /vs 792 N/ho 0 N/vo 0 N/hsc 1 N/vsc 1 N/ang 0 N/CLIP 0 N/rwiSeen false N
414 /rhiSeen false N/letter{}N/note{}N/a4{}N/legal{}N}B/@scaleunit 100 N
415 /@hscale{@scaleunit div/hsc X}B/@vscale{@scaleunit div/vsc X}B/@hsize{
416 /hs X/CLIP 1 N}B/@vsize{/vs X/CLIP 1 N}B/@clip{/CLIP 2 N}B/@hoffset{/ho
417 X}B/@voffset{/vo X}B/@angle{/ang X}B/@rwi{10 div/rwi X/rwiSeen true N}B
418 /@rhi{10 div/rhi X/rhiSeen true N}B/@llx{/llx X}B/@lly{/lly X}B/@urx{
419 /urx X}B/@ury{/ury X}B/magscale true def end/@MacSetUp{userdict/md known
420 {userdict/md get type/dicttype eq{userdict begin md length 10 add md
421 maxlength ge{/md md dup length 20 add dict copy def}if end md begin
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1720 %%Feature: *Resolution 600dpi
1726 1 0 bop -45 -282 5906 7 v -45 -44 a Fh(The)93 b(LogiCal)i(team)p
1727 -45 11 V -45 636 a Fg(Lo)5 b(cated)63 b(on)g(t)-5 b(w)g(o)63
1728 b(sites)-45 1097 y(-)g(INRIA-Ro)5 b(cquencourt)62 b(\(4)i(p)5
1729 b(ermanen)-5 b(t)61 b(+)h(3)h(PhD)g(studen)-5 b(ts\))-45
1730 1455 y(-)63 b(Orsa)-5 b(y)62 b(Univ)-5 b(ersit)g(y)61
1731 b(and)h(CNRS)h(\(4)h(p)5 b(ermanen)-5 b(t)61 b(+)h(4)i(PhD)f(studen)-5
1732 b(ts\))-45 1916 y(Both)63 b(close)f(to)i(P)-5 b(aris)5860
1735 5860 4036 a -45 3997 5906 10 v -45 4204 a Ff(15)43
1736 b(Mars)g(2002)812 b Fe(LogiCal)60 b(team)d(-)h(INRIA)g(Ro)5
1737 b(cquencourt)1179 b Ff(P)m(age)43 b(1)p eop
1739 2 1 bop -45 -282 5906 7 v -45 -44 a Fh(LogiCal:)126 b(main)94
1740 b(activities)p -45 11 V -45 636 a Fg(-)63 b(F)-16 b(undamen)-5
1741 b(tal)61 b(researc)-5 b(h)62 b(on)h(pro)5 b(of)63 b(theory)-45
1742 994 y(-)g(Dev)-5 b(elopmen)g(t)60 b(of)i(the)h(Co)5 b(q)63
1743 b(pro)5 b(of)63 b(assistan)-5 b(t)-45 1351 y(-)63 b(Pro)5
1744 b(of)63 b(dev)-5 b(elopmen)g(t)60 b(in)i(Co)5 b(q)5860
1747 5860 4036 a -45 3997 5906 10 v -45 4204 a Ff(15)43
1748 b(Mars)g(2002)812 b Fe(LogiCal)60 b(team)d(-)h(INRIA)g(Ro)5
1749 b(cquencourt)1179 b Ff(P)m(age)43 b(2)p eop
1751 3 2 bop -45 -282 5906 7 v -45 -44 a Fh(The)93 b(Co)8
1752 b(q)94 b(pro)8 b(of)94 b(assistan)-8 b(t)p -45 11 V -45
1753 636 a Fg(Based)63 b(on)g(the)f(Calculus)g(of)h(Inductiv)-5
1754 b(e)60 b(Constructions)-45 994 y(-)j(A)g(logical)f(strength)h
1755 (comparable)e(to)i(ZF)-45 1351 y(-)g(The)f(functional)f(expressivit)-5
1756 b(y)61 b(of)h(\(a)i(higher-order\))d(ML)-45 1709 y(-)i(The)f(logical)g
1757 (expressivit)-5 b(y)60 b(of)j(natural)f(deduction)g(and)g(inductiv)-5
1758 b(ely)59 b(de\014ned)-45 1985 y(prop)5 b(ositions)-45
1759 2549 y(Not)64 b(as)f(automatized)f(as)i(PVS,)g(A)-5 b(CL2,)63
1760 b(...)85 b(for)63 b(pro)5 b(of-of-programs)-45 2907 y(Pro)g(of)64
1761 b(scripting)d(not)i(as)h(mathematician-readable)59 b(as)64
1764 5860 4036 a -45 3997 5906 10 v -45
1765 4204 a Ff(15)43 b(Mars)g(2002)812 b Fe(LogiCal)60 b(team)d(-)h(INRIA)g
1766 (Ro)5 b(cquencourt)1179 b Ff(P)m(age)43 b(3)p eop
1768 4 3 bop -45 -282 5906 7 v -45 -44 a Fh(A)93 b(Co)8 b(q)94
1769 b(script)p -45 11 V -45 649 a Fd(Fixpoint)g(minus)e([n:nat])h(:)e(nat)h
1770 (->)f(nat)g(:=)136 893 y([m:nat]Cases)k(n)c(m)g(of)1040
1771 1137 y(O)g(_)f(=>)i(O)769 1381 y(|)e(\(S)i(k\))f(O)g(=>)g(\(S)g(k\))769
1772 1625 y(|)f(\(S)i(k\))f(\(S)g(l\))g(=>)g(\(minus)i(k)e(l\))678
1773 1868 y(end.)-45 2356 y(Lemma)i(minus_plus_simpl)j(:)678
1774 2600 y(\(n,m,p:nat\)\(\(min)q(us)h(n)91 b(m\)=\(minus)j(\(plus)e(p)f
1775 (n\))g(\(plus)h(p)f(m\)\)\).)-45 2844 y(Proof.)136 3088
1776 y(Induction)j(p;)d(Simpl;)i(Auto)f(with)g(arith.)-45
1777 3331 y(Qed.)5860 4036 y
1779 5860 4036 a -45 3997 5906 10
1780 v -45 4204 a Ff(15)43 b(Mars)g(2002)812 b Fe(LogiCal)60
1781 b(team)d(-)h(INRIA)g(Ro)5 b(cquencourt)1179 b Ff(P)m(age)43
1784 5 4 bop -45 -282 5906 7 v -45 -44 a Fh(A)93 b(Co)8 b(q)94
1785 b(script)p -45 11 V -45 635 a Fd(Coq)e(<)f(Print)h(minus_plus_simpl.)
1786 -45 879 y([n,m,p:nat])46 1123 y(\(nat_ind)h([n0:nat]\(minus)j(n)91
1787 b(m\)=\(minus)j(\(plus)e(n0)f(n\))h(\(plus)g(n0)f(m\)\))226
1788 1366 y(\(refl_equal)k(nat)d(\(minus)g(n)f(m\)\))226 1610
1789 y([p0:nat;)j(IHp:\(\(minus)h(n)90 b(m\)=\(minus)k(\(plus)f(p0)e(n\))g
1790 (\(plus)i(p0)e(m\)\)\)]IHp)i(p\))407 1854 y(:)e(\(n,m,p:nat\)\(minus)97
1791 b(n)91 b(m\)=\(minus)j(\(plus)e(p)f(n\))g(\(plus)i(p)d(m\)\))5860
1794 5860 4036 a -45 3997 5906 10 v -45 4204 a Ff(15)43
1795 b(Mars)g(2002)812 b Fe(LogiCal)60 b(team)d(-)h(INRIA)g(Ro)5
1796 b(cquencourt)1179 b Ff(P)m(age)43 b(5)p eop
1798 6 5 bop -45 -282 5906 7 v -45 -44 a Fh(Rendered)94 b(b)-8
1799 b(y)93 b(HELM)p -45 11 V -45 602 a Fc(DEFINITION)54 b
1800 (minus_plus_simpl\(\))-45 744 y(TYPE)h(=)339 886 y(for)g(all)f
1801 (n:nat.for)g(all)h(m:nat.for)f(all)g
1802 (p:nat.\(\(n-m\)=\(\(p+n\)-\(p+m\)\)\))-45 1028 y(BODY)h(=)339
1803 1170 y(lambda)g(n:nat)449 1313 y(lambda)f(m:nat)559 1455
1804 y(lambda)g(p:nat)669 1597 y(We)g(prove)h
1805 (\(\(n-m\)=\(\(p+n\)-\(p+m\)\)\))669 1739 y(by)f(induction)g(on)h(p)888
1806 1882 y(Case)g(O)1108 2024 y(\(refl_equal)e(.)i(.\))1163
1807 2166 y(we)f(proved)109 b(\(\(n-m\)=\(n-m\)\))888 2308
1808 y(Case)55 b(\(S)f(n0:nat\))1108 2450 y(By)g(induction)g(hypothesis,)g
1809 (we)h(have:)1108 2593 y(\(H\))f(\(\(n-m\)=\(\(n0+n\)-\(n0+m\)\)\))1108
1810 2735 y(H)669 2877 y(we)g(proved)g(\(\(n-m\)=\(\(p+n\)-\(p+m\)\)\))394
1811 3019 y(we)h(proved)109 b(for)54 b(all)h(n:nat.)f(for)h(all)f(m:nat.)h
1812 (for)f(all)h(p:nat.)f(\(\(n-m\)=\(\(p+n\)-\(p+m\)\)\))5860
1815 5860 4036 a -45 3997 5906 10 v -45 4204 a Ff(15)43
1816 b(Mars)g(2002)812 b Fe(LogiCal)60 b(team)d(-)h(INRIA)g(Ro)5
1817 b(cquencourt)1179 b Ff(P)m(age)43 b(6)p eop
1819 7 6 bop -45 -282 5906 7 v -45 -44 a Fh(Main)93 b(Co)8
1820 b(q)94 b(libraries)p -45 11 V -45 647 a Fg(-)63 b(Arithmetic)e(\(P)-5
1821 b(eano)63 b(n)-5 b(um)g(b)5 b(ers)61 b(and)i(binary)e(in)-5
1822 b(tegers\))-45 1004 y(-)63 b(Axiomatized)e(real)h(n)-5
1823 b(um)g(b)5 b(ers)61 b(\(deriv)-10 b(abilit)-5 b(y)-16
1824 b(,)59 b(trigonometry)-16 b(,)62 b(series,)h(...\))-45
1825 1362 y(-)g(Algebra)f(\(algebraic)g(structures,)i(fundamen)-5
1826 b(tal)60 b(theorem)i(of)h(algebra,)-45 1638 y(categories,)g(...\))-45
1827 1996 y(-)g(Sets,)g(relations,)g(orders,)g(logics)-45
1828 2353 y(-)g(Planar)f(geometry)-45 2711 y(-)h(Computer)f(science)f
1829 (structures)i(\(b)5 b(o)g(oleans,)64 b(lists,)f(maps,)g(automatas,)h
1830 (...\))-45 3068 y([13)g(standard)f(libraries)e(+)h(70)i(extra)e(user)h
1831 (con)-5 b(tributions])5860 4036 y
1833 5860 4036 a -45 3997
1834 5906 10 v -45 4204 a Ff(15)43 b(Mars)g(2002)812 b Fe(LogiCal)60
1835 b(team)d(-)h(INRIA)g(Ro)5 b(cquencourt)1179 b Ff(P)m(age)43
1838 8 7 bop -45 -282 5906 7 v -45 -44 a Fh(The)93 b(Bologna)i(HELM)d(exp)8
1839 b(erimen)-8 b(t)p -45 11 V -45 636 a Fg(Exp)5 b(ort)63
1840 b(of)g(Co)5 b(q)63 b(formal)e(pro)5 b(ofs)64 b(to)f(XML)g(format)-45
1841 994 y(Application)e(of)i(XSL)-16 b(T)63 b(\014lters)g(for)f(output)h
1842 (in)-45 1351 y(-)g(Natural)g(language)-45 1709 y(-)g(MathML)g(Con)-5
1843 b(ten)g(t)-45 2066 y(-)63 b(MathML)g(presen)-5 b(tation)-45
1844 2424 y(Computation)62 b(of)h(the)g(dep)5 b(endency)60
1847 5860 4036 a -45 3997 5906 10 v -45
1848 4204 a Ff(15)43 b(Mars)g(2002)812 b Fe(LogiCal)60 b(team)d(-)h(INRIA)g
1849 (Ro)5 b(cquencourt)1179 b Ff(P)m(age)43 b(8)p eop
1851 9 8 bop -45 -282 5906 7 v -45 -44 a Fh(Our)93 b(problems)p
1852 -45 11 V -45 636 a Fg(-)63 b(Classi\014cation)-45 994
1853 y(-)g(Retrieving)-45 1351 y(-)g(Pro)5 b(of)63 b(rendering)-45
1854 1709 y(-)g(Mo)5 b(dularit)-5 b(y)5860 4036 y
1857 a -45 3997 5906 10 v -45 4204 a Ff(15)43 b(Mars)g(2002)812
1858 b Fe(LogiCal)60 b(team)d(-)h(INRIA)g(Ro)5 b(cquencourt)1179
1859 b Ff(P)m(age)43 b(9)p eop
1861 10 9 bop -45 -282 5906 7 v -45 -44 a Fh(Classifying)p
1862 -45 11 V -45 647 a Fg(-)63 b(Thematically)d(\(but)j(sometimes)e(at)j
1863 (the)e(in)-5 b(tersection)62 b(of)g(sev)-5 b(eral)62
1864 b(\014elds\))-45 1004 y(-)h(By)f(author)-45 1362 y(-)h(By)f(v)-5
1865 b(ersion)61 b(of)i(Co)5 b(q)-45 1719 y(Curren)-5 b(tly)-16
1866 b(,)62 b(classi\014ed)f(b)-5 b(y)62 b(v)-5 b(ersion,)62
1867 b(site,)h(theory)g(+)f(thematic)g(cross)-45 1996 y(classi\014cation)
1870 5860 4036 a -45 3997 5906 10 v -45 4204 a
1871 Ff(15)43 b(Mars)g(2002)812 b Fe(LogiCal)60 b(team)d(-)h(INRIA)g(Ro)5
1872 b(cquencourt)1116 b Ff(P)m(age)43 b(10)p eop
1874 11 10 bop -45 -282 5906 7 v -45 -44 a Fh(Retrieving)p
1875 -45 11 V -45 647 a Fg(-)63 b(By)f(pattern)h(\(but)g(ho)-5
1876 b(w)62 b(to)i(iden)-5 b(tify)60 b Fb(n)53 b(<)f(p)41
1877 b Fg(+)h(1)63 b(and)g Fb(n)52 b Fa(\024)g Fb(p)p Fg(\))-45
1878 1004 y(-)63 b(By)f(isomorphism)e(\(e.g.)85 b Fb(A)53
1879 b Fa(!)f(8)p Fb(x:B)9 b Fg(\()p Fb(x)p Fg(\))53 b Fa(!)f
1880 Fb(C)66 b Fa(\021)52 b(8)p Fb(x:B)9 b Fg(\()p Fb(x)p
1881 Fg(\))42 b Fa(^)g Fb(A)53 b Fa(!)e Fb(C)13 b Fg(\))-45
1882 1362 y(-)63 b(By)f(name)g(\(but)h(no)f(standard:)85 b(e.g.)f(comm)-5
1883 b(utativit)g(y)60 b(is)j(sometimes)e(called)-45 1638
1884 y(symmetry\))5860 4036 y
1886 5860 4036 a -45 3997 5906 10
1887 v -45 4204 a Ff(15)43 b(Mars)g(2002)812 b Fe(LogiCal)60
1888 b(team)d(-)h(INRIA)g(Ro)5 b(cquencourt)1116 b Ff(P)m(age)43
1891 12 11 bop -45 -282 5906 7 v -45 -44 a Fh(Pro)8 b(of)94
1892 b(rendering)p -45 11 V -45 647 a Fg(-)63 b(T)-16 b(o)63
1893 b(b)5 b(e)63 b(able)f(to)i(render)d(a)i(pro)5 b(of)63
1894 b(in)f(h)-5 b(uman-understandable)60 b(format)i(\(cf)-45
1895 923 y(HELM)h(and)g(Natural)g(exp)5 b(erimen)-5 b(ts\),)61
1896 b(but)i(still)e(problem)g(with)i(the)f(detail)-45 1199
1897 y(lev)-5 b(els)-45 1557 y(-)63 b(Con\015ict)f(b)5 b(et)-5
1898 b(w)g(een)62 b(v)-5 b(erb)5 b(osit)-5 b(y)61 b(and)i(automation)5860
1901 5860 4036 a -45 3997 5906 10 v -45 4204 a Ff(15)43
1902 b(Mars)g(2002)812 b Fe(LogiCal)60 b(team)d(-)h(INRIA)g(Ro)5
1903 b(cquencourt)1116 b Ff(P)m(age)43 b(12)p eop
1905 13 12 bop -45 -282 5906 7 v -45 -44 a Fh(Mo)8 b(dularit)-8
1906 b(y)p -45 11 V -45 636 a Fg(-)63 b(Curren)-5 b(tly)61
1907 b(no)i(mo)5 b(dule)-45 994 y(-)63 b(T)-16 b(o)63 b(b)5
1908 b(e)63 b(able)f(to)i(express)e(theories)g(indep)5 b(enden)-5
1909 b(tly)59 b(of)k(a)g(sp)5 b(eci\014c)-45 1270 y(implemen)-5
1910 b(tation)-45 1628 y(Relations)62 b(with)h(OMDo)5 b(c?)5860
1913 5860 4036 a -45 3997 5906 10 v -45 4204 a Ff(15)43
1914 b(Mars)g(2002)812 b Fe(LogiCal)60 b(team)d(-)h(INRIA)g(Ro)5
1915 b(cquencourt)1116 b Ff(P)m(age)43 b(13)p eop
1918 userdict /end-hook known{end-hook}if
projects / helm.git / blob