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Nko1[N@ʹX oJ (P^=`"m@ɶ0թ}(tq9w$G@" 2` b08"񖵱^Q1(F x:O1zZ*u*Hj;=_*x캏זڝRYiL@hv0]`^k7J9 rLnvJ 20`N5t1V$<Amb%418ebpZ o+4pImlte7(}NZxLsm럶m_[`l=pkYs6К584^ら,7$cxju /uTeR89>$z~^YdB5)G W)״P/ZzZZW*{8f`*BF"ȶrwJ9UDZcIb*s?:%YvX.g[ѱDa{Y53lm|VmܮmLv;BضaL'IAP' P ry >tm=yPK!H(drs/downrev.xmlDQK0߅ptED1 0|h&ܔܬpf? #@ ֫R^'MFPvFW&\MJ+)YWaD)DS&KAE v}g`. x۹nRy"Ǯޯ_z5 A^љFs¨ el rPK-!Zf[Content_Types].xmlPK-!1_a /_rels/.relsPK-!$ *drs/shapexml.xmlPK-!H(adrs/downrev.xmlPKb PWF>___PPT9    25/11/2009*       [ \ l`T?6Slide Number Placeholder 4"PK!Zf[Content_Types].xmlMO &2WR=cJ`F0iK`#̼vLw 9uSq:w`G ^i ½KI)c/ $oVjTMRc|}042ҥCƔM̏P~*ka/8^DkHbL8e i"K\XN\6rco4y@_;oPK!1_a _rels/.relsj0 ѽqCNo^K [ILcX&m߾0XFo;>0xM e`|X}đ I`߽N4aG2$RKIZ)4(M9`ctB{m:f@`3n|O,ܗr޾jxR0T ,0@}WBLǬ5vPK!DK^ drs/shapexml.xmlVn8}/@uڊ\*EF`(*֚"){HuӇb(y̑߼ݷ성VM^O(Qa1:*&=K^MێಲyWЍs]>[-u't6-s8qg1@M&5^Õڭۭ if("Z6 w}[ CVqѲp&n?{ -5!C2 e?K(ޠć*$.w&,C wFUX|J*Q?r4pZ Rkn; $jPʆGlժWrJv|1M&33QmG3?ioj A[siֲ_?}(\L+|hǍǨ{by|m6fw$n0f}ABxj5:HlDp ;+Oy±dV3Vzel[7$T>Ḗ~Xw5@[vC.S{Q#pR > 1!Љ^?[5n5B+wM|m;|lG1QƱrQ 6+8@ĄqtL .aZaݙw4±FCJ2vY swtb1Rʷ,A_._DAAv˦PK-!Zf[Content_Types].xmlPK-!1_a /_rels/.relsPK-!DK^ *drs/shapexml.xmlPK-!x))drs/downrev.xmlPK PWF>___PPT9    *,      \ `_?*Footer Placeholder 5"yPK!Zf[Content_Types].xmlMO &2WR=cJ`F0iK`#̼vLw 9uSq:w`G ^i ½KI)c/ $oVjTMRc|}042ҥCƔM̏P~*ka/8^DkHbL8e i"K\XN\6rco4y@_;oPK!1_a _rels/.relsj0 ѽqCNo^K [ILcX&m߾0XFo;>0xM e`|X}đ I`߽N4aG2$RKIZ)4(M9`ctB{m:f@`3n|O,ܗr޾jxR0T ,0@}WBLǬ5vPK!drs/shapexml.xmlUo0~hCۨj+MB*se2;la˴: &9 KG?]5m.+59]:dIbR~ՍPЕhIc1@L0YzLzjHUtHb5Bvd\,, 4=6z!+&°_(MZD{>T稐bxۆY)M}lh_.KPQ izef8a0Lހt$f-cݽGgE]'y!|8ǕB፠6oE}xfGlN/gg@хYz>h20bON33ҺJqlpaX$ 1r THPRgւMԭY V&\a@˭:5,Z`pSY}NSȚm矰g,{mq+ʽvoM`i4O뼝^1x9<傉c8,q1ꞦX_uUVRTҜ@vw0fmNBxR5 ,Hp +Oډo8gVS2Vzj.lkw'^S|q-ZyZZVp-PDmbϮGEqf_e ~NTlurⶍ(9R:ZcEvcbG܈y@L|٘C*0tko޳C7PK!7?drs/downrev.xmlDMK@Eax;;1""Q(.}f^i\r/rَb;kzN4ޑ+1l77k6"CW`H)TRr7E^@.w'-c/uKQE۳U0|ɺq7___PPT9    G. Berry, Collge de France,,     f \ @a?Title 60j  F>___PPT9  (Automates cellulaires : le jeu de la vie)((   e???y___PPT10Y+D=' = @B +"( ''11a'(  `~ f  brP `3 &Group 322pb{  ` H rTextBox 209@A1/>F9 \"(   ` HrTextBox 129rFEDr!EJr?, \"(    ` HrTextBox 183rFE*EJi5 \"(    ` HrTextBox 156rFEs&J0 `" (    ` D rTextBox 8  \"(    ` F@rTextBox 10h \"(    ` F`rTextBox 11l" \"(   ` FrTextBox 12$ ! & \"(   ` FrTextBox 13%(* \"(   ` FrTextBox 14). \"(   ` FrTextBox 15> -2 \"(   ` FrTextBox 16&1B%6 \"(   ` F`0rTextBox 17,5+: \"(   ` F1rTextBox 18X391> \"(   ` F2rTextBox 199=\8B \"(   ` F@rTextBox 20@A>F \"(   ` F8rTextBox 21rFEEJ \"(   ` F !WTextBox 22LIvKN \"(   ` F@"WTextBox 23.SMQR \"(   ` F`#WTextBox 28*pQnV \"(   ` F$WTextBox 29vU.uZ \"(   ` F%WTextBox 30|Y{^ \"(   ` F&WTextBox 31D]b \"(   ` F'WTextBox 32aHf \"(   ` F)WTextBox 33ej \"(    ` F *WTextBox 34^in \"(   !` F@+WTextBox 35mbr \"(   "` F?rTextBox 36  \"(   #` F@>rTextBox 37h \"(   $` F :rTextBox 38l" \"(   %` F@;rTextBox 39$ ! & \"(   &` F` 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F0tTextBox 86aGLg# `" (   M` F1tTextBox 87eGj# \"(   N` F3tTextBox 88^iGn# \"(   O` F 4tTextBox 89mGbr# \"(   P` F@5tTextBox 90 C' \"(   Q` F`6tTextBox 91hC' \"(   R` F7tTextBox 92p"C' `" (   S` F8tTextBox 93$ !Λ&C' `" (   T` F9tTextBox 94%,*C' `" (   U` F:tTextBox 95).C' \"(   V` F -2C' \"(   W` F=tTextBox 97&1B%6C' \"(   X` F>tTextBox 98,5+:C' \"(   Y` FPuTextBox 99X391>C' \"(   Z` H QuTextBox 1009=\8BC' \"(   [` H@RuTextBox 101@A>FC' \"(   \` H`SuTextBox 102rFEEJC' \"(   ]` HTuTextBox 103LIvKNC' \"(   ^` HUuTextBox 104.SMQRC' \"(   _` HVuTextBox 109*pQnVC' \"(   `` HWuTextBox 110vU2[C' `" (   a` HYuTextBox 111|Y{^C' \"(   b` H ZuTextBox 112D]bC' \"(   c` H@[uTextBox 113aLgC' `" (   d` H`\uTextBox 114ejC' \"(   e` H]uTextBox 115^inC' \"(   f` H^uTextBox 116mbrC' \"(   g` H`uTextBox 117 Dr!r?, \"(   h` H auTextBox 118hDr!r?, \"(   i` H@buTextBox 119Dr!l"r?, \"(   j` H`cuTextBox 120$ !Dr! &r?, \"(   k` HduTextBox 121%Dr!(*r?, \"(   l` HfuTextBox 122)Dr!.r?, \"(   m` H guTextBox 123> 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F%OԝmOGDnd @tB1oYn>:+HΰZa8POJ A|gK S)KmvhS7.>KMJԍV)'#@A~R.QVc mڻK @U`!_ֱsZXZ(NV<@6ߵx,\0k{ *\iB[5]Y.hf rS>'[pl O;/-eu6A{U?صڬQa`͚YPχ;` q7F$E2BJ0'{OBeAI&Yr]M"C=g+i<+zZZYU;-3R)Ѻ܍@aOZ$~ZgpIE<hQ{o#a\3j0&mkYS'ʵoB7 aہ1#n̞_$MC$30@=;t?[$zPK!H(drs/downrev.xmlDQK0߅ptED1 0|h&ܔܬpf? #@ ֫R^'MFPvFW&\MJ+)YWaD)DS&KAE v}g`. x۹nRy"Ǯޯ_z5 A^љFs¨ el rPK-!Zf[Content_Types].xmlPK-!1_a /_rels/.relsPK-!rD*drs/shapexml.xmlPK-!H(ndrs/downrev.xmlPKo PWF>___PPT9    25/11/2009*        l Ӓ?TEspace rserv du numro de diapositive 4"PK!Zf[Content_Types].xmlMO &2WR=cJ`F0iK`#̼vLw 9uSq:w`G ^i ½KI)c/ $oVjTMRc|}042ҥCƔM̏P~*ka/8^DkHbL8e i"K\XN\6rco4y@_;oPK!1_a _rels/.relsj0 ѽqCNo^K [ILcX&m߾0XFo;>0xM e`|X}đ I`߽N4aG2$RKIZ)4(M9`ctB{m:f@`3n|O,ܗr޾jxR0T ,0@}WBLǬ5vPK!/Lr drs/shapexml.xmlVn8/w x-\[4B"vn0hMIy}w㏇zl4/ UEP8 gru(8Kp[ƺB8+l3p)=|)j;}o4<RnD~TIEivryY=89ղ0bOA33ҺI$Cå b 3/ M,V%5"o@bݪkZx,\l&fTZpuNI,ոr j)q9Zd[l&#DT{[g }î׮4[}g(/8rq7\]S7:B Z l 0 “`=Ad-p3POop_y;W Y{J/UmR0='ү/V˺.PDmcϾG'١Eqď*nz`;ØkE/F i=S>Spqg׆A3ex|\ߎNN(E2L/g4N8^#Z" HT{4OB f}g+< PK!x))drs/downrev.xmlDQK0Co.ma"uِ M|6wm Iu>;|lG1QƱrQ 6+8@ĄqtL .aZaݙw4±FCJ2vY swtb1Rʷ,A_._DAAv˦PK-!Zf[Content_Types].xmlPK-!1_a /_rels/.relsPK-!/Lr *drs/shapexml.xmlPK-!x))drs/downrev.xmlPK PWF>___PPT9    *,     @ l x@;?BEspace rserv du pied de page 5"ÏPK!Zf[Content_Types].xmlMO &2WR=cJ`F0iK`#̼vLw 9uSq:w`G ^i ½KI)c/ $oVjTMRc|}042ҥCƔM̏P~*ka/8^DkHbL8e i"K\XN\6rco4y@_;oPK!1_a _rels/.relsj0 ѽqCNo^K [ILcX&m߾0XFo;>0xM e`|X}đ I`߽N4aG2$RKIZ)4(M9`ctB{m:f@`3n|O,ܗr޾jxR0T ,0@}WBLǬ5vPK!k+drs/shapexml.xmlUn1}G, M/n+ZQ@)hKe{C?;1MSx@ a3ŦUl-o.3,| ]2Z|+=82\־%%Xk)뤗:P@V ѠFs빝(̱*gZ|- o^omd*,-%A5zaasi6 INX>SL+G_QOI2m;9)] *|M熎Uf(i28ζg2yeBn0NśhLu>YNpԇ>D us!fPm[m~<[?J73QbHTIԕQ%i?%(asLm-_&)_IP\@+liE-A c;Zz\"![KK{jt`$V]j\'V:->/s+bNފlMp;'O-.e >p}[Ew&5x<܀IEo*mxz$-* i͗&CK^[p(]$%LYWrb]i3Og+"!+@=龎Ԫ!j"AjmfΘ:U_}$8U:4.X;fTSŭMHPe&7u<7+4NS?;!b^N|_W>P'8E!)+E!|?:.&3___PPT9    G. Berry, Collge de France,,     Q l @&&?Titre 60j  F>___PPT9  oFonction rcursives    l h`*?8Espace rserv du contenu 1" PK!Zf[Content_Types].xmlMO &2WR=cJ`F0iK`#̼vLw 9uSq:w`G ^i ½KI)c/ $oVjTMRc|}042ҥCƔM̏P~*ka/8^DkHbL8e i"K\XN\6rco4y@_;oPK!1_a _rels/.relsj0 ѽqCNo^K [ILcX&m߾0XFo;>0xM e`|X}đ I`߽N4aG2$RKIZ)4(M9`ctB{m:f@`3n|O,ܗr޾jxR0T ,0@}WBLǬ5vPK!̝ikdrs/shapexml.xml]Mr6wwpqD&xvhd(fM,*WCo]Α$})J@4E /ILL(7xA:{{u#RQ>qʙ-^HfrޭR٨ד-K|fý0 US2$*xQY/^@V|>BcA9Mʌϟ$ϟ,'A9x)QW>2P4e!iB_Q>xAϔkUD%,.-Mhd겧aHCNNϡ; Hq|~6$:i&{|O@ڥkt5_a*l-u )0BCTߋ\WQY5Tپ4Uj;܀ߟPq 03hr<6#>U ߀D-N}D-T ) ImxhB@b>]<@9l>@ Wi,Y, .BJʶ;/cva*yONKZf, Q,RMX7hTHcf_sw!)NvJGPo Ʌ& .O$#* P]>|k}ZdqЇZ7JӉ9t{-SeĵB{#V!9O"MCs>τ2Q1&G]#f+L]q4ToZ5 *X0j'%Φ<7/ ?U7-n,[(] {G!B*y(q݀]Z@XRmU.SHc]0YY>p 3TPPrǀfy E;.[7Y&4ʭkCk>6J;;а)ӎ4h7@Y m?]=D}!} `4weo]1|+t\[5nP, H^pƏMJ!*j47V$8 &P:Б́bSB$qeHuLVZ;TաJz,FhMQ*P*Hhsa"3Z`QRm:.@Taݦ d|6Bb݆%a.[x1*1$ұ_jG`Op Zc 'dzّ z$DNE;6t!Vv0;MҏU&iyp#J$mDv ;$ 5D4DR n*CZn:gs\-qˢIB&ɊwڮAQ܃!A8`nb\0$w{8yUgiΥg华lTVu;9ck`^[/n^YkI/Ė8gR5ةZSlķ2T؉ kZV5R;DJK`&ߒ܎cLFWcbclÈ8{/6#5fxMnع6Vт!aH\mp򄜝8`#Ȑ6N ><8rgLV0Ϋ$Y@E:UmVh,o7$&ڋ#*\c/@59/P_sҚ'R0X@w(=ApE B+BBA}`_6. K g)eةWRge!Їwnz^j>E,#٘n(_h۱x?!Psm [<8ǡD!"J1V {yPK!drs/downrev.xmlDAK1BCجE֦Ԣm=N7M$qwXL|J=m#l"- 50xM e`|X}đ I`߽N4aG2$RKIZ)4(M9`ctB{m:f@`3n|O,ܗr޾jxR0T ,0@}WBLǬ5vPK!CbP&drs/shapexml.xmlW͎0#)e"vCr^ u`;m7Il' uR+5q<|ߌ7oW$KalUJ=J:+EJ?:XTƤV"kaۣTC[JܹjZ>%/u%d6%sx4+cJzݒZN#i91RzHb%\゘WV+Մk優IB[q2`! &̰oXjCT0N^mClMy_>v F(Y#} A' B !!WuwPJ܅:k!O1#}3M(ogk͌h=Mэw(uRr|X8^죤tR '2 :Ri5@AJJ2Hq,bUR3V"! 7VmO%fڛiƁD7xQtMbwEwF]7$u9K qG ?⥠2ǖAo =D AMUE_aÎ뀾pJ}v?;f8 p WkwKSFvyOyƄڢSLj==,T~: Xj0k yJsh Chz7nUa$JkMz+!cV3,2XN0:^<9w7Cw-ul322c6-bA8P]dtBd5)qnj'!L)3@{+ʰmQRؓW*&cax^5x/o0kN3ǕKڬK3R#i@RZdFa%pv[ˡ4],$"ҷR^ThJtI5SRQˆT@pu>QITh%"U;œ%7oS?%JFKtK*.sz_/"c\{8‘E5Go0tPK!;drs/downrev.xmlDJ1E،ҎMKn-u: $CLއ ˹jt)&i|a"eI7 ,u|E67!>ܕRڐ4 y!:c#uāᮕOE*Z;0TgǔAnc^o'=~ o 2:M=/P`u9D+LvcSPK-!Zf[Content_Types].xmlPK-!1_a /_rels/.relsPK-!CbP&*drs/shapexml.xmlPK-!;qdrs/downrev.xmlPKrp `* ZPour un prdicat P : Np {0,1}, soit m m.P(m) le plus petit m tel que P(m) est vrai s il existe, ou l indfini sinon*u0i   ,u ~ e???XP___PPT100+dD' = @B D' = @BA?%,( < +O%,( < +Da' =%(%(D' =%(D' =ABBB@B0B%(D' =1:Bvisible*o3>+B#style.visibility<*l%(DA' =%(D' =%(D' =ABBB@B0B%(D' =1:Bvisible*o3>+B#style.visibility<*l%(DA' =%(D' =%(D' =ABBB@B0B%(D' =1:Bvisible*o3>+B#style.visibility<*l%(DA' =%(D' =%(D' =ABBB@B0B%(D' =1:Bvisible*o3>+B#style.visibility<*l%(DA' =%(D' =%(D' =ABBB@B0B%(D' =1:Bvisible*o3>+B#style.visibility<*lL%(DA' =%(D' =%(D' =ABBB@B0B%(D' =1:Bvisible*o3>+B#style.visibility<*lLr%(+8+0+l +"A 77 p7(  p p h@"?8Espace rserv du contenu 1"PK![Content_Types].xml|N0 HC+jS8 @:Q۸ ??\o<7p]V޷O(I'6E=, ){Ō4>I)q7UuDހǏ)}nL"Mᴸ&g0eSA)΄2';2 WYu7{ɯΒzŘqFrj9K*(]mOlPK!Z,[ _rels/.relslj0 ``t_Pƈ[>,dgzjǎ?I'f#®Pb-\/Ƿ0Z]nLnp__3.iJV KQBiDžrL,Vʌ/7р4`ANar+m;E/'3U Aںv83/PK!`Pdrs/downrev.xmlDMK@EB NK"nZ37a晦./r.g\F l`@Wv8>^@EA{&g.XX=iTp,@+2ZǪ%q>8CmS^YvvZ辥 >o4ҘTށKR/jg GP0ܒiPK-![Content_Types].xmlPK-!Z,[ _rels/.relsPK-!`Pdrs/downrev.xmlPK  && H$   Un ensemble E N est rcursif si son prdicat d appartenance E : N{0,1} est rcursif total Un ensemble E N est rcursivement numrable si son prdicat d appartenance E : Np {0,1} est rcursif partiel,] q  +  ~ p n A?8Espace rserv de la date 3"zPK!Zf[Content_Types].xmlMO &2WR=cJ`F0iK`#̼vLw 9uSq:w`G ^i ½KI)c/ $oVjTMRc|}042ҥCƔM̏P~*ka/8^DkHbL8e i"K\XN\6rco4y@_;oPK!1_a _rels/.relsj0 ѽqCNo^K [ILcX&m߾0XFo;>0xM e`|X}đ I`߽N4aG2$RKIZ)4(M9`ctB{m:f@`3n|O,ܗr޾jxR0T ,0@}WBLǬ5vPK!rDdrs/shapexml.xmlUn0 ;]ΨS ċL%y>G_l4m\P&ş䗋MZ[jLys3B%.RarrΙu9(2[i㇋:5h:Kӱb)+u-t68:E6Jt(P:nSA|Lp=gKn=3S> _m B2hY?=\2,'ـw[sk2)P~S-VM&/U~ {>T'dO)P @)Lulh_. F%OԝmOGDnd @tB1oYn>:+HΰZa8POJ A|gK S)KmvhS7.>KMJԍV)'#@A~R.QVc mڻK @U`!_ֱsZXZ(NV<@6ߵx,\0k{ *\iB[5]Y.hf rS>'[pl O;/-eu6A{U?صڬQa`͚YPχ;` q7F$E2BJ0'{OBeAI&Yr]M"C=g+i<+zZZYU;-3R)Ѻ܍@aOZ$~ZgpIE<hQ{o#a\3j0&mkYS'ʵoB7 aہ1#n̞_$MC$30@=;t?[$zPK!H(drs/downrev.xmlDQK0߅ptED1 0|h&ܔܬpf? #@ ֫R^'MFPvFW&\MJ+)YWaD)DS&KAE v}g`. x۹nRy"Ǯޯ_z5 A^љFs¨ el rPK-!Zf[Content_Types].xmlPK-!1_a /_rels/.relsPK-!rD*drs/shapexml.xmlPK-!H(ndrs/downrev.xmlPKo PWF>___PPT9    25/11/2009*        p B?TEspace rserv du numro de diapositive 4"PK!Zf[Content_Types].xmlMO &2WR=cJ`F0iK`#̼vLw 9uSq:w`G ^i ½KI)c/ $oVjTMRc|}042ҥCƔM̏P~*ka/8^DkHbL8e i"K\XN\6rco4y@_;oPK!1_a _rels/.relsj0 ѽqCNo^K [ILcX&m߾0XFo;>0xM e`|X}đ I`߽N4aG2$RKIZ)4(M9`ctB{m:f@`3n|O,ܗr޾jxR0T ,0@}WBLǬ5vPK!/Lr drs/shapexml.xmlVn8/w x-\[4B"vn0hMIy}w㏇zl4/ UEP8 gru(8Kp[ƺB8+l3p)=|)j;}o4<RnD~TIEivryY=89ղ0bOA33ҺI$Cå b 3/ M,V%5"o@bݪkZx,\l&fTZpuNI,ոr j)q9Zd[l&#DT{[g }î׮4[}g(/8rq7\]S7:B Z l 0 “`=Ad-p3POop_y;W Y{J/UmR0='ү/V˺.PDmcϾG'١Eqď*nz`;ØkE/F i=S>Spqg׆A3ex|\ߎNN(E2L/g4N8^#Z" HT{4OB f}g+< PK!x))drs/downrev.xmlDQK0Co.ma"uِ M|6wm Iu>;|lG1QƱrQ 6+8@ĄqtL .aZaݙw4±FCJ2vY swtb1Rʷ,A_._DAAv˦PK-!Zf[Content_Types].xmlPK-!1_a /_rels/.relsPK-!/Lr *drs/shapexml.xmlPK-!x))drs/downrev.xmlPK PWF>___PPT9    *,     : p xC?BEspace rserv du pied de page 5"ÉPK!Zf[Content_Types].xmlMO &2WR=cJ`F0iK`#̼vLw 9uSq:w`G ^i ½KI)c/ $oVjTMRc|}042ҥCƔM̏P~*ka/8^DkHbL8e i"K\XN\6rco4y@_;oPK!1_a _rels/.relsj0 ѽqCNo^K [ILcX&m߾0XFo;>0xM e`|X}đ I`߽N4aG2$RKIZ)4(M9`ctB{m:f@`3n|O,ܗr޾jxR0T ,0@}WBLǬ5vPK!%drs/shapexml.xmlUn1}G, M/n+ZQ@)hKe{C?;1MSx@ a3ŦUl-o.3,| ]2Z|+=82\־%%Xk)뤗:P@V ѠFs빝(̱*gZ|- o^omd*,-%A5zaasi6 INX>SL+G_QOI2m;9)] *|M熎Uf(i28ζg2yeBn0NśhLu>YNpԇ>D us!fPm[m~<[?J73QbHTIԕQ%i?%(asLm-_&)_IP\@+liE-A c;Zz\"![KK{jt`$V]j\'V:->/s+bNފlMp;'O-.e >p}[Ew&5x<܀IEo*mxz$-* i͗&CK^[p(]$%LYWrb]i3Og+"!+@=龎Ԫ!j"AjmfΘ:ɾ WJ\ Ӟ*k*B2⮦Cq 2aۅ~=:[8?'oYpTv1P/1aake /V;xQ_>X6f99BWv=?޳___PPT9    G. 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Berry, Collge de France,,       AD@ {??L450px-Alan_Turing_Memorial_CloserPicture 156450px-Alan_Turing_Memorial_Closer.jpg   N 7jJZoneTexte 7 G  ZAlan Turing (1912-1954) 1936 : grands thormes 1940 : casse le code allemand Enigma 1952 : condamn pour homosexualit castr chimiquement 1954 : suicide (?) 2009 : excuses de Gordon Brown B        T@8jJZoneTexte 8"PK![Content_Types].xml|N0 HC+jS8 @:Q۸ ??\o<7p]V޷O(I'6E=, ){Ō4>I)q7UuDހǏ)}nL"Mᴸ&g0eSA)΄2';2 WYu7{ɯΒzŘqFrj9K*(]mOlPK!Z,[ _rels/.relslj0 ``t_Pƈ[>,dgzjǎ?I'f#®Pb-\/Ƿ0Z]nLnp__3.iJV KQBiDžrL,Vʌ/7р4`ANar+m;E/'3U Aںv83/PK!UTdrs/downrev.xmlDN0DHH\u(m N)"#۴cqhFob!.fvWuo5)c#WGK*?ԉ q$PJ[͖rR1tR:d(ҒqAۯEŕ6o6T~?{#w Q=Ԧ+QO q F5M%PK-![Content_Types].xmlPK-!Z,[ _rels/.relsPK-!UTdrs/downrev.xmlPK  V,$D A lui qui aimait tant l argument diagonal, donnons le prix Turing titre posthumeSS S   e???___PPT10+-|DO' = @B D ' = @BA?%,( < +O%,( < +DA' =%(D' =%(D' =ABBB@B0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(+8+0+ +"u2 +++(  ^  j=?:Espace rserv du contenu 11 `v  Thorme : l ensemble des m tels que Fm est une fonction totale n est pas rcursif T  "%- ~  n<?8Espace rserv de la date 1"{PK!Zf[Content_Types].xmlMO &2WR=cJ`F0iK`#̼vLw 9uSq:w`G ^i ½KI)c/ $oVjTMRc|}042ҥCƔM̏P~*ka/8^DkHbL8e i"K\XN\6rco4y@_;oPK!1_a _rels/.relsj0 ѽqCNo^K [ILcX&m߾0XFo;>0xM e`|X}đ I`߽N4aG2$RKIZ)4(M9`ctB{m:f@`3n|O,ܗr޾jxR0T ,0@}WBLǬ5vPK!ϣdrs/shapexml.xmlTKn0nD'"IP(VMIosbrdQP3{3sqYsc+%3=P%SE%099:%yFO:eiSѥs:M˖{4+,mҁ@Hz(tzgKn=3*2ڣDB!Y hY?=I&-͵`0b+& da7V&?"խC$dOVb H7 PeIl3:/RqAѰz$f-"QF g. u1>'դX"Tz~ qn󱔥2;Ji3; .ókMFčE# d9Vc 4gå@j0Ӑ/ AX@% XX6G||kqXha*)tW 4N!8U%Nլ rj6cv;i5/F۽?hJV77=N)vsJkhjS/2q B%%wYrwb1RGfeY+iѸ0`zXsɧ=ptånRD9M[/]+(An9QTݲiPK-!Zf[Content_Types].xmlPK-!1_a /_rels/.relsPK-!ϣ*drs/shapexml.xmlPK-!xbUodrs/downrev.xmlPKp PWF>___PPT9    25/11/2009*          :?TEspace rserv du numro de diapositive 2"PK!Zf[Content_Types].xmlMO &2WR=cJ`F0iK`#̼vLw 9uSq:w`G ^i ½KI)c/ $oVjTMRc|}042ҥCƔM̏P~*ka/8^DkHbL8e i"K\XN\6rco4y@_;oPK!1_a _rels/.relsj0 ѽqCNo^K [ILcX&m߾0XFo;>0xM e`|X}đ I`߽N4aG2$RKIZ)4(M9`ctB{m:f@`3n|O,ܗr޾jxR0T ,0@}WBLǬ5vPK!* ;o drs/shapexml.xmlVn0G,ߢҦm6[u<8[cGS!hϱ㳝RB Ezs|~sΗ~%c+rP"Enrz{EuLLj%r9}uنಲY[皬߷V̾ԍPЕhnV(ղ? 5=+Y6 %~YR9QXa\po<ܓ%& Em+Wm~#n;[T 5_.g+9}%J58!} P˶W˒R#/#4a2yQ Ӑp[6ƺB?9+l3p)=|*j;}o4<RnDW6'x ]8!{ɩ9S~rʝ-N&ڼ_.5L|!\Anb*yr0V^cᢵ`s51kʝ+uHbUƕ[nUVq)ղ>'wd6O7[LDu6p=+O:Js 7q2.~ıUouO_,n)*iiz+)K&ͩBOZ^0@=a}IVVw]8T ^ M`p5{*O8_+_Uw5@ ]v]C{Q=p\u>P'1!n׈|IA!XTpn`L;%6 =, |jp|28=OzŬw1Nғd:OϾ`QN-PxM(=Z싧3 _@msPK!2kdrs/downrev.xmlDQK0Co.mElHAT_]lnBuݿ7z(DXA(@wN>o@ĄqtL NaXbݑ4±FCJ2vY swb1R˷܂ؿ[M%/PK-!Zf[Content_Types].xmlPK-!1_a /_rels/.relsPK-!* ;o *drs/shapexml.xmlPK-!2kdrs/downrev.xmlPK PWF>___PPT9    *,     :  x@;?BEspace rserv du pied de page 3"ÉPK!Zf[Content_Types].xmlMO &2WR=cJ`F0iK`#̼vLw 9uSq:w`G ^i ½KI)c/ $oVjTMRc|}042ҥCƔM̏P~*ka/8^DkHbL8e i"K\XN\6rco4y@_;oPK!1_a _rels/.relsj0 ѽqCNo^K [ILcX&m߾0XFo;>0xM e`|X}đ I`߽N4aG2$RKIZ)4(M9`ctB{m:f@`3n|O,ܗr޾jxR0T ,0@}WBLǬ5vPK!xe] %drs/shapexml.xmlUN1W;XVVlVPDz6^۲i79x UE.U盙/Z7R2.%\2UTr3JYPgt-}tS ^6]8NDz+%Jejpx46raZtSC%]LOjjHUdt@C~'rz~"ECt Rpa Wjg$'-m)M_X$TP.c Ǐ*luiCC*TY,)8J6&ɉ14|Cy2 -NIc&Rn:8+epΰXa؇WB A7Sb Sc) ef7 .i&qFH~2ʜFC m-܇K `&!_ VJ1GJ0||mqXha")tW 4N!U9nմ rj6ei5/wF۝kJV77<y3۾c,pLq!E4{҂4eSWYEH⌖h|A&YQ!<Śj\',H,0@i 5 VQmprQyF THp\KV/V4[va?&?,v5@Ƅ%|FHCT0Nl;0&vč>?(xy$l|qYLvko޳={GoPK!DGdrs/downrev.xmlDQK0Co.lHE{]lnBnu>;|F1adIycW߽=* f}}ҕgjpjS/2 B%%w: rwc쥉neQ___PPT9    G. 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Berry,,     v   @ ?Titre 4Ij  F>___PPT9  "l-calcul vs. CAML2     \ ?,Content Placeholder 5"  PK!Zf[Content_Types].xmlMO &2WR=cJ`F0iK`#̼vLw 9uSq:w`G ^i ½KI)c/ $oVjTMRc|}042ҥCƔM̏P~*ka/8^DkHbL8e i"K\XN\6rco4y@_;oPK!1_a _rels/.relsj0 ѽqCNo^K [ILcX&m߾0XFo;>0xM e`|X}đ I`߽N4aG2$RKIZ)4(M9`ctB{m:f@`3n|O,ܗr޾jxR0T ,0@}WBLǬ5vPK!YoQ*drs/shapexml.xmlZ]o }x|ˬZC4EM\[/, Y_kևiZY`{/pw7$kalUJuV~:PbSZn_xW%"lR޹*,%u%rmJjzV(&*eoJV(zz^͌/!Eҷ(VbKzd\k CNi\ ` zM5_Z9;e}Ê >j GumP%ܔϝ`!x[i0Q,G8'g8Q񒕱VRjw\ZQx"D, j<Hn+^kU be%3S3N&`o)EAe-TMx4Dwp1II&?cO1.l.[2aBuT݌.Ldg+1I|يϸ#ka~ٮąYgkY4HbGkDawRM0jxx0D[DSb q%("bE47'WKp[DsR)|2Cy(Q;j*C,ħ!xWzfC9+ϡ֖R FKJ_RFcղ|e@H"n3hޕykYMUS9DW:I`' ;%p! >rrp 9Bm.rVR:'I~m>BKfضpչNm9^W ;ؖ;'\h|"pum8dP+@\ඈDW{p}& g&9~󭸹T|N\;{MwY`UNj__vu6o$Sn ZYINVHQ QӽR\$KN]tTA*8;o U*da%k׼ B' ~hל7{_m9 G׉nXF$9z= lOũv9U(HGx*V@Mx*Ov sA ,Jv-LLf9w0A>% S#.\.ҽqG/ӂrF5]oW/Awa6D?AuDeIsir\G|PK!mkfdrs/downrev.xmlDN0HH\uJCUUDABN"b;ئMyz,p}d{fv޵oDL4 1‘#' ?MjEXBXIUǖ̏rg|r ԁny]wRCG#o:V͗Eبr9~/j2D0xM e`|X}đ I`߽N4aG2$RKIZ)4(M9`ctB{m:f@`3n|O,ܗr޾jxR0T ,0@}WBLǬ5vPK!v+[29drs/shapexml.xml[Qo:~t׫HiKS[Mtϕq6lBt`|;>vEќ)J.FLP>oG!"&\ %?>t:#`Lv:>2g2bVwr4PNv2 |C$+{E 1`$H:09A)t;J.F3]ZGֱ.V0PqU 0?|W;IHTVW]& w.`pp; N|IQh?`CAbpzv~ܵo̕6_mEX1js|WU긨;{wOCxrnwaŮBs#lrE ΅CC6&?oQu vY9LKx5L̒*pk%IF|<-0\9S"|x@=Q̒[2˳"K3_} p7Gs;}¦Y 9qW͘w^)SH'ZfhrLu*92N:3ל75҆ ~ b_rEb$JOvڅ2˜%#o&A@Kʮ$4&A>=$M۔@P+5 ^H+-PC3V.mkWqUm- ![޵֛=_݉4rE(le>YfSٷd >dˇ)h= Dpue: ʲD;Z&'6yomƃ!iTeU m\jnZ6mzP`dPkR-ͷ_ׄhYo3DmEŊ|3vh]h-niP5(ݮ^˦-zM|T?_~QN0WT NɁJ80Y#AI?*(\3 6OP)/: kyWsWYJ*׺!32Q} Nl;)NRK-wX,s-2F98=e؞3bD٩`vM*Sl|<dzmCƽvaț'<1L*ۃ&*+D&٫w4''>jk\8 ч|ץ4 dSJI<_aul5C?5_PK!3%drs/downrev.xmlDOK@GB2ov*nK)HR-mݰ;Ń7oL'.C묂,Ath5vΒl75]mN#"JlHQAܧR!azUxZj(7\$ɣ4ڸ`O((]Q~t=`<YU- a,|s L^APK-!Zf[Content_Types].xmlPK-!1_a /_rels/.relsPK-!v+[29*drs/shapexml.xmlPK-!3%drs/downrev.xmlPK2T,$D  tFact = Y (FACT) avec Y = (lx. ly.y(xxy)) (lx. ly.y(xxy))0i1i]]]]B s   V jJZoneTexte 14"PK![Content_Types].xml|N0 HC+jS8 @:Q۸ ??\o<7p]V޷O(I'6E=, ){Ō4>I)q7UuDހǏ)}nL"Mᴸ&g0eSA)΄2';2 WYu7{ɯΒzŘqFrj9K*(]mOlPK!Z,[ _rels/.relslj0 ``t_Pƈ[>,dgzjǎ?I'f#®Pb-\/Ƿ0Z]nLnp__3.iJV KQBiDžrL,Vʌ/7р4`ANar+m;E/'3U Aںv83/PK!ggdrs/downrev.xmlDAK1FBCY6-Ej+¶I)q7UuDހǏ)}nL"Mᴸ&g0eSA)΄2';2 WYu7{ɯΒzŘqFrj9K*(]mOlPK!Z,[ _rels/.relslj0 ``t_Pƈ[>,dgzjǎ?I'f#®Pb-\/Ƿ0Z]nLnp__3.iJV KQBiDžrL,Vʌ/7р4`ANar+m;E/'3U Aںv83/PK! _drs/downrev.xmlDA0 okZeEQDT<*GlKib[Y87|ٙR4T²x N.8Sp9o GXZ&/r\h/5'a*ҥ9tC[nk>:6M)GQ4  9V)}Fv57q_nR~ &w%xPK-![Content_Types].xmlPK-!Z,[ _rels/.relsPK-! _drs/downrev.xmlPK+U,$D2   RPjJEllipse 13"@E pip V   2   R QjJEllipse 15"@~S%w- V   B  B jZ)(Connecteur droit 17"@WoJS%     e???  ___PPT10 +(GD2 ' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =ABBB@B0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-o6Bwipe(up)*<3<* D' =%(D' =%(D3' =4B BB@B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-o6Bdissolve*<3<* DA' =%(D' =%(D' =ABBB@B0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(+p+0+  ++0+  +". -- -(  Z  hT?8Espace rserv du contenu 1W `j F>___PPT9  PLe codage unaire est inefficace, mais il implique que le l-calcul est Turing-completVV 6U  ~  n?8Espace rserv de la date 3"~PK!Zf[Content_Types].xmlMO &2WR=cJ`F0iK`#̼vLw 9uSq:w`G ^i ½KI)c/ $oVjTMRc|}042ҥCƔM̏P~*ka/8^DkHbL8e i"K\XN\6rco4y@_;oPK!1_a _rels/.relsj0 ѽqCNo^K [ILcX&m߾0XFo;>0xM e`|X}đ I`߽N4aG2$RKIZ)4(M9`ctB{m:f@`3n|O,ܗr޾jxR0T ,0@}WBLǬ5vPK!I drs/shapexml.xmlUn0 ;]ΨS ċL%y>G_l4m\2)|$\\n*Rc{I:/qsάAi)J/?\ԉ]F)_:W'KYk+,:VG*w Jcry=3^wae!gjkG+)`98\ ANjm7I~Qco :!}HƏl(MacC*tQ0*|x~ڥlS~: ?$r ~o0,^xXw+Y1(F p:!zR*u,j[=_jx&JYjL}G/`v0`^jWnJ9 rL쌲nJdh~]jB3 pӂZԂ@qZcᢵ)^ VhtW 4NتpA[5kP 9Z̄ck ڱ}iq-voFګf͍2kwx>YoH4ꞯ /uTeR89}z=, J2!̚#jy8[I8\@"GϪoᘁLPόEmnr {'ү$ժP+1an[˂>*___PPT9    25/11/2009*         @R?TEspace rserv du numro de diapositive 4"PK!Zf[Content_Types].xmlMO &2WR=cJ`F0iK`#̼vLw 9uSq:w`G ^i ½KI)c/ $oVjTMRc|}042ҥCƔM̏P~*ka/8^DkHbL8e i"K\XN\6rco4y@_;oPK!1_a _rels/.relsj0 ѽqCNo^K [ILcX&m߾0XFo;>0xM e`|X}đ I`߽N4aG2$RKIZ)4(M9`ctB{m:f@`3n|O,ܗr޾jxR0T ,0@}WBLǬ5vPK!|5u drs/shapexml.xmlVn8/w x-\[4B"vn0hMIy}w㏇zl4/ UEP8 gru(8Kp[ƺB8+l3p)=|)j;}hx-jsGlAO4.XzqreAargbguKI6WK f!_WAX@JkEހ źUlqXh-\Mr Xzիq喩lբSrJlɶ|0MFQm{3?h+ ^\onyUO``*7ˁUx/p]wM)*.he+)K&+BO^^0@=a}IVwp\1+dP+0ZWAJjT*p\KV,X-j@eB?d?{ູ|^cBܮ55L!XTpLm?0&vĝ_ОJyr1~;:9Mlf`2 .$;Mtzq jk'`:"o?4Si`_<U.a`_p8|vD-ѶgPK!x))drs/downrev.xmlDQK0Co.ma"uِ M|6wm Iu>;|lG1QƱrQ 6+8@ĄqtL .aZaݙw4±FCJ2vY swtb1Rʷ,A_._DAAv˦PK-!Zf[Content_Types].xmlPK-!1_a /_rels/.relsPK-!|5u *drs/shapexml.xmlPK-!x))drs/downrev.xmlPK PWF>___PPT9    *,     =  x`S?BEspace rserv du pied de page 5"ÌPK!Zf[Content_Types].xmlMO &2WR=cJ`F0iK`#̼vLw 9uSq:w`G ^i ½KI)c/ $oVjTMRc|}042ҥCƔM̏P~*ka/8^DkHbL8e i"K\XN\6rco4y@_;oPK!1_a _rels/.relsj0 ѽqCNo^K [ILcX&m߾0XFo;>0xM e`|X}đ I`߽N4aG2$RKIZ)4(M9`ctB{m:f@`3n|O,ܗr޾jxR0T ,0@}WBLǬ5vPK!(R(drs/shapexml.xmlUn1}G, M/n+ZQ@)hKe{C?;1MSx@ x.gfN.6bk|ctGI-Le?]p銔Ѳ[g-} -J ]m\KGX'ԁj0-5Õ^EIܬg5Uɏ8";oIHҭcUl#+VIfi)ل KA-LHrjҟdZ9JiޡQ 5Hi2H8WS5Tlj>7t5CIq<ɛ(#4rtr ,MF g-4ΊEG%wR3>D!b8m A7jj/)bQʽqڗttxC:N8O*9H ).wF0[%djn4@%7MBMZ]aKs-j Jp{VbZT_U Vަ+$W=%jiy9[sVD`k0>iϨxjq)mvg{:Ʈ.+6 E7xQL-|S4nc#iQ_uյMk4RT\\߂C(")a̺kNy8[I 9] HuV< /U Pk3sImRjTp^˸V№QMw5"KQ.dߢ8yOȺ?릺z9 [+k|_@ܑp|@rŲ1#xI]6j\w"{ޞPK!7?drs/downrev.xmlDMK@Eax;;1""Q(.}f^i\r/rَb;kzN4ޑ+1l77k6"CW`H)TRr7E^@.w'-c/uKQE۳U0|ɺq7___PPT9    G. Berry, Collge de France,,     _  @U?Titre 6Ij  F>___PPT9  }!Consquence du codage des entiers"!!    h W?8Espace rserv du contenu 1"t n PK!Zf[Content_Types].xmlMO &2WR=cJ`F0iK`#̼vLw 9uSq:w`G ^i ½KI)c/ $oVjTMRc|}042ҥCƔM̏P~*ka/8^DkHbL8e i"K\XN\6rco4y@_;oPK!1_a _rels/.relsj0 ѽqCNo^K [ILcX&m߾0XFo;>0xM e`|X}đ I`߽N4aG2$RKIZ)4(M9`ctB{m:f@`3n|O,ܗr޾jxR0T ,0@}WBLǬ5vPK!f c%drs/shapexml.xmlWn8w x]ǰ*EۃQqPkMZr,9&}!IP8?Ù|3&on*IRƯ#J:/mJƔXTΤV"[a۳?^[lRt\/Ek] g6s4+c U?QbgJX )a*0|¬ܓ!\+'TCboo6z ig /{:x6m, CdD6(:F^#ǃdf$Nx8LP_2cū,k.aoϡPBx Ɇ%alVMUV2 Jiaz+>`AL~lRM/^%+a6瘮TB>x,UA\Ѻ4 rR0= GY/e|رZ9n# o@mb}OGr;̺vHo2-oc#R{"n:2N`ex%yTM=t|[G =|=0d=(    nX?8Espace rserv de la date 2"~PK!Zf[Content_Types].xmlMO &2WR=cJ`F0iK`#̼vLw 9uSq:w`G ^i ½KI)c/ $oVjTMRc|}042ҥCƔM̏P~*ka/8^DkHbL8e i"K\XN\6rco4y@_;oPK!1_a _rels/.relsj0 ѽqCNo^K [ILcX&m߾0XFo;>0xM e`|X}đ I`߽N4aG2$RKIZ)4(M9`ctB{m:f@`3n|O,ܗr޾jxR0T ,0@}WBLǬ5vPK! Cdrs/shapexml.xmlUn0 ;]ΨS ċL%y>G_l4m\2)|$\\n*Rc{I:/qsάAi)J/?\ԉ]F)_:W'KYk+,:VG*w Jcry=3^waegjkG+)`98\ ANjm7I~Qco :!}HƏl(MacC*tQ0*|x~ڥlS~: ?$r ~o0,^xXw+Y1(F p:!zR*u,j[=_jx&JYjL}G/`v0`^jWnJ9 rL쌲nJdh~]jB3 pӂZԂ@qZcᢵ)^ VhtW 4NتpA[5kP 9Z̄ck ڱ}iq-voFګf͍2kwx>YoH4ꞯ /uTeR89}z=, J2!̚#jy8[I8\@"GϪoᘁLPόEmnr {'ү$ժP+1an[˂>*___PPT9    25/11/2009*          ?TEspace rserv du numro de diapositive 3"PK!Zf[Content_Types].xmlMO &2WR=cJ`F0iK`#̼vLw 9uSq:w`G ^i ½KI)c/ $oVjTMRc|}042ҥCƔM̏P~*ka/8^DkHbL8e i"K\XN\6rco4y@_;oPK!1_a _rels/.relsj0 ѽqCNo^K [ILcX&m߾0XFo;>0xM e`|X}đ I`߽N4aG2$RKIZ)4(M9`ctB{m:f@`3n|O,ܗr޾jxR0T ,0@}WBLǬ5vPK! Eu drs/shapexml.xmlVn8/w x-\[4B"vn0hMIy}Ḗ~XZ֥'t"nۅ~=:- '~DUus@Ƅ]+*}A_7j ]OkB~`L;#6 =, bvtr/F .dz9\IvL vNt8E:hؓx*\0x藵q=Љ[mPK!ݛIdrs/downrev.xmlDQK0Co.mQlHAT_]lnBuݿ7z(DXA(@wN>o@ĄqtL NaXbݑ4±FCJ2vY swb1R˷܂ؿ[M%/PK-!Zf[Content_Types].xmlPK-!1_a /_rels/.relsPK-! Eu *drs/shapexml.xmlPK-!ݛIdrs/downrev.xmlPK PWF>___PPT9    *,     <  xZ?BEspace rserv du pied de page 4"ËPK!Zf[Content_Types].xmlMO &2WR=cJ`F0iK`#̼vLw 9uSq:w`G ^i ½KI)c/ $oVjTMRc|}042ҥCƔM̏P~*ka/8^DkHbL8e i"K\XN\6rco4y@_;oPK!1_a _rels/.relsj0 ѽqCNo^K [ILcX&m߾0XFo;>0xM e`|X}đ I`߽N4aG2$RKIZ)4(M9`ctB{m:f@`3n|O,ܗr޾jxR0T ,0@}WBLǬ5vPK!'drs/shapexml.xmlUn1#niWl( E(jMt׶loHF</g{P {،w̗Wb|kt'ǜI-LU?\r隔Ѳ;O^[ڗ!r4Vv+5tqjdR ԩt<>uj~Wzs%q3w+^pCȷޒ}|V֬Jc>F/,l/3!ək?dJi+$Cjgpx§j6{lXi qIQ2BS) LOϊh `⤘Lp$ZZ;i* g|0Bp\J= oՖ.z_ S[8S(t8.^Nqp?k4A]UqSq\avJ>6uiXGnpƖZ 8n%bp1:IWHbƕ[+lռr*"䭘6q|B6{ 7Mݠ]l~qw/^Gp^2 M%иQEe~uߵfHQqwtu zˤ 0+"Rk:mIl-]$tEg0"בZU{'ߧ㒼Tm$h@$wRIqScy-ZQx:j.Ҹ@B?,-J~dӀ3=@Ƅ X:}@kBRVBa`\H8gx>~ D9~b٘S礮]X.:I>=DoPK!${drs/downrev.xmlDQK0Co.ClHE{]lnBnu>;|F1adIycW߽=* f}}ҕgjpjS/2 B%%w: rwc쥉neQ___PPT9    G. Berry, Collge de France,,     H  @[?Titre 5Ij  F>___PPT9  f Conclusion    f  h\?8Espace rserv du contenu 1"B < PK!Zf[Content_Types].xmlMO &2WR=cJ`F0iK`#̼vLw 9uSq:w`G ^i ½KI)c/ $oVjTMRc|}042ҥCƔM̏P~*ka/8^DkHbL8e i"K\XN\6rco4y@_;oPK!1_a _rels/.relsj0 ѽqCNo^K [ILcX&m߾0XFo;>0xM e`|X}đ I`߽N4aG2$RKIZ)4(M9`ctB{m:f@`3n|O,ܗr޾jxR0T ,0@}WBLǬ5vPK!;LGdrs/shapexml.xmlWn1#!M#"5Yxn}ބ'᳽8P ;7?/V$KalUB;O۔u= (IDBG=/$8LܹrjY>Ou)2m 05+c VrEJ- =D"_ڒqA̗++I+µrBUC[)πՉ^`ʠX󅭕dQ25#n~ z5**hoԶA}6\eV]gEz>%k ^ߗ 8('-uZ+%url]Ո(t56W h~5Ǖӣ"uSb[ԍY_03HN0;K(M.es"<P0y";geB;^ggO2Dq82cV/"M82g= RMKճ%pG l;gmȈnRu6 f8s eõazwVJs 6U!n] Qc3XKx~?g %UX s fMf<Ɇ clU}rx"L}j4Z*= #J6s5UÒPuzd*ȕ0NspMJGTUz)S&> 7V!K"'M*e:XTM=NƓBIW Æ`q6D#򎼫?Q3= N!"ĨS0a bOn tK Iu)$-Pv 5uzJPFK U0c㏵Wh_޿0&n$sPO _E);(~oUK0+MBw6H C{_M\۲ʞ+u9L1/v\SO󜒦(E*8{M(s" .mRh6 ӱҵպz+?E~!9Ċ'( R饐2=eRŽxҒ7ǂ&wg~<Ơ<1i̠KB2ҫ8s چL?#(^I|".ڒ^VVs ߵ䓶g%07f'8]pL5CT7eEvU0NhmZ%Զ8'YBXgqm2ZGo08B\yQ- 4C`R1Vjn1?ǔDbHw%ư=gX|""qw"漻`Kn9 hs@~X9lWuXP$r\(/f]۴S wl<_n7;83)qSTPK!%9drs/downrev.xmlDMo0DV₊R B-\Hq/ElGzb5FtNl Wzm\x> ;Rpn+ۧJ0)bw',&:`py=KC-T)|?uW=NG*5o  \l>&ͭvZ ']`L%PK-!Zf[Content_Types].xmlPK-!1_a /_rels/.relsPK-!;LG*drs/shapexml.xmlPK-!%9/drs/downrev.xmlPK1   En pratique, on utilise des l- calculs typs, auxquels on ajoute les entiers, l arithmtique de base et le point fixe Y / rec (ex. PCF / CAML, voir cours 3). Mais ceci ne supprime pas l indcidabilit ! 0i0-i J]  > ~F  h]?8Espace rserv du contenu 1"ÈPK!Zf[Content_Types].xmlMO &2WR=cJ`F0iK`#̼vLw 9uSq:w`G ^i ½KI)c/ $oVjTMRc|}042ҥCƔM̏P~*ka/8^DkHbL8e i"K\XN\6rco4y@_;oPK!1_a _rels/.relsj0 ѽqCNo^K [ILcX&m߾0XFo;>0xM e`|X}đ I`߽N4aG2$RKIZ)4(M9`ctB{m:f@`3n|O,ܗr޾jxR0T ,0@}WBLǬ5vPK!K'T%drs/shapexml.xmlTn1W;XVt,J{@ 92^/l[K >KoyI@r?3f9ؕlV)}R"YV)q3 )IDJҋwVU)];W(+ ˵)Ѭ+cJӤdcRE57~ǿoYJX.؊qAf@pP5Ѥy ; fol̰;D $W Qa<>rSաǮ dPGLse#sC>NCd8 I5+cW xC)5\YppQ<#Xb5T^3 uf̈IhPD7ޡnRet[H@%3)*딂8a-THi`rd"a= lfl| 1 O EF'kV(y8jQqV|2uO=ָyla l5e}%.xY/SBܾ9>S0$*_OYYH't_3cb QenuJıe,S6Bcߢba7,J U)Mgzч>HS)U~2bJ/Ž0 ܗkUp8Ž(Y uF<8[[+)XK U/eKQȵE/aF. I4=y^nST@4PDGd|(UGfn*11nLnmag'& /)LvajPK!߅drs/downrev.xmlDMK1!ElV"kRG-qLwC7%Jb ̔`Xai (p*@s_j0xM e`|X}đ I`߽N4aG2$RKIZ)4(M9`ctB{m:f@`3n|O,ܗr޾jxR0T ,0@}WBLǬ5vPK!23$drs/shapexml.xmlTN1W?XV4B]DUD9c'$-I U/{|_ǧZ*%Bq]T&?{cJg`R+ӝpc3qrӕf95s RۚygpByAz5=+Y [R9=D!8ø y'ECV^i=[<N4_$ex |Ћ:  d[v]G#Jv9^6[O80RaFq%$X nT$8ʩ 2a&. Xڤ^ysȭeh4aV=kV-&/Ncʘ#˜bFo GN: &o0BWlHX6Svxeɜ_Ljոb=oG4 R- sɆm?;#UŹ(;[g,;Cصes!6x,)BΈS3[1$T$:}?tY'v$(ҠxLm&He\ EX6lfUV"HUNK7Ce*S<*ðmJd-,{ڵ2jOvW W v)\__w |uD0DwI<,9x!͊.}gNPK!Rdrs/downrev.xmlDQK0C^ĥ*.c0n}6wmX$ݿ>;|h[S;i\qq"&t[H"7 ,\I!Ղ!.I+UCw;`1q VγYZ4hPu9|[ {d}x9,Qݸ~hLm7{_^+Awׯ`t1QPnlʖ ?PK-!Zf[Content_Types].xmlPK-!1_a /_rels/.relsPK-!23$*drs/shapexml.xmlPK-!Rdrs/downrev.xmlPK^  Mais ses machines et langages restent thoriques : la machine de Turing se vend mal, et le calcul pur est trop sauvage pour tre pratique0i ~ e???y___PPT10Y+D=' = @B +"% $$@v$(    h?8Espace rserv du contenu 1 [  @D. Harel Computers Ltd : What They Really Can't Do Oxford University Press, 2000. Hartley Rogers Theory of Recursive Functions and Effective Computability MIT Press Henk Barendregt The Lambda-Calculus, its Syntax and Semantics Elsevier Science Ltd. (1987) Jean-Louis Krivine Lambda-calcul, types et modles. Masson (1990) Lambda-Calculus Types and Models http://www.pps.jussieu.fr/~krivine/articles/Lambda.pdf ... et bien d autres belles choses | pO pJ pO p1# :&  *.=.2#8'W  41 $6'   {~  nW?8Espace rserv de la date 2"~PK!Zf[Content_Types].xmlMO &2WR=cJ`F0iK`#̼vLw 9uSq:w`G ^i ½KI)c/ $oVjTMRc|}042ҥCƔM̏P~*ka/8^DkHbL8e i"K\XN\6rco4y@_;oPK!1_a _rels/.relsj0 ѽqCNo^K [ILcX&m߾0XFo;>0xM e`|X}đ I`߽N4aG2$RKIZ)4(M9`ctB{m:f@`3n|O,ܗr޾jxR0T ,0@}WBLǬ5vPK! Cdrs/shapexml.xmlUn0 ;]ΨS ċL%y>G_l4m\2)|$\\n*Rc{I:/qsάAi)J/?\ԉ]F)_:W'KYk+,:VG*w Jcry=3^waegjkG+)`98\ ANjm7I~Qco :!}HƏl(MacC*tQ0*|x~ڥlS~: ?$r ~o0,^xXw+Y1(F p:!zR*u,j[=_jx&JYjL}G/`v0`^jWnJ9 rL쌲nJdh~]jB3 pӂZԂ@qZcᢵ)^ VhtW 4NتpA[5kP 9Z̄ck ڱ}iq-voFګf͍2kwx>YoH4ꞯ /uTeR89}z=, J2!̚#jy8[I8\@"GϪoᘁLPόEmnr {'ү$ժP+1an[˂>*___PPT9    25/11/2009*         !?TEspace rserv du numro de diapositive 3"PK!Zf[Content_Types].xmlMO &2WR=cJ`F0iK`#̼vLw 9uSq:w`G ^i ½KI)c/ $oVjTMRc|}042ҥCƔM̏P~*ka/8^DkHbL8e i"K\XN\6rco4y@_;oPK!1_a _rels/.relsj0 ѽqCNo^K [ILcX&m߾0XFo;>0xM e`|X}đ I`߽N4aG2$RKIZ)4(M9`ctB{m:f@`3n|O,ܗr޾jxR0T ,0@}WBLǬ5vPK! Eu drs/shapexml.xmlVn8/w x-\[4B"vn0hMIy}Ḗ~XZ֥'t"nۅ~=:- '~DUus@Ƅ]+*}A_7j ]OkB~`L;#6 =, bvtr/F .dz9\IvL vNt8E:hؓx*\0x藵q=Љ[mPK!ݛIdrs/downrev.xmlDQK0Co.mQlHAT_]lnBuݿ7z(DXA(@wN>o@ĄqtL NaXbݑ4±FCJ2vY swb1R˷܂ؿ[M%/PK-!Zf[Content_Types].xmlPK-!1_a /_rels/.relsPK-! Eu *drs/shapexml.xmlPK-!ݛIdrs/downrev.xmlPK PWF>___PPT9    *,     <  x#?BEspace rserv du pied de page 4"ËPK!Zf[Content_Types].xmlMO &2WR=cJ`F0iK`#̼vLw 9uSq:w`G ^i ½KI)c/ $oVjTMRc|}042ҥCƔM̏P~*ka/8^DkHbL8e i"K\XN\6rco4y@_;oPK!1_a _rels/.relsj0 ѽqCNo^K [ILcX&m߾0XFo;>0xM e`|X}đ I`߽N4aG2$RKIZ)4(M9`ctB{m:f@`3n|O,ܗr޾jxR0T ,0@}WBLǬ5vPK!'drs/shapexml.xmlUn1#niWl( E(jMt׶loHF</g{P {،w̗Wb|kt'ǜI-LU?\r隔Ѳ;O^[ڗ!r4Vv+5tqjdR ԩt<>uj~Wzs%q3w+^pCȷޒ}|V֬Jc>F/,l/3!ək?dJi+$Cjgpx§j6{lXi qIQ2BS) LOϊh `⤘Lp$ZZ;i* g|0Bp\J= oՖ.z_ S[8S(t8.^Nqp?k4A]UqSq\avJ>6uiXGnpƖZ 8n%bp1:IWHbƕ[+lռr*"䭘6q|B6{ 7Mݠ]l~qw/^Gp^2 M%иQEe~uߵfHQqwtu zˤ 0+"Rk:mIl-]$tEg0"בZU{'ߧ㒼Tm$h@$wRIqScy-ZQx:j.Ҹ@B?,-J~dӀ3=@Ƅ X:}@kBRVBa`\H8gx>~ D9~b٘S礮]X.:I>=DoPK!${drs/downrev.xmlDQK0Co.ClHE{]lnBnu>;|F1adIycW߽=* f}}ҕgjpjS/2 B%%w: rwc쥉neQ___PPT9    G. Berry, Collge de France,,     D  @ $?Titre 5Ij  F>___PPT9  b Rfrences    e???y___PPT10Y+D=' = @B +" yq Y(       0e0e?ZEspace rserv de l'image des diapositives 1        -0e0e?DEspace rserv des commentaires 2 0R  :2___PPT9  R      .?TEspace rserv du numro de diapositive 3_ WF>___PPT9   **C C   I}OPMw 7/$(  $ $  0e0e?ZEspace rserv de l'image des diapositives 1   > $   10e0e?DEspace rserv des commentaires 2 0^  F>___PPT9  La mathmatisation veut dire un formalisme et des thormes Et, comme nous sommes flemmards, le but ultime est de calculer automatiquement sur le calcul, en particulier pour garantir l absence de bugs.     $  J?TEspace rserv du numro de diapositive 3_ WF>___PPT9   **C C   I}OPM    p( (  ( (  0e0e?ZEspace rserv de l'image des diapositives 1     (  @50e0e?DEspace rserv des commentaires 2"ëPK!Zf[Content_Types].xmlMO &2WR=cJ`F0iK`#̼vLw 9uSq:w`G ^i ½KI)c/ $oVjTMRc|}042ҥCƔM̏P~*ka/8^DkHbL8e i"K\XN\6rco4y@_;oPK!1_a _rels/.relsj0 ѽqCNo^K [ILcX&m߾0XFo;>0xM e`|X}đ I`߽N4aG2$RKIZ)4(M9`ctB{m:f@`3n|O,ܗr޾jxR0T ,0@}WBLǬ5vPK!!F_drs/shapexml.xmlXN0w|;A["Rhl*TQFS:vd]>;)4MCZ`EdX'{R0:.gR z㭏9O:#eLR:jJ\ ]R*t%mSI ZnlI[;TV:=yTNSRy|T mXв"K[48HHfokIDŽ)ˠZ;l`k ?10^߳i½^8[ag8d~Y̱ɖ/59C( "~{ř]?vwO7>`cR(^."BFf $/[U=d8 5ްBgȔY8R(?)knI}h!,7D٫2D.IO1ÙPߋ)=DUb(<9p|]ͻbz5HٳEu<].eY<.qquH r/:Ei58Ro^u8kY5]Sԅ6l*m1QDʪaD)G_vLN"uVX+W#% JU:Xq7gTУ$&!Mpq<¯@ t,j1%bѤR[mHz@T{@9Igz:-*ni,..e8-(y6ҦJ`˳,(mҮ۽m+s-l%1:% ,Mru|Rft5q$4B[6c y5?}zXPK!drs/downrev.xmlDN0DHk+qNP 9xud&8q47zh;q!cYrp|[Yc\)v3YcGb#C \Pd1\Oy1EHqHpE-EŞ-U/`^BGJNǧG?. ʿUh 7!WܒiPK-!Zf[Content_Types].xmlPK-!1_a /_rels/.relsPK-!!F_*drs/shapexml.xmlPK-!drs/downrev.xmlPK 0^  F>___PPT9  +U ne convient pas car U boucle si M boucle >, dd&*    (  7?TEspace rserv du numro de diapositive 3_ WF>___PPT9   **C C   I}OPMez %p,(  , ,  0e0e?ZEspace rserv de l'image des diapositives 1   , ,  @80e0e?DEspace rserv des commentaires 2 0^  F>___PPT9  Le cours prsentera la thorie de la causalit (Lvy) et la limitation la squentialit (Berry) puis le modle smantique de Scott    , 9?TEspace rserv du numro de diapositive 3_ WF>___PPT9   **C C   I}OPMy }0e(  0 0  0e0e?ZEspace rserv de l'image des diapositives 1    0   =0e0e?DEspace rserv des commentaires 2 0^  F>___PPT9  Rvariables et fonctions de couleur diffrente, la notation des fonctions n est pas utilisable dans les formules. q pp    0 >?TEspace rserv du numro de diapositive 3_ WF>___PPT9   **C C   I}OPMSt  4(  4 4  0e0e?ZEspace rserv de l'image des diapositives 1    4  0e0e?DEspace rserv des commentaires 2 0^  F>___PPT9  nDfinir ainsi toutes les constructions mathmatiques ! Formaliser vraiment les mathmatiques, Automath -> CoQ o nn    4 ?TEspace rserv du numro de diapositive 3_ WF>___PPT9   **C C   I}OPM/ yq8Y(  8 8  0e0e?ZEspace rserv de l'image des diapositives 1    8  0e0e?DEspace rserv des commentaires 2 0R  :2___PPT9  R    8 `?TEspace rserv du numro de diapositive 3_ WF>___PPT9   **C C   I}OPM5 yq`<Y(  < <  0e0e?ZEspace rserv de l'image des diapositives 1    <  0e0e?DEspace rserv des commentaires 2 0R  :2___PPT9  R    < W?TEspace rserv du numro de diapositive 3_ WF>___PPT9   **C C   I}OPM9 yq@Y(  @ @  0e0e?ZEspace rserv de l'image des diapositives 1    @  M0e0e?DEspace rserv des commentaires 2 0R  :2___PPT9  R    @ ?TEspace rserv du numro de diapositive 3_ WF>___PPT9   **C C   I}OPMw yqDY(  D D  0e0e?ZEspace rserv de l'image des diapositives 1    D  0e0e?DEspace rserv des commentaires 2 0R  :2___PPT9  R    D `?TEspace rserv du numro de diapositive 3_ WF>___PPT9   **C C   I}OPMrP0EX9a&X.l^Tσ]s0B(.W&=\  + _V ~ w cʳ0 |Kt?REVIs%>+dwyQR;w+ Cw-aD1@>L /z ,!" #]$n%&u_&&& &&M&H '''''_$' )'h-'SOh+'0 `h  $Syntaxe, smantique, calculabilitberryberry52Microsoft Office PowerPoint@ @=^@Zhum՜.+,D՜.+,      E Affichage à l'écran (4:3)SEMIRX( C  LArialCalibriSymbol Courier NewLucida CalligraphyArno Pro CaptionBerryColl09-21_BerryColl09-22_BerryColl09-2%Syntaxe, sémantique, calculabilitéAgendaAgendaSyntaxe et sémantiqueDiapositive 5Le diagramme sémantiqueTrois sortes de calcul"Déterminisme / non-déterminismeDeux machines à café / théCausalité des calculsLa compositionnalité&Exemple de non-compositionnalité : CAgenda%Comment définir la calculabilité ?La machine de TuringLa machine de Turing!La machine de Turing est robuste?Automates cellulaires : le jeu de la vie (J. H. Conway, 1970) )Automates cellulaires : le jeu de la vie)Automates cellulaires : le jeu de la vie)Automates cellulaires : le jeu de la vie)Automates cellulaires : le jeu de la vie&Un langage : la récursion généraleFonction récursives5Ensembles récursifs et récursivement énumérablesAgendaMachine universelleFonction universelleIndécidabilité de l’arrêtDiapositive 30Diapositive 31Version fonctions récursivesDiapositive 33Récursion primitive$La hiérarchie primitive récursiveDiapositive 36Agenda Appel par nom, appel par valeur,Appel par valeur : l’intérieur d’abord)Appel par nom : l’extérieur d’abordDiapositive 41Quel appel est le meilleur ?AgendaLa carte du -calcul 4Le -calcul, joyau des modèles (A. Church, 1936)Idée de baseDiapositive 47Le -calcul pur$Rendre précises des notions flouesLa -conversion-conversion$Curryfication des fonctions n-airesDiapositive 53Premiers exemplesLe codage des entiersDiapositive 56 Les fonctions entières de baseLa fonction successeurDiapositive 59Diapositive 60Le test à zéroDiapositive 62Récursion et point fixe-calcul vs. CAML#Conséquence du codage des entiers Conclusion Références Polices utiliséesThèmeTitres des diapositivesC 8@ _PID_HLINKSAL 7http://www.pps.jussieu.fr/~krivine/articles/Lambda.pdf7http://www.pps.jussieu.fr/~krivine/articles/Lambda.pdf_9/'berryberry  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~                           ! 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