Vérification de l'équivalence du $\pi$-calcul dans HOL
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Ve´rification de l’e´quivalence du -calcul dans HOL Otmane AIT-MOHAMED. N˚ 2412 Novembre 1994. PROGRAMME 2. ISSN 0249-6399. apport de recherche.
(3)
(4)
(5)
(6) !" $# % &" ' (*),+. /1032547698:;<=?>@/ A:>CBD5E F9GIHKJLG?MONPN1Q%R&SUTVMOWYX[Z7W]\_^`NabHKWdcYeKZfQKgOh7GIHKJKG[MONPN MOiIcdHOj$Qi
(7) JlkQ jfcmQWdHKJLcYX[cdQW F9GIHn[Qio9Z7GIQXM p%Mqh7hbHKG_i%rsQtGIQXIu7QG[X_ufQvjw1Rqxzy3RSU{|HO}KQNa7GIQ$y3~K~OxSUKRhzMqJKQ\. 5s 9 5 MOj7\$XQ1G?Mqh7hbHKG_i3g9HKjr3kQ X[G_cdiZ7j7QPG_QhfG7kQ \IQj`i?MOiIcdHKjh7Z7GIQN1Qj`i Y 7dO7bYd r`Zf XMqWYX[Z7Wr7Mqj7\WdQ$h7GIHKZ7}LQZ7G$rsQ$iIukQ HKGQ N1Q \&V ]¡£¢¤Q\WdHKcd\MOWdJlkQ afG_cYeLZ7Q\r`Z¥f¦XMqWYX[Z7Wl\IHKj`iN1HKj`iIG7kQ Q\ X[HLN1NPQkQ i[MOj`i1r`Q\i_uVkQ HKGQ N1Q\1rfMOj7\WYMWdHseLcYeLZ7Q r¨§ HLG?r`GIQ1\IZ7hVkQ GIcmQ Z7G¡©%cdj7\_cg]HKjªHKa7iIcmQ jiZ7jªHKZ7iIcmW X[HLG_GIQi_Qr7MOjf\%WdQeLZ7QW]HKjhzQ Z7iG?MOcd\IHKj7j7Q GV\_Z7Gr`Q\MOh7hfWmcYXMqi_cdHKjf\Z7iIcdWmcd\[MOj`iWdQ$f_XMqW«XZ7W¬X[HLN1NPQVHKZ7iIcmW r`Q\_hVkQ X[c®¯XMqi_cdHKj£¡OTHLN1N1Q£Mqh7h7WdcYXMOiIcdHKj£g[HLjN1HLjiIG_Q]hzMOG]cmjbr`ZzX[iIcmHLjWYMVX[HKGIG_QXi_cdHKjr`QlWYM\_hVkQ X[c®¯XMqi_cdHKj r`QW°§±MLr7r`cdi_cdHKjjbMOi_ZfG_QWdWdQQjf¦XMqWYX[Z7W¡ ²´³bµ ¶?·q¸ ¹ f_XMqW«XZ7Wg7V . ºY»9¼¦½¾m¿ÁÀ¾dÃ7Ä3¾ÅÁÆ ELÇ[È[É%Ê[ËKÈÉ%Ì_ÍOΤÏÐÊÑÒÐÈ3Ó ÔÐÑ. Unite´ de recherche INRIA Lorraine Technoˆpole de Nancy-Brabois, Campus scientifique, 615 rue de Jardin Botanique, BP 101, 54600 VILLERS LE` S NANCY (France) Te´le´phone : (33) 83 59 30 30 – Te´le´copie : (33) 83 27 83 19 Antenne de Metz, technopoˆle de Metz 2000, 4 rue Marconi, 55070 METZ Te´le´phone : (33) 87 20 35 00 – Te´le´copie : (33) 87 76 39 77.
(8)
(9) $#
(10) O(
(11) O ) +. µ · µ u7cd\hzMqhzQGr`Q\?XG_cdazQ \'M¥ l7«°q7z Ym hfG_Q\IQj`i?MOiIcdHKj¥cdj ufcmJLu7QGHKG[r`QGWdHLJKcYXH i_u7Q iIu7QHKGI^
(12) HLG cdWdj7QG3§ \f¦XMqWYX[Z7WdZ7\¡ ufQtMOWdJLQa7G?MqcYXW«MV\ HKGliIu7Qf¦X MOWYX[Z7WdZ7\MqG_Q
(13) h7G_HO}LQr1Mq\iIu7QHKGIQN1\ cdjiIu7Q V WdHKJLcYXMOjzrªM\_QiH %h7G_H`H %i_H`HKWd\cm\h7G_HO}`cYr`Qr¤ ¡ `H HKZ7G\_^`\_iIQN cm\cm j °MKXi$M\IQX[Z7GIQ Qj`}`cdG_HLj7N1Qj`i HLG%G_Q3MO\_HLj7j7cdj7J MqazHLZ7iQeLZ7cd}KMOWdQjzXQ$cdj¹i_u7Q1f_XMOWdZ7WdZ7\3¡©
(14) \$MXMO\IQ\_i_Zbr`^g Q\Iu7H a`^1cdjzrsZzX[i_cdHLj iIu7QX[HKGIG_QXi_cdHKjH ¬iIu7Q\_hbQX[c®¯X MOi_cdHLj H li_u7QMKrfr`cdi_cdHKjPcmjf¦X MOWYX[Z7WdZ7\3¡ ¤¶ ³ O f¦XMqWYX[Z7WdZ7\g7V .
(15) $ llP¹ V .
(16) !#"%$&"'(")$ *(,+ !-
(17) $ )"
(18) .!/ 0!.!$ 12 (""%$3546 7
(19) 89("-:!"$
(20) ;-
(21) <=!-
(22) $!-
(23) (">?@"A1=B 12=!.$C 12DE "-
(24) F()G ?H)!$<($-0#"'#-JIK+ "%$L6$ 2$M"-:N#2O12$$<)"%$212("$P
(25) <E+ N#-
(26) FQ
(27) "(3SR*" # T 12$U.-:N($/1V("%$K W?!+ N(-
(28) FQQ 0"X"%$2 :YZ+ -7[\]$!-
(29) ("'?^"E!.!$ 122$2!(" -
(30) 12 :]"$<]$!-
(31) ("_3 `a 0U-0&"%F#-
(32) (""12"$<&F(P("$Y+ $2 + ,+ F(
(33) (b+ c&"-W c]""b+ 3=d,P($!-7 : O12$$"$eKF,+ !-7[*;-aG!*("%$+ N(-
(34) FQQ 0"$f( "#"_3,_&F,+ !-7[\]$-0#"!$*((12g 7-
(35) 2!]-
(36) $ch(ij9k(l&h(j9monipl&pqOj9L\!)-0$Pm:qOj9pr!h(sj9motp l&pqj93 u($!-7 :vh(i%j9k#lh#j9m:n i%pCwxL]F()-0u]G12
(37) (LOy
(38) z]L{L|]}%!#"%$(+ !~6
(39) ((!-
(40) $M12< -:!(""]
(41) g 12"$epT's<h#s<pCw~$1 ]"-
(42)
(43) "$e,!b+ -7[\]$!-
(44) ("v+ !"%$+ u]Zv]$(1 )$3dv"]"$L $$]Mc+ !"%$cN( :N#f( T 12 :]$!-78W T?p Jk)wxmok(qYsk(l2moqh(j9k#m:r!p&(pwp j9h(jow*$ " J-
(45) 1&-
(46) $<)$!-
(47) ("ef
(48) <M]1V*?H] 7-:]$!-
(49) ("f]G>!
(50) e!b+ -7[\]$!-
(51) ("b"(")<]1E+ $!-:N( $e#"%$b W?^"1
(52) K+ $<]$<!$b["-:3 ($!-7 :2moqj9p rUh#sj9m <w&y^L_L_]},!("$=+ $#-x+ *O(12("$cK#-7I+ "$<f( W 12f"D! (]"%$2!P :=+ !"$<]$!-
(53) ("]!$<Q-0$&&$&$!-7 J-:!"$ 0-
(54) "12"$ :="]$
(55) g + !-:N(c89(1 7-:!12!(6("$<3T f!K("%$eb W?H]M&K \r!p i%t p#pjoKp< k(rup l&pCw ](%U-0$-0#"]Yl&k#p_sC%p<sCQmoq%Vy7}W3 &$F] -7 N#&"(Kv+ -0F#("K]"f]($L\C? -
(56) "!-
(57) $]"f$$2"-W 2]M2("g ")"%$P :XF,+ !-7[\]$!-
(58) ("D!.!$ 1Vc(""%$<C3>V8(1 7-:!12!b+ -7[\]$!-
(59) ("EN("( F(("bM]-:;-!$b
(60) gWQ byH }W3 gW : Z!$K"VG$"U-0#" d*d*¡yH¢ }WL_]"f :£12!&_=
(61) !&¤9
(62) $12K gWQ 9¥2OF("%$¦+ M]" (2"(1 =]"]G_3§d,$$O%;-
(63) -7 7-0$D + ] #12"%$ 0=O(F(]-
(64) G;-782 :]" %) ((L_$P12$& v+ -02
(65) c.!$ 12K("$K :£$() 0# ]-
(66) D+ !]Y (1V1"-:]$-0#"eM]" (2(¨]qOh(l&m:n i%p lp qj93,K!-7G c .((eK -
(67) ">?^G;-
(68) F(-
(69) $K + !$b : (1V 0G-
(70) $& + f :2F,+ !-7[\]$-0#"$eK W?H]"Q 0.!c&e!.!$ 123 `a 0$#(B $N#2("$-
(71) &"=($!-7 &F#!b+ -Q aO(*
(72) 2gW : WL_#",+ -:,& + ?^$!-7 7- "Y#$!-7 ZF( v!+ V G%-:!$<)"%$3&? -:v+ $c?^"!-:M-
(73) P
(74) 2(F#c$MZ+ ( 12cM]-:;-Z] :!."%$ G&*#U$eYgW : WL_$K?^$!-7 7-:!c$(b
(75) f($-J :Kv+ F(
(76) (Z+ (c2!.!$ 12 M(B $c ["?H#(12 7-
(77) e"%F(*?!+ N(-
(78) F]
(79) "(3 \r!k(itp i%rf(pKjoKp k(r_p l&pZN#*"(v F(("M]-:;-\!$
(80) e!.!$ 1V©vª ¢ y
(81) z «};3ae) (eN#*"( + !"$("b!$f( + !K
(82) -*¬®a¯pCwxm6yH]}6$±°a6¬=p²%h(l³y
(83) z(z}W3e4"=I$ L"(K F(("*-0F#" )M&12"$v+ ["-0$-0#"" J
(84) >]"f"#$P8#1 7-:]$!-
(85) ("Y& :$Mb+ (!-
(86) 2YgW : W3 V#-JIK+ "%$c"#$<]$!-
(87) ("&("")"%$&
(88) =gW : e!("$/)U#$+ :X
(89) ( )-N#>©vª ¢ "
(90) v+ ["-]"$,]b,"$!-
(91) $+ ,!+ f G%-:!$<)"%$$Z("$ :&+ 1 ]"$!-:N(b!$b(""%(L
(92) $((B $bN(K?^" O%!$
(93)
(94) <v#!-x+ $+ _],v G-0#123vd,$$v8W´ ("2?!+ $"v :K$Mb+ (!-
(95) *e©,ª ¢ + !F# V(MZ+ "(3 _["Q J-
(96) $*+ Z"#$,$< FQ -7 !$6
(97) v+ F(
(98) (1V"%$,?^"&($-J (µ*pCQm97p_$*sk(rrUpsj9p LQ)"u 0N# (" O$e<Q-(""*
(99) ;-
(100) <f"($!-
(101) ("*?!+ N#-0F]
(102) "2gW : , F( :&%;-
(103) -J 7-
(104) $/ + &,+ ["-
(105) K!$<]$+ ]-
(106) *cF#2 #-7I+ "$K (+ ? -
(107) "%$($!-
(108) ("f#K :(f]$!-: 7-T K !C3 &<)($f!$K( %]"-:c + #12122!-
(109) $¶K·*"Y(1V12"&]e"VC F(c!-
(110) $!-
(111) (" Y!.!$ 12 ©vª ¢ $/>
(112) ( )-N#$&
(113) 2#-7I+ "$<12].("&>!("G$"U-0#"_3E·*"E+ !"%$2"'!$!-
(114) (" |£
(115) >gW : W¶>=!."%$ G(L=+ 1 ]"$!-:N($P :Y,+ ["-
(116) $!-
(117) ("' W?!+ % 7-
(118) $2 + "$!3_ !$-0#"/v+ !-
(119) $v 0c] (c>gW : u)"*©,ª ¢ 3¸K)" :&!$!-
(120) (">P("+ !"$*"G12
(121) (1V 0$K("")"%$b :VF(&K :2!b+ -J[\)$!-
(122) (" T?²(#-
(123) $!-
(124) ("="gW : W3f·*">$1&-
(125) "c] "&(12]<Q-("> F(Kb$< F]]G£)"%$+ !-
(126) <v$*]e!$!-
(127) F(fc"#$K$< F] -7 T3.
(128) . ©,ª ¢.
(129) .
(130)
(131)
(132) . . (. )*#+%. . . " $#&%. '. ! . ,./1- 0 24365 =>4?@A365&B1243;5. 78. 9:. 5+3;5<:. 8DC EGF. :IHKJ. :L3;#MJ. N>365@A3;5+B1243;5. 8DE COF. :IPKJ. RSOT UV4B24365 ` - 0 UV42&/ de#f$5 2VgfB$243;5ih j. 8XW W YZF. :\[]J. 8XWZF. :ba\J. klemn8. jporqV:. T 3;#+s2A36#&?tovuV:. de#f$5 2VgfB$243;5ihnw. x lemn8. w&orqV:. 2 / AS / hny N>365&{ 424365&5 / 4U U /. z+lemn8. yovqV:. VU / %64?A2 / oru : #&5<o.2 / U_ # / : ?:ZU436A?JD?45+3;5. 8|WfY}FQ~i. *:baJQ . : / 2QJ :L4SOT^UV4_ # / :c/1- 0 1U / J J. 6]
(133) z2¶ 6f vrf6M &$*I <&r+ &< . .&r+ &.1rfv A . -¥¢¡<£ (] O¦¤ ¥U ) +. . ·*" ¦ M]-:;-#1212Y#F(>Y$Mb+ ( 1V 0E!.!$ 12©vª ¢ EdZ]1&!-: (,+ F(
(134) (b+ ]¨§e(<#"Ay
(135) z {};3 >!.$C 12©,ª ¢ $2( + !V" 0# ]-:N(XG;-
(136) F(>$2 + "b+
(137) 2"( O12$$<)"%$K?H F(]-
(138) f"c89(1& :]$!-
(139) ("=($c$K<]$-N#(3K4"XI$ L"(K F(#"*(($c + " ]Me12"%$b,+ ["-
(140) $!-
(141) ("" 7
(142) (L(v %]<)"%$!-
(143) P(Mb+ "*"#$*G$";-
(144) ("$b(! :($!-
(145) (">F(?U+ N#-
(146) FQ
(147) "2cg9$1V3 !.$C 12&©,ª ¢ $K(& + !K
(148) 2(F(c&$Mb+ #C 12 ¢£Tt© y
(149) z| }$KMZ+ !-
(150) $22
(151) ;-
(152) <& !v("$<3vb!$!-
(153) (",N#--0F#"%$*v+ -0F#"%$v!-T F(12"$6 : 0# ]-:N(K©vª ¢ $
(154) !.!$ 12 ©vª ¢ 3%`6# 0e,+ $<Q-J WL("!
(155) $fy
(156) z« }We 3 ª,!(-J G%-:!$G F#<;-
(157) (",!.!$ 12*©,ª ¢ 3 _f1&-T bF(<U-0#" ¤!©,ª ¢ (¥\,+ F(
(158) (b*+ !(e «=yz]}WL]$~"F(<;-
(159) ("¤U©vª ¢ ¢(«¥\v+ F(
(160) (bb+ ] ¬ck(qOr!h(b JmoqP!(P¡ «=y
(161) zLz }W< 3 ®(f$!-7 7-:!("&]"f2$< FQQ-J 6 :F(<;-
(162) ("Y{3²«({2D!.!$ 12 ©vª ¢ (3 ¯Q°±. ².³|².´sµs¶·t¸¹»º½¼\². V
(163) ( ]-:N#2©,ª ¢ !$f"&FQ]-x+ $c _ + :V 0# ]-:N(2?^(c!b+ -0K#%+ c!f"P8#1&g :]$!-
(164) (">f :&$MZ+ (!-
(165) K;-
(166) 12
(167) b$!.*&dvM%<M=y
(168) z]}W3,4a J
(169) c!K+ !"$K(1212f"cG$";-
(170) (" 0# ]-:N(2b+ #-:]$<b]cN((¶ fFQ)!-:]
(171) KF#"%$B $-
(172) "!$<]"-+ f]c8#"$!-
(173) ("L$f
(174) c] (12"$<e89("g $!-
(175) ("bOF("%$VB $bv8#"$!-
(176) ("3 ¾. ¾. v89("$!-
(177) ("F("$2B $v+ !"$+ ]eÀ¿gW]!$<#$!-
(178) ("3 ¾. d,M(N#K$12KO% K"$!.%OcN(-~O$2B $f]
(179) .12(MV¤U]>!" )" %] (. ¢. ¥<3. "($<]$-0#"b$!-7 7-+ f]"v :&
(180) ( )-N#&©,ª ¢ !("$Z+ !"$+ b]"Z V$<]
(181) 2z(3. ¯Q°Á¯. ².¹ÃÂÅÄv´s¸ÆQ¹¸Ä\º½¼\². &!.$C 12f©,ª ¢ $,
(182) P+ !
(183) $<)$Z>] (cf :P
(184) ( ]-:N#v+ -0$c-0gW!e)"v
(185) f )" %] ( 89("$!-
(186) ("" ¢ 3(6$1V~!#"%$6+ !"%$+ _(1V12*6(!$< ¢ Z$!.Kj9prl&3v )" %] ( ¢ 1V$c1]"-
(187) 02f$12*$c2("$()B 0f
(188) P(""&89(1]$!-
(189) (")1VQ.#"?^"
(190) (#!-
(191) $M12c? -
(192) "8Q+ "cP$U.(3R">$12f :P
(193) ( )-N#©vª ¢ ]-
(194) $&B $f+ "%$e + ]>!.!$ 12.
(195) ©vª ¢ "%$& (-7 J
(196) 12$3¡]- ¢
(197) -Z]$$!-
(198) &
(199) 2$!.j9prl&L~
(200) (K £F($c#-
(201) N#_? -7 ,!$K-
(202) " 89(1E(+ 32K$!.P2 :
(203) ( )-N#©,ª ¢ !("$cv+ c(121V K( U$< ¢ V$U.Xj9¨ p3 ¢ 8W -
(204) $* :#-7I+ "c"$P">( U$eP$!.%O j9prl5$f">( U$eP$!.%O j9¨ p L"£8T -:)"%$*+ O+ &G>]-
(205) "$<bF($-Q 0$($,#U$fK$U.j9¨ p3 _/8#"$!-
(206) (">!-
(207) "-
(208)
(209) !.!$ 12c©,ª ¢ !$P12("$eN#$< -
(210) ">$12e :&
(211) ( ]-:N# ©vª ¢ ("%$2$Mb+ ( 123'V$Mb+ ( 1Vc(F,+ 2]"/
(212) !.!$ 12>!("$ V(!$<2?^" ]$2$!.%O± :]" %] # ¢ ]O x= + jo%l&3Yd,N(-*12$#-:!$!-
(213) " ( &G']$+ #(!-
(214) 2$12K ©vª ¢ 3_R"$MZ+ ( 12c$K+ "%$c + ]K"±"!1& 02$12KN#_?^("Y]O 7 0 %¨ k(jo*p wpwf$c"Y$122N(_?@("D]O J
(215) Ysk(qs 7i(wm:k#q3 4+ $<]"$c(""Z& + "Y"!1&
(216) ?^M%.#$M ! $&"("
(217) ;-
(218) (" <Lv("E"($ 0X$Mb+ #C 12(!O("]"$2] 3S¡]!$&F(-:(Lb(" "($<c;-
(219) 12
(220) 12"$ 3,v$Mb+ #C 12("%$6-
(221) "$-
(222) $<*]"
(223) .!$ 12(L(!)-0$b"V
(224) ,O%!$ :]"$ (1V12*bh]Qmok(l&pwL%!)-0$"P
(225) ,v+ -:]"$ajop< k#r_ p lpCw~G-:!$<]"$<u],br_!p (7pCwZ m:qC,p r!pqspw v+ !-
(226) $]" 012$< :]" %) ¢ $,N#_?^("&] 7
(227) j9h#sj9monipw3aufF(*?^"&$Mb+ #C 126!$" !;-
(228) ("' ]
(229) c? -0"8]+ ") J-:N#Z+ &]GD G-
(230) (12P(D]G$MZ+ ( 12f,!+ #F,+ 3 P ]
(231) K? -
(232) "8Q+ "KFv+ -J["$N#& :>v+ $!-
(233) ("E& :>("
(234) ;-
(235) ("'?^"±$MZ+ ( 12 ]$!-
(236) c!M%.($M !v!$*("89(12c)G ) 0
(237) ( ]-:N#ec©vª ¢ 3K"].%].!$ 12e©vª ¢ !$ ("$!-
(238) $Ze + K-
(239) "N2 G-
(240) (12$**M-
(241) $bC ]
(242) v? -
(243) "8Q+ "v!-
(244) 1&-
(245) $!-
(246) F(KK ]$-0bN# J
(247) $($
(248) f]$b ]
(249) bK :/ 0# ]-:N(f!("$*,+ !-
(250) F,+ 3 + !
(251) $<]$&?^";-
(252) ("' F(P
(253) >!.!$ 12 ©,ª ¢ $"(!$) xY + joKp k(rm:p 3Ydv$#U$ ("$!-
(254) $b""1
(255) *b$!.%OL(Z("$<]"$L]?H G-0#12L(*,+ ["-
(256) $!-
(257) ("6$,$Mb+ ( 123_ !.!$ 12689("-
(258) $,6%;-
(259) -J 7-
(260) $+ ,?!+ $"Z6$MZ+ (!-
(261) uG%-:!$]"%$6$av89(126M-x+ <]M-
(262) b$Mb+ (!-
(263) 3¡]-\6+ !
(264) $<]$~?H)$u$MZ+ (-06]-
(265) F("$eB $$!-7 J-:e + ]"u :f$Mb+ (!-
(266) ,"2N#!$!-
(267) ("_L ("2]-
(268) $
(269) (<v+ )a6$MZ+ (!-
(270) 6(1212v h(r!pqjow_v :f$MZ+ (-0bN(_?@("2,+ F(
(271) (O(3a6$MZ+ (-0 O12$$"$*"&!$$]$!-
(272) (">v8W -
(273) $<3 R"A]$("$$ c$-J
(274) (L!$
(275) -cD7m9r!h(mor<mop3SR*"7mCrUh#m:rm:p!$V"] 7
(276) $!-
(277) (" $Mb+ (!-
(278) LfY$Mb+ #C 12CLZY$($!-:N($>®8("$-0#" ¢ 3*4a 7 0"_?^!$(£"Z+ Q-012"%$ M] + f
(279) (<*X :]"12"$=!.!$ 1Vc©,ª ¢ L "Z+ ]"12)-0" J
(280) 2O$2B $cM] + ."]1&-:N#g 12"$b
(281) (<?^"!;-
(282) (" F(f©,ª ¢ 3¸K]"b"($c(L("=c$-J 7-:c +
(283) v 7-
(284) < -
(285) !-
(286) P!-
(287) FQ]"$¶. . .
(288) ¶6 :&$Mb+ #!-
(289) cb"!1&
(290) ["-$b-
(291) "["-:&y
(292) z }W3
(293) ¶ v.%OK
(294) ( ]-:N#f c¡d,!e]<($ v$e$!-
(295) " %yz¢ }W3
(296) ! "# ¶·*$!-7 aO(e("!$-
(297) *v+ ["-
(298) $!-
(299) ("b-
(300) "$!-
(301) F(&y²{(« }W3 $%& ¶b·*$!-7 acF(c$ -
(302) "*$<)$]
(303) ( ]-
(304) KyH{ z<};3 (' *),+/- .10 32 04),+ 506) R"v+ ["-
(305) $!-
(306) ("¦!$&"A G-
(307) (12> :®8(12798;:<& = V8 !$2"#"!$<]"$"(F( 7
(308) $ "$1V®
(309) %C3 d,$$X89(12=]$- 7-W = W?HQG%-
(310) (12±+ "%$£ :'!b+ -J[\)$!-
(311) (" = : ("$<]"$b 8 ]"6 :P$Mb+ (!-
(312) b"N#!$!-
(313) ("_3vd,*1VK? -
(314) "%$$-0#"?^"V"(F(]&8W -
(315) $,+ !F# :K(Mb+ "*, :f$Mb+ (!-
(316) ,$&+ F(-
(317) $ W? -
(318) "%$$!-
(319) ("#"%$(#-:$!-
(320) ("369 !$O%;-
(321)
(322) e?H F()-0 G-
(323) (12b!(a :K89(1V(¶?>A@*BDC!CECF@HG:=< L#2 W?^"1
(324) cvFQ)!-:]
(325) v 7-0* $-
(326) "
(327) *]" W?^"!1&
(328) ;I@JBKECEC!CLKM@/GH%N L6-N(>$$&8#122!$+ N(-
(329) FQQ 0"$Y; >O: *@*BPCEC!CQ@HG5RS 3=·*"$ ¾. t. ¾. ª. ¾ ¾. ¯Q°. ².¹. ¹. Ŷ v¶´. ³. \º½¼\². ¿. ] ;--
(330) "%$-
(331) &,+ ["-
(332) $!-
(333) ("K-01/-0$-0F#&+ ;-
(334) F(L-:N#_?^ 7 0=(12$$"%$K",+ ["-
(335) $!-
(336) (" "("+ <;-
(337) F(=+ N(-
(338) F]
(339) "%$y
(340) z{ }W3,R"K$Mb+ (!-
(341) c("$Z$($v
(342) f("!$<]"$b!("$*,+ ["-
(343) ]e G-
(344) (12vN(-\!#"%$,v,+ ["-
(345) $!-
(346) ("v!$,#-
(347) $"&joKp k(rm:pKfp ZqOm:j9mok(qqOpo7p>3 ªfG/.#G/6
(348) ( )--
(349) " $$K$MZ+ (-0K$*" pCQj9pq wxmok(qXs<k(q wxp r<t h(j9motp3 `-:N#V 0V12? -
(350) "%$$!-
(351) ("2"(F( 7
(352) &,+ ["-
(353) $!-
(354) ("K$K$ !$!-:$!-78TL-7 ZG-$ ($-J :*)$(1 ]$-N#68W(-7 7-
(355) $<]"$b W? -
(356) "%$$!-
(357) (">?@">$< -
(358) "$U.KK,+ ["-
(359) $!-
(360) ("b+ <;-
(361) F(L]. UT.
(362) fF#f89(12 7
(363) 3®*($]1212"$LfO+ f#c,+ ["-
(364) c2"(F()G$!.%Of+ g ;-
(365) F(CLZ8("$-0#",-01/-0$-0F#b+ ;-
(366) F(b!*,$!.v$*$< -
(367) "$!.%OZcv+ ["-
(368) $!-
(369) ("v-
(370) "g $!-
(371) F(&y²{({L\{(«)}W3Kd,& ("/?@($!-7 :K](X8W(-7 7-0$& + "($&1E+ ]"-:]$!-
(372) ("_3P·*"=F#-
(373) "<! M("&b+ PP W?^#;-
(374) (" 0f$!-7 7-:]$!-
(375) ("_3 ¯Q°. D¸. 2 *) D+ *)+ pÄr¹ . ´. ¹. F) 040. ŹÃÄv³>¶ ´. ¹. J0 2. 2. b´K¹ Ä \Âų>ÄDº½¼¨². ¹. .!$ 12&©,ª ¢ ]I_P"Y]$&12].("X(&("!$-
(376) 2fF#3cT Z?H] )-0$K& :("g ! $$!-
(377) ("KF(v"$!-7 7-]"%$"]Mc#-
(378) !-
(379) a+ v]v
(380) K$3? -:v+ K$Zcv+ F# 0# :VF(&"(1V12"~´ ]"$*] 0&+ !
(381) $<]$*v+ U-0& + ¤W$¥b$eP
(382) c+ -
(383) V "$ -
(384) ""#1 e($<6
(385) b;-
(386) 12
(387) KK + !(*]&12].("2*( (<]1V12t «=>N#_?^("2] 7
(388) c(121&"b+ g 12"$,6$<($-N#6$("%$6
(389) *("$v!$a= ¦¬moJqOpryH{#|};3a.!$ 12 Z$$*;-
(390) $]$!-
(391) (" B ]X12].(">?^"P-J
(392) ¤!! (% _( Q) (]¥N#-~O$ B $f1 ]"-
(393)
(394) K-
(395) "$<($-0F#12"%$ 3*d,P (" ?^#$!-7 $D
(396) Zh(i²wxk#q yH{#|};3 4+ $<)"%$b(""Zf B + " $ v ®!$b"f J-:!$c?^M%.#$M !f$ "X$12 P (F#3b·*"#1212"K]b-
(397) "-
(398) $!-: 7-:!K :&-7
(399) >2 K$K]12].("?^"K89("$!-
(400) (" !b+ -7[\N(-:P("E] 7-N#>P$<($!-:N#&(,+ N#]$fO(2!2<]1V"££ + ( &!( $<b("$ :PF(f!$b!]-
(401) $ + F#-"$e]-
(402) $Z
(403) b;-
(404) 12
(405) P $(F#3~K!.!$ 12b12$*f"( 89("-
(406) K :£F(,+ ;-
(407) + "]F( %)<]"$/X M(N#E+ $<]P :&!!$!-7[\]$-0#"D] :(N( 7
(408) ("D (#12 7-0$ :&$<)";8#1 ]$!-
(409) ("?^"$*"">"1
(410) &c!(v$<3bdv$$8T´ #">K$(F( :VF(K+ -0")"f
(411) cF#-0GY("$¶ C#-0F#-:!f(f+ #" 3 !.!$ 1V©,ª ¢ 89("-
(412) $c"D)$&$!.%O &89("$!-
(413) ("D]O x= + s<k(qOtp rwm:k#qy²{]]}W3d,2$!. 89("$!-
(414) ("=12$*"Y(!#"]"&"$12 e F("]$c$1V =]>1VQ.#">$MZ+ ( 12 _3±d,$&($!-7 e?H F\ &$ f$!-7
(415) ]" :=,+ ["-
(416) $!-
(417) ("'>!$<]$+ ]-
(418) K>;-
(419) 12 7-J[\)$!-
(420) ("A $12&(12 7-:N(b+ 3Y¡(#F("%$ L_ :=v+ ["-
(421) $!-
(422) ("E>&!$<)$+ ]-
(423) f!$P(+ !2&("%F#<;-
(424) ("
(425) f;-
(426) 12
(427) /N#_?^(">#1-
(428) "P]eb(b+ <]$Zv+ ["-:e]"Z 0&!.!$ 1V©vª ¢ 3. M 7. . M. . O : . 1. # % ' . ¸ ]"K$$!$!-
(429) ("_L#"®#"""& F(!-
(430) $!-
(431) ("DP :!.%"$< G(L + 1 ]"$!-:N#c(b+ <]g K $!-
(432) ("" 7
(433) $*
(434) K#-7I+ "$+ N#-0F]
(435) "c=gW : W3c`6(f 0K2v+ $< -7 WLF()-0&yH]};3e_!
(436) #-7I+ "N(-bG%-:!$V"%$& :>!."%$ Gcg9$12KN("(+ !"$("$ 7
(437) + !"%$+ ]"yH]}!$ :K1 ]"-W e F( :(N( 7
(438) K!$bv*+ " (12O($1V"%$v+ <U-J83~¸K)""($*+ "g $<)$!-
(439) ("2("K$!-7 7-:+ W?^(b+ <]$ L)"*y
(440) z(z}WL) W?H]$b$!-7 7-:!f W?^(b+ ]$ k $Z]"fyH }WL :V+ <U-0#"!$e,f + ]e-"$!-7[\]$eP!Å 3 u($*"($<)$!-
(441) ("*!("$ + N#-
(442) F%g
(443) "$L1 -:v : #-
(444) $ + >] (KFQ)!-
(445) ?^"P+ "%$<)$!-
(446) ("®/ "]$(3au2!."%$<QGc gWQ !$ev+ ["-_]b :2 #<]121 Q-0!-
(447) F]]"%$¶. . ¶¶. :. "!#. 8 ¤Q@¥MR 8 *R R y @,: (} 8R $. %. &. %. (' ) %. * ) %. ,+ -. %. . %. ). ,/0. 8. % %. 1 2 3$4. % . % . ¤-
(448) "($-J8*¥ ¤,F]]!-:]
(449) 2¥ ¤,+ $!-
(450) (">?^">)" ,¥ ¤,"F(]-~?^"=]" ¥ ¤Z#$!-
(451) ("-
(452) "(!F]]
(453) ¥ ¤Z#"#-0$-0#"" J
(454) 2O%;-
(455) $!-
(456) F(V¥ ¤,!$!-:$!-
(457) ("±¥ ¤Z(1212K"(">v+ $1&-
(458) "-:!$]¥ ¤Z#12%U-0$-0#">]<Q J W 0V¥ ¤,+ <;-
(459) ("=¥. *8 Q@ R. · " / 5!#_!$ 0P!-0"#$!-78ZN(-~"f8W -
(460) $f!-
(461) "_3 ¤ ¥ )§!$b
(462) c*N(-6$fF(]-
(463) "_? -
(464) 12O($N( Z]"Q TL_]-
(465) $'OL-:&!2(12O($2(121Vc
(466) 2 6'87 %3c2!. I @AN.
(467) 8 JR 5"F(]-
(468) P
(469) . 8. R. ]" '> P$>+ F(]
(470) &F(<
(471) 2! 3K2! * )5GZ+ $&" ($-0#"=-
(472) "%$"(L-
(473) "(!F]]
(474) ]c!("±"%F#-
(475) (""12"$c-:c (12O($2(121V&
(476) 2! v+ -0$ &3*P!Py +#-} 5!#12($c(1212 ;+;-
(477) "("#12125!#!3 /
(478) K!*N#-_$*Gb+ $?@"f8T´ #" "("v+ $1&-
(479) "-:!$K"c($!-
(480) (" §("c($!-
(481) (" 3 % + !"$2GY!cN#- + F(]
(482) "$c;-
(483) 1
(484) $<)"Z+ 12"$c F( £%;-
(485) -J 7-
(486) $ + (1V1"-:N#&"%$2G3X $12 . ) 12$2 v+ :]N#V 0]" &!$ 0 c &3 P! 1 2 3$ 1V$&,+ ["-
(487) e!*+ <;-78W3b·*"=]+ #< 0P! . ' ' ) ¤ '¥ )&L#-T3@(L
(488) c!fN(-6"%F()-0c(">]" _
(489) 2 (""%F#-
(490) (""12"$3 bv+ ["-
(491) $!-
(492) ("b W?^"!1&
(493) v"(1 7mCrUpCw~$fJm p w!("$Z!$]"]<3¤U¸K]" ¤ ¥ &'$b]" . )³ :>F]]!-:]
(494) !$P 7-x + ]¥<3±·*"E"($<£] u¤ P¥c $ u¤ ¥f
(495) &"(1f 7-
(496) $ . _¤ P¥,
(497) $ u¤ ¥
(498) b"(1 v 7-+ b §
(499) $ %3$ Y¤ P¥~$ ±¤¥6 W?^"!1&
(500) cb"(1Z §$* v3b·*"V-"$!-7[cG !bN#-\"K#-7I "$ZN#e]
(501) <v"(1 7-x+ 3v·*" "#$e) &)y + 7 }
(502) &!f($"Y]+ v :!!$!-
(503) $$!-
(504) ("Y&$($b
(505) f"f 7-
(506) P =]" ] +O3 _f+ 1]"%$-N#,u$12_&gW : !$~v+ ["-
(507) v]_".!$ 12,v$<]";-
(508) $!-
(509) ("=+ $!-:N($(+ 36d, !.!$ 12c(12""="!1&
(510) /?² G%-
(511) (1V*$e& ]
(512) *? -
(513) "8Q+ "1V$$<]"$e2 :
(514) W?^"!1&
(515) 2b$<)";-
(516) $!-
(517) ("e?@"!3 ·*"+ !"$v
(518) .!$ 12**$]";-
(519) $!-
(520) ("E+ $!-:N($*+ !(689(1V?@"!.!$ 1289(1V \]"6
(521) N# (">v+ !-
(522) F(f
(523) *$<]";-
(524) $!-
(525) (" ~N#-a!("$bFQ 7-:3fd,c.!$ 12f!$*+ !"$ + /[ (2z#3 (' ). JR 8 *R @PR. @,:. D@ :. 8R. 8. 8 R. 8. 68 Q@ MR. @. @. @. 1/ 032 287.0 ;712 5< EF7.G1H PQ0F;RH GQT /Y;RH 5_ /YPQT`H 0 /bE)T . . ~-. $*o q :. :. :. :. :. :. :. ;P. . :. . :. :. :. :. :. :. :. ¹. ¹. ´. : :. J. [. . [. . J. a. P. $. . J. :. :. [. $q :t . :. :. J. [. ;P<J. P. :. ;J. [. ;P<J. ;P. :. a. [. :. nm ojp &&m q. *0 C. ·t¸¶AÆs³. [. :. :. ;J. :. :. ;J. qV:. J. q4*:. qV:. [. 6o. :. ^q :. *Jt a. :. :. +q :. [. >'?= ( A@ '?== ( AA@@ I J &K ML * '?( T VU W+QU- '&= ( @ Z#"'?[( $X% A@ '&6( A@ Z#"[$X% A@ "$&% A@ >'?'?= (( A@ A '&a( J def 3 '?6c( @ 4
(526) C :. &1 <M M$nr&6 $ . t°±. !#"')( $&% * ,+ .54 '&6( 9 '):( *B CD- >= A@ ON '&= ( ')( A@&N MS '&= ( A@ T XU '&= ( @ ON '&:( A@\* 4.+1]-^N A@ ON '&:( 3 A@&N A@ V >')= ( V A@ V 6D'&"[( $X% @ * ,+YD-. [ [. gu-
(527) (z&¶ hji QFk l. '. . &orq :t . . . . qV:. :. c.k r ts vu{jw xvy^z]{jw 8.{)u{|w 8 {Fs. & K+ À . 6J. (#. {. 2 <1+. }l . `q. 1 . 2 H2! b Ä v¹»¹. ³>¶. ¹. `
(528) ;-
(529) <v,+ ["-
(530) $!-
(531) ("?!+ N(-
(532) F]
(533) "Z"$bg9$1VG%-:!$"%$6"P J-
(534) $$+ <]$*yHLQ{#%L]{(L]{(LQ{( }W3 6 d,M#" ?^ 7
(535) 2!$c]<#$+ !-:+ K]c!("X$< -
(536) $1V"%$cP W? -
(537) "!$<]"-:]$-0#"DK"(1e )"]GL $f]K!("=$< -
(538) $1V"%$KK W?H($-0#">-
(539) "(FQ]
(540) * 3e`6(f"($(LO("=2$"%X :,+ ["-
(541) $!-
(542) (" T?!+ N#-0F]
(543) "2(+ c! T? -0"$<]"-:]$!-
(544) ("Y+ c]"e2F(;-
(545) ("89($K$8W -
(546) 0(3f_V< -:!(" 2M]-7GY!$cN(2$$D+ N(-
(547) F]
(548) " O$!2]<#$+ !-:!K?^"&8W´ ("="]$ 7 0V"Y$12 ?H)$Y+ N#-
(549) FQ
(550) "XyH{(L,{(¢ }b$2 7
(551) !+ !"$#1212V ® 0/ :] (¦+ N#-
(552) FQ
(553) "Yv+ ["-
(554) ]" :$Mb+ (!-
(555) YgWQ W3&dv*"($-0#"K?U+ N#-
(556) FQ
(557) " !#"%$f$($(+ e* :"($!-
(558) ("Y -:;-
(559) 1& :]$!-
(560) ("5yH|(« }W3E_®-;-
(561) 1 :]$-0#"E89($$ -
(562) $ $($
(563) ($-0#"2 :Y1=B 12P1 ]"-W $P!$&(+ 2!P : )$!-
(564) (" $<)";-
(565) $!-
(566) (" v+ ["-
(567) ]" :[ #z#3u>-:U-01& :]$!-
(568) ("8W -
(569)
(570) .
(571) 8W -
(572) $)!$<($-0#"']GA($!-
(573) ("P-
(574) "(FQ]
(575) * $2!$v+ ["-
(576) X"'$1V>$<]";-
(577) $!-
(578) ("8W -
(579)
(580) (3 *)
(581) ("K]"*&N(-!-
(582) $eN( :N#K,+ ["-
(583) $!-
(584) ("3. A04) 32 0 b Äv³. ¶ v¶´. ³¶. ¹. : #B!KEC!CECK G C!CEC 4:. 4 + $]"%$K(""b + G $ $e"2+ N("&?H($!-
(585) (" y 1y ¤«¥L :
(586) ¤ ¥ E L(_X ¤ ¥ E $]";-
(587) $!-
(588) ("V8T -
(589)
(590) K!$*v+ ["-
(591) f]¶ ;- P¤] ¥ E ¤ ¥ E + !"$P : #B $2 + G%-
(592) F(&$K$]";-
(593) $!-
(594) F(2& :$<]"U-0$-0#" 3V¡]- &¤U+ N#"F#-:]¥<L
(595) ( ;-~$e 01V"%$K;- P ¤ ] ¥ E 3. ~-. :. :. *0. ·t¸Å¶ÁÆs³. ¹. 6v- A O 2. ¹. ÂÄ ¹ ´. ¹. ´sÄ v¹. R"2 :]$!-
(596) ("§!$c#-
(597) $" ;-
(598) 1& )$!-
(599) ("D+ /U-,(P$(f$1V &L
(600) (¶. u$d (Z ;- _$@ ! ±¤ P¥#" I @AN$ I @AN%3 ;¾. . . ¾. . . 6+87. ;¾. . . '!. $ '. '.
(601) (v-7 aG-:!$. . 3. 5. 6+ 7. %& . . 8. . $ ZN(. $ N( \$ : 3 ±¤ ¥b
(602) (<(K$# OL-7 G%-:!$ _ $ ,N( v _$. *. . . ±¤ P ¥(" Y¤. +. . ¥,
(603) (<v-7 ~G-:!$. . B. $ ~N(. %& . $. 3. . R"c :]$-0#")S!$"K-;-
(604) 1 :]$-0#"+ c;-*S$+-, ("%$f*;-
(605) 1& )$!-
(606) ("*+ 3 ·*"=#-0$cN# $ !("$+ N#-
(607) FQ
(608) "$&¤ /. ¥Z;-6$!
(609) 12"$c;-_-7 G%-:!$c"&-:;-
(610) 1& )$!-
(611) (" + 0 $ \N# 3d,$$v :]$!-
(612) (" ?!+ N(-
(613) F]
(614) "e!$+ !Fv+ )$(u
(615) (b+ <]$~ $!-
(616) $f?^G1V 0(L (" 2y gWQ ~)8\ W?^#Z+ <]$,e+ $!-
(617) (" K]" W3 ªS y#} * )5! #1. "!#!L 1 Q- ¤ ¥
(618) y y#} * )5! #2. ¤ ¥ &"!#!3\4"2I_$L -7 ! $,? -
(619) "!$<]"-
(620) v
(621) e]]1> $ 2)6 0K]". yV$#"!$<]$*N# * &"!#2. 5! #!3`6(*1 + #-
(622) 2 P( W 1V(L(-7 ,! $e&N()"%$!-7[e*
(623) !$!-
(624) $$!-
(625) ("$*(">]< V,+ ["-
(626) $!-
(627) (" : (" #"(1V12c!-
(628) $¶. 68 Q@ R @ :. @:. R 98 Q@ MR R. R. 4@. 4 76#8AR 89. 8 3. 5 . !. ). _: 8®!$*"!$!-
(629) $$!-
(630) ("_3. ~-. ¹. 6v- A O c . ¹. ÂÄ ¹ ´. ¹. ³>¶. ¹. R"2 :]$!-
(631) (";§$#-
(632) $2" U-01& :]$!-
(633) ("±+ P8T -
(634)
(635) ;-,(P$(f$12 &L
(636) (¶. . *0. ·t¸Å¶ÁÆs³. ;LQ 0#<v-7 aG-:!$P" $ aN# : O$ < 93 LQ 0#<v-7 aG-:!$ $ aN( :> % $ 3 ;- = % ;- ? $@ ! ±¤ P¥#" Y¤ ¥<LQ 0#<b#e$# OL-7 ,G%-:!$ I @AN$ R I @AN%3 ;-. ¾. ¾. . . . . . ¾. . . 6+87. ;. $ ZN(. . . ¾. . . +. : ? . $ aN#. 6+ 7. %& . $. '! '. ±¤ P ¥(" Y¤. . ¥<L
(637) (<v-7 G%-:!$. . $ aN#. B. : %@ . $ . 3. $. R ", :]$-0#"A=!$u",-:;-
(638) 1& :]$!-
(639) ("&+ 68W -
(640) 0b;-B=$2 , !("$~_;-
(641) 1& :]$!-
(642) ("6+ 8W -
(643)
(644) 3 ·*">#-
(645) $KN( §$ !("$v8T -
(646)
(647) 12"$+ N#-
Documents relatifs
Les thèmes majeurs (tab.5.4) abordés par les îliens interrogés sont, pour la grande majorité, les mêmes sur toutes les îles : ils concernent les usages anciens
Chez l’Homme, les segments de gène V H ont été classés en sept familles (la famille 7 n’est pas représentée ici car aucun segment fonctionnel n’y a été décrit) qui ont
Le Négus consacra une énergie considérable en vue de gagner cet appui international, mais, malgré la force de son discours prononcé en juin 1936 devant ses pairs à la tribune de la
In this paper, we propose a novel approach based on the barycentric coordinates of automatically tracked 2D facial landmarks from videos to objectively evaluate the facial
Dirk Obbink (dir.), Doctrine and Doxography. Studies on Heraclitus and Pythagoras, Berlin / Boston, De Gruyter, 2013, p.. et le logos auquel les hommes devraient accorder
Les exorcismes ne sont pas publics, les sœurs noires elles-mêmes sont tenues le plus possible à l’écart, et c’est chaque fois Jeanne qui force les choses pour que, finalement,
Toute- fois, d’autres marqueurs des cellules POMC tels que NeuroD1 n’ont pas été induits dans cette expérience, ce qui indique que Tpit suffit in vivo pour provoquer la
La possibilité que Bcl-2, PP1 α et Bad s’associent pour former un complexe dont l’activité Bad phosphatase est accrue pendant l’apoptose permet d’envisager que cette