Theorem Proving Modulo
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Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. .
(3) . !#"%$'&()+*-,/.1032+465"798;:<4>=? @A,CB% :<D?=EFG !4>HI03@E4. No 3400 April 1998 ` THEME 2. N 0249-6399. apport de recherche.
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(242) ¤1 AD<O=>1b<O26=><L26581 PQ581Ew9';JUAD26581 23} CE e e W'&Y$@ :<O23591 23} (A@K =81 Y e
(243) e => e = 9 -0JL59@$1 YJL'[AD5943@$<L26581 = e M( . n2379@$JL'_HT-0JO58@ 1 Yl';E<L';1YR'&YJO'&AL5846@R<L26581-. . W . E59%x'X JL5E5>}AFEC*261 YR@ :<L26581(581*<O!$'"43'&1$7><O!,58}GYR'&JL26wr=r<L26581A¡FG';465rz=8JL'YR'&AD<LJO@ :<O@$JO231$7<L! '"Y$';JO23wr=r <O23591 A"261=^<O58XR¤YR5rz1%x=81$1$'&J&T"!$'[AD'ZX$JO5E5>}A"@ AL'0<L!$'Z}~5943465rz231 7(JO';%=8J © ¦ qR2p F 4 IGKJ k ! # % 3<.01 = = 8 @ 301,F458ba 3<* 86<. 6fk C.0+,/4 * ,F. = =' 8 @;3 0+,/458ba#3#*E86#. 6fk C.01,F4 Y « o&q$o « ';< = => FG'=xAD';<58}X$JO58XG59AL2<O23591 A& Q'ZzJL23<L' }~59J<L!$'ZX$JO58XG59AL2<O23591 h+
(244) z! ';JO' h = = =8JL'<O!$'wr=>JO26=8F$46'&Ax5> } = = S =81 Y <L!$' X JL59X5bAD23<L2658Q1 8 23} 26A ';%xXR<NC8 . . & D3@?=3@3" ". Q' JOAD<AD<O=8JD<z2<O!<L!$'0z';464O E1$5rz1xX$JL59X5bAD23<L26581591<L! ':59JLJO'&:<L1$'[ALAV5>}B<O!$':;46=8@ AD' }~58JO%T 5><L2?:' <O! =r<n<L! 'X JL5E5>}$58}$<L! 26A X$JO58XG59AL23<L26581@ AL'&AT % 95846';% <L! ';58JO';% 2 '8|<O!$':;58JOJL'[:<O1$'&AOAB58}A 95846';%x2K$&=r<O23591 ? p 4« K« m o « 4 IG « p|p ¦ s>o ¦ m&m « o ¦ s %q nm ¦ « p ,F* = = = = = , L4 6 L 6<A @589*E86#.H@:N 3<.0 ,3!@F,/* 6fkiL4 6:LH6 @589* 86<. @ Y) ,F. / = = ?
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(246) = = = 9 = = 9 # = 7 , 3(a , / = => @ E = = = = = @ E. e;`.
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(249) = = = 9 = = 9 # Qc' b1 5rz<L!=r< 23} = = @ E <O!$';1 = = @ E = = "!b@A;S$z'Z581$46C 1$';'[Y<O5X$JL5rw9'{<O! =r<23} = = ( <O!$';1 = = @ E Q'X JL5rw9'{<L! 26AxFEC 231YR@ :<O23591581<L!$'AD<LJO@ :<O@$JO'058}<O!$'*YR'&JL26wr=r<L265815>} = = ( }E<O!$'VYR';JO26w|=><L26581Z2?A';%xXR<NC9S&<O!$';1591$'T5>}b<L! 'K:4?=>@ AL'&A 2?A "!E@ A = = @iE©. }<O!$' JOAD<KJO@$43'26A p « \¬p ¦ m « %¡]o « 43'[=8YR261$7<O5^=*:;46=8@ AL' e Sb<O!$';1{z' ! =|w9' . e S e =>1 Y e e e Q'V! =|w8' = = = e ( S&<O!E@ ABFEC 26 1 YR@:<L26581 !ECEXG5><L ! '&AL26AK9 zQ'! =|w9' =X$JO5E5> }©5>}© <L!$'AD'[H9@ ';1b< = = = e @ E T"!$' AL'&Hb@$'&1b< = h@iE e82?ABX JL5rwr=>F 43'9S<L!E@ AFEC <O!$'Q:;@R<¡JO@$43'KzQ'V79'<="X JL5E5>}R58}b<O!$'QAL' Hb@$'&1b< = = = >= @iE =>1YFEC0:581b<OJO=9:<L26581Z="X$JO5E5>}958} = = @ E }<L!$'0 JUAD<"JO@$46'2?A l¦ ¬ s8o « JO'&YR@ :;231 7,<O!$'ZX$JL59X5bAD23<L26581 <L5 e SE<O!$';146'<"<L! 'ZAL'< = = FG':
(250) e # Q'*! =|w9' = = = ( SR<L!E@ A FbC231YR@ :<O23591!EC9 XG5><O!$'&AL2?Az' ! =|w8'K=X$JO5E 5> } 58}$<L!$'"AL'&Hb@$';1b < = = = @ E =>1 Y,FECzQ'[<= 8'&1$261$7 58}<O!$'AD'[Hb@$';1b< = = = = = @ E "! 'VAD';< = = = = = 26A©<O!$'K:;46=8@ AD' }~59JL% 5>} = = = e S <O!E@ AnFbC^:58 JOJO'&:<O1$'&AOAB58}$<L! '":;46=8@ AL'K }~59JL% <O!$'AD'[H9@ ';1b< = = = e @iE2?A X$JO5r wb =8F$46',=>1 Y<O!E@ A<O!$',AL'&Hb@$';1b< = = = @iE =846AL5 C:;581b<LJU=8:<L26581zQ'79'<= X JL5E5>}n5>}<L!$'*AL'&Hb@$'&19< = = @ E }¡<L!$' JOAD<QJO@$46' 2?A « ¦ prm « :591Ew8';JL<L261$7Z<O!$' X$JO58XG59AL23<L26581 <L5 e Sb<L!$'&1{z' ! =|w9' = = = e ( S9<L!E@ AVFbC^231YR@ :<O23591!ECbXG5><O!$'&AL2?ATzQ'!=|w8'=ZX$JO5b58}G58}©<L!$' AL'&Hb@$'&19< = = = e @iE=>1 YFECl:591b<LJU=8:<O23591lz'Z78'< =(X$JO5E5>}n5>} = = @iE© }0<L! ' JOAD<JL@ 43'2?A m&o&Bq ©o q$o « S46'< FG'<L!$'261 AD<O=>1b<O26=><L'&Y:;46=8@ AD'9 Q'! =|w9' = = = = ( ( S<O!E@ AFEC261 YR@ :<L26581!ECbXG5><O!$'&AL2?Az'x! =|w8'=X$JO5E5>} 58 } = = =
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(253) ? ! #@E" ". '[:;=>@AD'*z'(! =|w8'*JO';zJO23<L',JO@$46'&A <LJU=>1 AD}~58JO%x231 7l=r<O58%x26:,X$JO58XG59AL2<O23591 A 261b<L5l1 581c=><L59%(2?:*591$'&A&SG<L!$' <OJO=81 AD}~58JO%x=><L26581<L5:4?=>@AD'(}~58JO% 231:46@ YR261$7A 95846';%x2K$&=r<O235910:;=81$1$5><FG'lYR591$'=8A*=81c261$23<L2?=>4VX =8JD< 58}V<L! 'x=8437958JO2<O!$%vF$@R<23<Z%^@ AD<0FG'YR581$'(581c<L! ' C9^"!E@ A023}Qz',<OJLC<O5X$JO5rw8',<L! =><&SB23} = . eMR.
(254) =8JL'0:4?=>@ AL'&A&S = = @ E Q23%xX$4623'[A = = ( Q<L! '0JO'&:;@$JUAD26581lY$5b'[A1$5><785^<L! JL59@$78!BS GF '&:&=>@ AL' X JL59X5bAD 23<L26581 AV<L! =><"=8JL'1$5><:4?=>@AD'[AK %=|Cx5R :;:@ JQ261{<O!$'X JL5E5>}B58} = = @iE T"!E@ A z'Z! =|w8'<L5X JL5rw9'0YR26JO'&:<O43C{<L! =>< @iE . . . 26%xX$4623'[A
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