Automated verification by induction with associative-commutative operators
Identifieur interne :
000D26 ( PascalFrancis/Corpus );
précédent :
000D25;
suivant :
000D27
Automated verification by induction with associative-commutative operators
Auteurs : N. Berregeb ;
A. Bouhoula ;
M. RusinowtichSource :
-
Lecture notes in computer science [ 0302-9743 ] ; 1996.
RBID : Pascal:96-0468540
Descripteurs français
English descriptors
Abstract
Theories with associative and commutative (AC) operators, such as arithmetic, process algebras, boolean algebras, sets,... are ubiquitous in software and hardware verification. These AC operators are difficult to handle by automatic deduction since they generate complex proofs. In this paper, we present new techniques for combining induction and AC reasoning, in a rewrite-based theorem prover. The resulting system has proved to be quite successful for verification tasks. Thanks to its careful rewriting strategy, it needs less interaction on typical verification problems than well known tools like NQTHM, LP or PVS. We also believe that our approach can easily be integrated as an efficient tactic in other proof systems.
Notice en format standard (ISO 2709)
Pour connaître la documentation sur le format Inist Standard.
pA |
A01 | 01 | 1 | | @0 0302-9743 |
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A05 | | | | @2 1102 |
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A08 | 01 | 1 | ENG | @1 Automated verification by induction with associative-commutative operators |
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A09 | 01 | 1 | ENG | @1 CAV : computer aided verification : New Brunswick NJ, July 31 - August 3, 1996 |
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A11 | 01 | 1 | | @1 BERREGEB (N.) |
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A11 | 02 | 1 | | @1 BOUHOULA (A.) |
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A11 | 03 | 1 | | @1 RUSINOWTICH (M.) |
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A12 | 01 | 1 | | @1 ALUR (Rajeev) @9 ed. |
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A12 | 02 | 1 | | @1 HENZINGER (Thomas A.) @9 ed. |
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A14 | 01 | | | @1 INRIA Lorraine & CRIN, Campus Scientifique, 615, rue du Jardin Botanique - B.P. 101 @2 54602 Villers-lès-Nancy @3 FRA @Z 1 aut. @Z 2 aut. @Z 3 aut. |
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A20 | | | | @1 220-231 |
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A21 | | | | @1 1996 |
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A23 | 01 | | | @0 ENG |
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A43 | 01 | | | @1 INIST @2 16343 @5 354000060634330190 |
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A44 | | | | @0 0000 @1 © 1996 INIST-CNRS. All rights reserved. |
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A45 | | | | @0 15 ref. |
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A47 | 01 | 1 | | @0 96-0468540 |
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A60 | | | | @1 P @2 C |
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A61 | | | | @0 A |
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A64 | 01 | 1 | | @0 Lecture notes in computer science |
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A66 | 01 | | | @0 DEU |
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A66 | 02 | | | @0 USA |
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C01 | 01 | | ENG | @0 Theories with associative and commutative (AC) operators, such as arithmetic, process algebras, boolean algebras, sets,... are ubiquitous in software and hardware verification. These AC operators are difficult to handle by automatic deduction since they generate complex proofs. In this paper, we present new techniques for combining induction and AC reasoning, in a rewrite-based theorem prover. The resulting system has proved to be quite successful for verification tasks. Thanks to its careful rewriting strategy, it needs less interaction on typical verification problems than well known tools like NQTHM, LP or PVS. We also believe that our approach can easily be integrated as an efficient tactic in other proof systems. |
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C02 | 01 | X | | @0 001D02C02 |
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C02 | 02 | X | | @0 001D02A05 |
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C02 | 03 | X | | @0 001D03F06A |
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C03 | 01 | X | FRE | @0 Vérification @5 01 |
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C03 | 01 | X | ENG | @0 Verification @5 01 |
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C03 | 01 | X | GER | @0 Eichen @5 01 |
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C03 | 01 | X | SPA | @0 Verificación @5 01 |
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C03 | 02 | X | FRE | @0 Automate fini @5 02 |
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C03 | 02 | X | ENG | @0 Finite automaton @5 02 |
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C03 | 02 | X | SPA | @0 Autómata estado finito @5 02 |
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C03 | 03 | X | FRE | @0 Additionneur @5 03 |
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C03 | 03 | X | ENG | @0 Adder @5 03 |
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C03 | 03 | X | SPA | @0 Adicionador @5 03 |
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C03 | 04 | X | FRE | @0 Démonstration théorème @5 04 |
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C03 | 04 | X | ENG | @0 Theorem proving @5 04 |
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C03 | 04 | X | SPA | @0 Demostración teorema @5 04 |
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C03 | 05 | X | FRE | @0 Règle inférence @5 05 |
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C03 | 05 | X | ENG | @0 Inference rule @5 05 |
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C03 | 05 | X | SPA | @0 Regla inferencia @5 05 |
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C03 | 06 | X | FRE | @0 Réécriture @5 06 |
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C03 | 06 | X | ENG | @0 Rewriting @5 06 |
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C03 | 06 | X | SPA | @0 Reescritura @5 06 |
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C03 | 07 | X | FRE | @0 Unification @5 07 |
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C03 | 07 | X | ENG | @0 Unification @5 07 |
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C03 | 07 | X | SPA | @0 Unificación @5 07 |
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N21 | | | | @1 323 |
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pR |
A30 | 01 | 1 | ENG | @1 Computer aided verification. International conference @2 8 @3 New Brunswick NJ USA @4 1996-07-31 |
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Format Inist (serveur)
NO : | PASCAL 96-0468540 INIST |
ET : | Automated verification by induction with associative-commutative operators |
AU : | BERREGEB (N.); BOUHOULA (A.); RUSINOWTICH (M.); ALUR (Rajeev); HENZINGER (Thomas A.) |
AF : | INRIA Lorraine & CRIN, Campus Scientifique, 615, rue du Jardin Botanique - B.P. 101/54602 Villers-lès-Nancy/France (1 aut., 2 aut., 3 aut.) |
DT : | Publication en série; Congrès; Niveau analytique |
SO : | Lecture notes in computer science; ISSN 0302-9743; Allemagne; Da. 1996; Vol. 1102; Pp. 220-231; Bibl. 15 ref. |
LA : | Anglais |
EA : | Theories with associative and commutative (AC) operators, such as arithmetic, process algebras, boolean algebras, sets,... are ubiquitous in software and hardware verification. These AC operators are difficult to handle by automatic deduction since they generate complex proofs. In this paper, we present new techniques for combining induction and AC reasoning, in a rewrite-based theorem prover. The resulting system has proved to be quite successful for verification tasks. Thanks to its careful rewriting strategy, it needs less interaction on typical verification problems than well known tools like NQTHM, LP or PVS. We also believe that our approach can easily be integrated as an efficient tactic in other proof systems. |
CC : | 001D02C02; 001D02A05; 001D03F06A |
FD : | Vérification; Automate fini; Additionneur; Démonstration théorème; Règle inférence; Réécriture; Unification |
ED : | Verification; Finite automaton; Adder; Theorem proving; Inference rule; Rewriting; Unification |
GD : | Eichen |
SD : | Verificación; Autómata estado finito; Adicionador; Demostración teorema; Regla inferencia; Reescritura; Unificación |
LO : | INIST-16343.354000060634330190 |
ID : | 96-0468540 |
Links to Exploration step
Pascal:96-0468540
Le document en format XML
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<ET>Automated verification by induction with associative-commutative operators</ET>
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<AF>INRIA Lorraine & CRIN, Campus Scientifique, 615, rue du Jardin Botanique - B.P. 101/54602 Villers-lès-Nancy/France (1 aut., 2 aut., 3 aut.)</AF>
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<EA>Theories with associative and commutative (AC) operators, such as arithmetic, process algebras, boolean algebras, sets,... are ubiquitous in software and hardware verification. These AC operators are difficult to handle by automatic deduction since they generate complex proofs. In this paper, we present new techniques for combining induction and AC reasoning, in a rewrite-based theorem prover. The resulting system has proved to be quite successful for verification tasks. Thanks to its careful rewriting strategy, it needs less interaction on typical verification problems than well known tools like NQTHM, LP or PVS. We also believe that our approach can easily be integrated as an efficient tactic in other proof systems.</EA>
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