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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. Rusinowtich

Source :

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
A05       @2 1102
A08 01  1  ENG  @1 Automated verification by induction with associative-commutative operators
A09 01  1  ENG  @1 CAV : computer aided verification : New Brunswick NJ, July 31 - August 3, 1996
A11 01  1    @1 BERREGEB (N.)
A11 02  1    @1 BOUHOULA (A.)
A11 03  1    @1 RUSINOWTICH (M.)
A12 01  1    @1 ALUR (Rajeev) @9 ed.
A12 02  1    @1 HENZINGER (Thomas A.) @9 ed.
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.
A20       @1 220-231
A21       @1 1996
A23 01      @0 ENG
A43 01      @1 INIST @2 16343 @5 354000060634330190
A44       @0 0000 @1 © 1996 INIST-CNRS. All rights reserved.
A45       @0 15 ref.
A47 01  1    @0 96-0468540
A60       @1 P @2 C
A61       @0 A
A64 01  1    @0 Lecture notes in computer science
A66 01      @0 DEU
A66 02      @0 USA
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.
C02 01  X    @0 001D02C02
C02 02  X    @0 001D02A05
C02 03  X    @0 001D03F06A
C03 01  X  FRE  @0 Vérification @5 01
C03 01  X  ENG  @0 Verification @5 01
C03 01  X  GER  @0 Eichen @5 01
C03 01  X  SPA  @0 Verificación @5 01
C03 02  X  FRE  @0 Automate fini @5 02
C03 02  X  ENG  @0 Finite automaton @5 02
C03 02  X  SPA  @0 Autómata estado finito @5 02
C03 03  X  FRE  @0 Additionneur @5 03
C03 03  X  ENG  @0 Adder @5 03
C03 03  X  SPA  @0 Adicionador @5 03
C03 04  X  FRE  @0 Démonstration théorème @5 04
C03 04  X  ENG  @0 Theorem proving @5 04
C03 04  X  SPA  @0 Demostración teorema @5 04
C03 05  X  FRE  @0 Règle inférence @5 05
C03 05  X  ENG  @0 Inference rule @5 05
C03 05  X  SPA  @0 Regla inferencia @5 05
C03 06  X  FRE  @0 Réécriture @5 06
C03 06  X  ENG  @0 Rewriting @5 06
C03 06  X  SPA  @0 Reescritura @5 06
C03 07  X  FRE  @0 Unification @5 07
C03 07  X  ENG  @0 Unification @5 07
C03 07  X  SPA  @0 Unificación @5 07
N21       @1 323
pR  
A30 01  1  ENG  @1 Computer aided verification. International conference @2 8 @3 New Brunswick NJ USA @4 1996-07-31

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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