InforLorV4, Main, Exploration, bibRecordById, Pascal:04-0542416

Abstraction-Driven Verification of Array Programs

Identifieur interne : 006C48 ( Main/Exploration ); précédent : 006C47; suivant : 006C49

Abstraction-Driven Verification of Array Programs

Auteurs : David Déharbe [Brésil] ; Abdessamad Imine [France] ; Silvio Ranise [France]

Source :

Lecture Notes in Computer Science [ 0302-9743 ]

RBID : ISTEX:431EA2D1BB13224E3E69D36991EA2E71B8C36934

Descripteurs français

Pascal (Inist)
- Abstraction, Arithmétique Presburger, Calcul symbolique, Démonstration théorème, Exactitude programme, Intelligence artificielle, Programme contrôle, Quantificateur, Satisfaisabilité, Théorie preuve, Théorie équationnelle, Viabilité, Vérification programme.
Wicri :
- topic : Intelligence artificielle.

English descriptors

KwdEn :
- Abstraction, Artificial intelligence, Checking program, Equational theory, Presburger arithmetic, Program correctness, Program verification, Proof theory, Quantifier, Satisfiability, Symbolic computation, Theorem proving, Viability.

Abstract

Abstract: We describe a refutation-based theorem proving algorithm capable of checking the satisfiability of non-ground formulae modulo (a combination of) theories. The key idea is the use of abstraction to drive the application of (i) ground satisfiability checking modulo theories axiomatized by equational clauses, (ii) Presburger arithmetic, and (iii) quantifier instantiation. A prototype implementation is used to discharge the proof obligations necessary to show the correctness of some typical programs manipulating arrays. On these benchmarks, the prototype automatically discharge more proof obligations than Simplify – the prover of reference for program checking – thereby confirming the viability of our approach.

Url:

https://api.istex.fr/ark:/67375/HCB-KCLJJGGQ-X/fulltext.pdf

DOI: 10.1007/978-3-540-30210-0_23

Affiliations:

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Abstraction-Driven Verification of Array Programs

Abstraction-Driven Verification of Array Programs

Source :

Descripteurs français

English descriptors

Abstract

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