Combinable Extensions of Abelian Groups

Enrica Nicolini 1 Christophe Ringeissen 1 Michael Rusinowitch 1
1 CASSIS - Combination of approaches to the security of infinite states systems
FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies, INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : The design of decision procedures for combinations of theories sharing some arithmetic fragment is a challenging problem in verification. One possible solution is to apply a combination method à la Nelson-Oppen, like the one developed by Ghilardi for unions of nondisjoint theories. We show how to apply this non-disjoint combination method with the theory of abelian groups as shared theory. We consider the completeness and the effectiveness of this non-disjoint combination method. For the completeness, we show that the theory of abelian groups can be embedded into a theory admitting quantifier elimination. For achieving effectiveness, we rely on a superposition calculus modulo abelian groups that is shown complete for theories of practical interest in verification.
Type de document :
Communication dans un congrès
Renate Schmidt. 22nd International Conference on Automated Deduction - CADE-22, Aug 2009, Montreal, Canada. Springer, 5663, pp.51-66, 2009, Lecture Notes in Artificial Intelligence. 〈10.1007/978-3-642-02959-2_4〉
Liste complète des métadonnées

https://hal.inria.fr/inria-00428077
Contributeur : Christophe Ringeissen <>
Soumis le : mercredi 28 octobre 2009 - 17:23:28
Dernière modification le : jeudi 15 février 2018 - 08:48:09

Lien texte intégral

Identifiants

Citation

Enrica Nicolini, Christophe Ringeissen, Michael Rusinowitch. Combinable Extensions of Abelian Groups. Renate Schmidt. 22nd International Conference on Automated Deduction - CADE-22, Aug 2009, Montreal, Canada. Springer, 5663, pp.51-66, 2009, Lecture Notes in Artificial Intelligence. 〈10.1007/978-3-642-02959-2_4〉. 〈inria-00428077〉

Partager

Métriques

Consultations de la notice

143