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Satisfiability Procedures for Combination of Theories Sharing Integer Offsets

Enrica Nicolini 1 Christophe Ringeissen 1, * Michael Rusinowitch 1
* Corresponding author
1 CASSIS - Combination of approaches to the security of infinite states systems
FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174), INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : We present a novel technique to combine satisfiability procedures for theories that model some data-structures and that share the integer offsets. This procedure extends the Nelson-Oppen approach to a family of non-disjoint theories that have practical interest in verification. The result is derived by showing that the considered theories satisfy the hypotheses of a general result on non-disjoint combination. In particular, the capability of computing logical consequences over the shared signature is ensured in a non trivial way by devising a suitable complete superposition calculus.
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https://hal.inria.fr/inria-00331735
Contributor : Christophe Ringeissen <>
Submitted on : Friday, October 17, 2008 - 2:50:43 PM
Last modification on : Wednesday, January 8, 2020 - 2:17:25 PM
Document(s) archivé(s) le : Tuesday, October 9, 2012 - 1:58:04 PM

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  • HAL Id : inria-00331735, version 1

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Enrica Nicolini, Christophe Ringeissen, Michael Rusinowitch. Satisfiability Procedures for Combination of Theories Sharing Integer Offsets. [Research Report] RR-6697, 2008, pp.22. ⟨inria-00331735v1⟩

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