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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Enrica Nicolini, Christophe Ringeissen, Michael Rusinowitch. Satisfiability Procedures for Combination of Theories Sharing Integer Offsets. [Research Report] RR-6697, INRIA. 2008, pp.22. ⟨inria-00331735v2⟩

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