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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 Nancy - Grand Est, LORIA - FM - Department of Formal Methods
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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Contributor : Christophe Ringeissen Connect in order to contact the contributor
Submitted on : Friday, October 17, 2008 - 2:50:43 PM
Last modification on : Thursday, January 13, 2022 - 12:00:08 PM
Long-term archiving on: : Tuesday, October 9, 2012 - 1:58:04 PM


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  • HAL Id : inria-00331735, version 1



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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