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Satisfiability Procedures for Combination of Theories Sharing Integer Offsets

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 (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 : Wednesday, October 28, 2009 - 5:17:18 PM
Last modification on : Friday, January 21, 2022 - 3:09:37 AM


  • HAL Id : inria-00427870, version 1


Enrica Nicolini, Christophe Ringeissen, Michael Rusinowitch. Satisfiability Procedures for Combination of Theories Sharing Integer Offsets. 15th International Conference on Tools and Algorithms for the Construction and Analysis of Systems - TACAS 2009, Mar 2009, York, United Kingdom. pp.428-442. ⟨inria-00427870⟩



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