Satisfiability Procedures for Combination of Theories Sharing Integer Offsets

  • Authors:
  • Enrica Nicolini;Christophe Ringeissen;Michaël Rusinowitch

  • Affiliations:
  • LORIA & INRIA Nancy Grand Est, France;LORIA & INRIA Nancy Grand Est, France;LORIA & INRIA Nancy Grand Est, France

  • Venue:
  • TACAS '09 Proceedings of the 15th International Conference on Tools and Algorithms for the Construction and Analysis of Systems: Held as Part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2009,
  • Year:
  • 2009

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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.