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Automatic Combinability of Rewriting-Based Satisfiability Procedures

Identifieur interne : 001361 ( Istex/Corpus ); précédent : 001360; suivant : 001362

Automatic Combinability of Rewriting-Based Satisfiability Procedures

Auteurs : Hélène Kirchner ; Silvio Ranise ; Christophe Ringeissen ; Duc-Khanh Tran

Source :

RBID : ISTEX:53CE0469381CC228FC42425B7B6186E6227A7A4B

Abstract

Abstract: We address the problems of combining satisfiability procedures and consider two combination scenarios: (i) the combination within the class of rewriting-based satisfiability procedures and (ii) the Nelson-Oppen combination of rewriting-based satisfiability procedures and arbitrary satisfiability procedures. In each scenario, we use meta-saturation, which schematizes saturation of the set containing the axioms of a given theory and an arbitrary set of ground literals, to syntactically decide sufficient conditions for the combinability of rewriting-based satisfiability procedures. For (i), we give a sufficient condition for the modular termination of meta-saturation. When meta-saturation for the union of theories halts, it yields a rewriting-based satisfiability procedure for the union. For (ii), we use meta-saturation to prove the stable infiniteness of the component theories and deduction completeness of their rewriting-based satisfiability procedures. These properties are important to establish the correctness of the Nelson-Oppen combination method and to obtain an efficient implementation.

Url:
DOI: 10.1007/11916277_37

Links to Exploration step

ISTEX:53CE0469381CC228FC42425B7B6186E6227A7A4B

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