Logic for Programming, Artificial Intelligence, and Reasoning
Author(s) -
Jaime Carbonell,
Jörg Siekmann,
Miki Hermann,
Андрей Воронков,
Workshop Chair,
Christelle Scharff,
Marı́a Alpuente,
Franz Baader,
Matthias Baaz,
Christoph Benzmüller,
Koen Claessen,
Javier Esparza,
Bernd Fischer,
Jürgen Giesl,
Jean Goubault-Larrecq,
Erich Grädel,
Ziyad Hanna,
Pascal Van Hentenryck,
Brahim Hnich,
Ian Horrocks,
Viktor Kunčak,
Orna Kupferman,
Christopher J. Lynch,
Dale Miller,
George C. Necula,
Joachim Niehren,
C.-H. Luke Ong,
Catuscia Palamidessi,
Michel Parigot,
Frank Pfenning,
Reinhard Pichler,
Michaël Rusinowitch,
Mooly Sagiv,
Gernot Salzer,
Sopheap Seng,
Geoff Sutcliffe,
Sophie Tison,
Margus Veanes,
Alicia Villanueva,
David D. Fang,
W K Hung Benjamin,
Werner Wies,
Stefan Woltran,
James Worrell,
Hongwei Xi,
Avi Yadgar,
Greta Yorsh,
Karen Zee,
Juergen Zimmer,
Evgeny Zolin
Publication year - 2006
Publication title -
lecture notes in computer science
Language(s) - English
Resource type - Book series
eISSN - 1611-3349
pISSN - 0302-9743
DOI - 10.1007/11916277
Subject(s) - computer science , logic programming , programming language , automated reasoning , artificial intelligence , cognitive science , psychology
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
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