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Erschienen in:
2009 | OriginalPaper | Buchkapitel
Complete Instantiation for Quantified Formulas in Satisfiabiliby Modulo Theories
verfasst von : Yeting Ge, Leonardo de Moura
Erschienen in: Computer Aided Verification
Verlag: Springer Berlin Heidelberg
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Quantifier reasoning in Satisfiability Modulo Theories (SMT) is a long-standing challenge. The practical method employed in modern SMT solvers is to instantiate quantified formulas based on heuristics, which is not refutationally complete even for pure first-order logic. We present several decidable fragments of first order logic modulo theories. We show how to construct models for satisfiable formulas in these fragments. For richer undecidable fragments, we discuss conditions under which our procedure is refutationally complete. We also describe useful heuristics based on model checking for prioritizing or avoiding instantiations.