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Erschienen in:
2006 | OriginalPaper | Buchkapitel
Theory Instantiation
verfasst von : Harald Ganzinger, Konstantin Korovin
Erschienen in: Logic for Programming, Artificial Intelligence, and Reasoning
Verlag: Springer Berlin Heidelberg
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In this paper we present a method of integrating theory reasoning into the instantiation framework. This integration is done in the black-box style, which allows us to integrate different theories in a uniform way. We prove completeness of the resulting calculus, provided that the theory reasoner is answer-complete and complete for reasoning with ground clauses. One of the distinctive features of our approach is that it allows us to employ off-the-shelf satisfiability solvers for ground clauses modulo theories, as a part of general first-order reasoning. As an application of this approach, we show how it is possible to combine the instantiation calculus with other calculi, such as ordered resolution and paramodulation.