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Combining Superposition and Induction: A Practical Realization

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8152)

Abstract

We consider a proof procedure aiming at refuting clause sets containing arithmetic constants (or parameters), interpreted as natural numbers. The superposition calculus is enriched with a loop detection rule encoding a form of mathematical induction on the natural numbers (by “descente infinie”). This calculus and its theoretical properties are described in [2,16]. In the present paper, we focus on more practical aspects. We provide algorithms to apply the loop detection rule in an automatic and efficient way. We describe a research prototype implementing our technique and provide some preliminary experimental results.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.University of Grenoble (LIG, CNRS)France

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