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Superposition-based Equality Handling for Analytic Tableaux

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Abstract

We present a variant of the basic ordered superposition rules to handle equality in an analytic free-variable tableau calculus. We prove completeness of this calculus by an adaptation of the model generation technique commonly used for completeness proofs of superposition in the context of resolution calculi. The calculi and the completeness proof are compared to earlier results of Degtyarev and Voronkov. Some variations and refinements are discussed.

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  1. Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Altenbergerstr. 69, A-4040, Linz, Austria

    Martin Giese

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Giese, M. Superposition-based Equality Handling for Analytic Tableaux. J Autom Reasoning 38, 127–153 (2007). https://doi.org/10.1007/s10817-006-9050-1

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