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Connection Tableaux with Lazy Paramodulation

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Abstract

It is well known that the connection refinement of clause tableaux with paramodulation is incomplete (even with weak connections). In this paper, we present a new connection tableau calculus for logic with equality. This calculus is based on a lazy form of paramodulation where parts of the unification step become auxiliary subgoals in a tableau and may be subjected to subsequent paramodulations. Our calculus uses ordering constraints and a certain form of the basicness restriction.

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  1. Laboratoire d’Algorithmique, Complexité et Logique, Université Paris 12, 94010, Créteil Cedex, France

    Andrei Paskevich

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  1. Andrei Paskevich
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Correspondence to Andrei Paskevich.

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Paskevich, A. Connection Tableaux with Lazy Paramodulation. J Autom Reasoning 40, 179–194 (2008). https://doi.org/10.1007/s10817-007-9089-7

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  • DOI: https://doi.org/10.1007/s10817-007-9089-7

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