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Simplifying and generalizing formulae in tableaux. Pruning the search space and building models

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Automated Reasoning with Analytic Tableaux and Related Methods (TABLEAUX 1997)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1227))

Abstract

A powerful extension of the tableau method is described. It consists in a new simplification rule allowing to prune the search space and a new way of extracting a model from a given (possibly infinite) branch. These features are combined with a former method for simultaneous search for refutations and models. The possibilities of the new method w.r.t. the original one are clearly stated. In particular it is shown that the method is able to build model for each formula having a model expressible by equational constraints.

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Didier Galmiche

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© 1997 Springer-Verlag Berlin Heidelberg

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Peltier, N. (1997). Simplifying and generalizing formulae in tableaux. Pruning the search space and building models. In: Galmiche, D. (eds) Automated Reasoning with Analytic Tableaux and Related Methods. TABLEAUX 1997. Lecture Notes in Computer Science, vol 1227. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0027423

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  • DOI: https://doi.org/10.1007/BFb0027423

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62920-7

  • Online ISBN: 978-3-540-69046-7

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