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leanK 2.0

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Automated Reasoning with Analytic Tableaux and Related Methods (TABLEAUX 1998)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1397))

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Abstract

leanK 2.0 implements an extension of the “Free Variable Tableaux for Propositional Modal Logics” reported by us in [1]. It performs depth first search and is based upon the original leanTAP prover of Beckert and Posegga [2]. Formulae annotated with labels containing variables capture the universal and existential nature of the box and diamond modalities, respectively, with different variable bindings closing different branches. Prolog’s built-in clause indexing scheme, unification facilities and built-in backtracking are used extensively.

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References

  1. Bernhard Beckert and Rajeev Goré. Free Variable Tableaux for Propositional Modal Logics. In Proceedings, International Conference on Theorem Proving with Analytic Tableaux and Related Methods, Pont-a-Mousson, France, pages 91–106. Springer, LNCS 1227, 1997.

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  2. Bernhard Beckert and Joachim Posegga. leanTAP: Lean, Tableau-based Deduction. Journal of Automated Reasoning, Vol. 15, No. 3, pages 339–358, 1995.

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© 1998 Springer-Verlag Berlin Heidelberg

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Beckert, B., Goré, R. (1998). leanK 2.0. In: de Swart, H. (eds) Automated Reasoning with Analytic Tableaux and Related Methods. TABLEAUX 1998. Lecture Notes in Computer Science(), vol 1397. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-69778-0_7

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  • DOI: https://doi.org/10.1007/3-540-69778-0_7

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64406-4

  • Online ISBN: 978-3-540-69778-7

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