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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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.
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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