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Path calculus in the modal logic S4

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Abstract

We describe the tableau and inverse calculi for the propositional modal logic S4. The formulas are treated as sets of paths. We obtain the upper bound for the number of applications of rules in the deduction tree.

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Authors and Affiliations

  1. Vilnius University, Naugarduko 24, LT-03225, Vilnius, Lithuania

    S. Norgėla

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  1. S. Norgėla
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Translated from Lietuvos Matematikos Rinkinys, Vol. 45, No. 1, pp. 117–126, January–March, 2005.

Translated by R. Lapinskas

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Norgėla, S. Path calculus in the modal logic S4. Lith Math J 45, 94–101 (2005). https://doi.org/10.1007/s10986-005-0010-y

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  • DOI: https://doi.org/10.1007/s10986-005-0010-y

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