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Tableaus for many-valued modal logic

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Abstract

We continue a series of papers on a family of many-valued modal logics, a family whose Kripke semantics involves many-valued accessibility relations. Earlier papers in the series presented a motivation in terms of a multiple-expert semantics. They also proved completeness of sequent calculus formulations for the logics, formulations using a cut rule in an essential way. In this paper a novel cut-free tableau formulation is presented, and its completeness is proved.

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Research partly supported by NSF Grant CCR-9104015.

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Fitting, M. Tableaus for many-valued modal logic. Stud Logica 55, 63–87 (1995). https://doi.org/10.1007/BF01053032

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