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- W2023360154 abstract "We provide a general method for generating cutfree and/or analytic hypersequent Gentzen-type calculi for a variety of normal modal logics. The method applies to all modal logics characterized by Kripke frames, transitive Kripke frames, or symmetric Kripke frames satisfying some properties, given by first-order formulas of a certain simple form. This includes the logics KT, KD, S4, S5, K4D, K4.2, K4.3, KBD, KBT, and other modal logics, for some of which no Gentzen calculi was presented before. Cut-admissibility (or analyticity in the case of symmetric Kripke frames) is proved semantically in a uniform way for all constructed calculi. The decidability of each modal logic in this class immediately follows." @default.
- W2023360154 created "2016-06-24" @default.
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- W2023360154 date "2013-06-01" @default.
- W2023360154 modified "2023-10-03" @default.
- W2023360154 title "From Frame Properties to Hypersequent Rules in Modal Logics" @default.
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- W2023360154 doi "https://doi.org/10.1109/lics.2013.47" @default.
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