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Many-Valued Modal Logics

by: Melvin C Fitting
Fundamenta Informaticae, Vol. XV (1991), pp. 235-254.


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. Two families of many-valued modal logics are investigated. Semantically, one family is characterized using Kripke models that allow formulas to take values in a finite many-valued logic, at each possible world. The second family generalizes this to allow the accessibility relation between worlds also to be many-valued. Gentzen sequent calculi are given for both versions, and soundness and completeness are established. 1 Introduction The logics that have appeared in artificial intelligence...


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