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Categorical and Kripke Semantics for Constructive S4 Modal Logicedited by: L. FribourgIn Proceedings 15th Int.\ Workshop on Computer Science Logic, CSL'01, Paris, France, 10--13 Sept.\ 2001, Vol. 2142 (2001), pp. 292-307.
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AbstractWe consider two systems of constructive modal logic which are computationally motivated. Their modalities admit several computational interpretations and are used to capture intensional features such as notions of computation, constraints, concurrency, etc. Both systems have so far been studied mainly from type-theoretic and category-theoretic perspectives, but Kripke models for similar systems were studied independently. Here we bring these threads together and prove duality results...
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