Models for stronger normal intuitionistic modal logics

Studia Logica 44 (1):39 - 70 (1985)
Abstract
This paper, a sequel to Models for normal intuitionistic modal logics by M. Boi and the author, which dealt with intuitionistic analogues of the modal system K, deals similarly with intuitionistic analogues of systems stronger than K, and, in particular, analogues of S4 and S5. For these prepositional logics Kripke-style models with two accessibility relations, one intuitionistic and the other modal, are given, and soundness and completeness are proved with respect to these models. It is shown how the holding of formulae characteristic for particular logics is equivalent to conditions for the relations of the models. Modalities in these logics are also investigated.
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References found in this work BETA
J. L. Bell (1977). A Course in Mathematical Logic. Sole Distributors for the U.S.A. And Canada American Elsevier Pub. Co..
R. A. Bull (1965). A Modal Extension of Intuitionist Logic. Notre Dame Journal of Formal Logic 6 (2):142-146.

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Citations of this work BETA
David DeVidi & Graham Solomon (1997). In Intuitionistic Modal Logic. Australasian Journal of Philosophy 75 (2):201 – 213.
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