Abstract
In this paper we continue the investigation of monadic Heyting algebras which we started in [2]. Here we present the representation theorem for monadic Heyting algebras and develop the duality theory for them. As a result we obtain an adequate topological semantics for intuitionistic modal logics over MIPC along with a Kripke-type semantics for them. It is also shown the importance and the effectiveness of the duality theory for further investigation of monadic Heyting algebras and logics over MIPC.
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Bezhanishvili, G. Varieties of Monadic Heyting Algebras Part II: Duality Theory. Studia Logica 62, 21–48 (1999). https://doi.org/10.1023/A:1005173628262
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DOI: https://doi.org/10.1023/A:1005173628262