On the Duality of Dynamic Algebras and Kripke Models

We introduce a natural topology on Kripke models of propositional dynamic logic (PDL) and exhibit a useful duality between certain topological Kripke models and separable dynamic algebras analogous to the duality between Boolean algebras and their Stone spaces. We prove several results which clarify the role of the * operator of PDL and characterize the discrepancy between the standard and nonstandard models in terms of well-understood topological concepts.

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