Abstract
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.KeywordsBoolean AlgebraRelation AlgebraKripke ModelStone SpaceDynamic SpaceThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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