On the duality of dynamic algebras and kripke models

  • Dexter Kozen
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 125)


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.


Boolean Algebra Relation Algebra Kripke Model Stone Space Dynamic Space 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1981

Authors and Affiliations

  • Dexter Kozen
    • 1
  1. 1.IBM Thomas J. Watson Research CenterYorktown Heights

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