Modal Logic and the Vietoris Functor

Open Access
Authors
Publication date 2014
Host editors
  • G. Bezhanishvili
Book title Leo Esakia on Duality in Modal and Intuitionistic Logics
ISBN
  • 9789401788595
ISBN (electronic)
  • 9789401788601
Series Outstanding contributions to logic
Pages (from-to) 119-153
Publisher Dordrecht: Springer
Organisations
  • Interfacultary Research - Institute for Logic, Language and Computation (ILLC)
Abstract In [16], Esakia uses the Vietoris topology to give a coalgebra-flavored definition of topological Kripke frames, thus relating the Vietoris topology, modal logic and coalgebra. In this chapter, we sketch some of the thematically related mathematical developments that followed. Specifically, we look at Stone duality for the Vietoris hyperspace and the Vietoris powerlocale, and at recent work combining coalgebraic modal logic and the Vietoris functor.
Document type Chapter
Language English
Published at https://doi.org/10.1007/978-94-017-8860-1_6
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Modal logic and the Vietoris functor (Submitted manuscript)
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