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Journal of Logic, Language and Information

, Volume 12, Issue 4, pp 381–408 | Cite as

Probabilistic Dynamic Epistemic Logic

  • Barteld P. Kooi
Article

Abstract

In this paper I combine the dynamic epistemic logic ofGerbrandy (1999) with the probabilistic logic of Fagin and Halpern (1994). The resultis a new probabilistic dynamic epistemic logic, a logic for reasoning aboutprobability, information, and information change that takes higher orderinformation into account. Probabilistic epistemic models are defined, and away to build them for applications is given. Semantics and a proof systemis presented and a number of examples are discussed, including the MontyHall Dilemma.

dynamic logic epistemic logic higher order information probability updates 

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Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • Barteld P. Kooi
    • 1
  1. 1.Department of Computing ScienceUniversity of GroningenGroningenThe Netherlands

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