Authors
Barteld Kooi
University of Groningen
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.
Keywords dynamic logic  epistemic logic  higher order information  probability  updates
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Reprint years 2004
DOI 10.1023/A:1025050800836
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References found in this work BETA

Naming and Necessity.S. Kripke - 1972 - Tijdschrift Voor Filosofie 45 (4):665-666.
Naming and Necessity.Saul A. Kripke - 1980 - Philosophy 56 (217):431-433.
Defaults in Update Semantics.Frank Veltman - 1996 - Journal of Philosophical Logic 25 (3):221 - 261.

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Evidentiality, Modality and Probability.Eric McCready & Norry Ogata - 2007 - Linguistics and Philosophy 30 (2):147 - 206.

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