Dynamic Update with Probabilities

Studia Logica 93 (1):67-96 (2009)
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Abstract

Current dynamic-epistemic logics model different types of information change in multi-agent scenarios. We generalize these logics to a probabilistic setting, obtaining a calculus for multi-agent update with three natural slots: prior probability on states, occurrence probabilities in the relevant process taking place, and observation probabilities of events. To match this update mechanism, we present a complete dynamic logic of information change with a probabilistic character. The completeness proof follows a compositional methodology that applies to a much larger class of dynamic-probabilistic logics as well. Finally, we discuss how our basic update rule can be parameterized for different update policies, or learning methods.

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Author Profiles

Johan Van Benthem
University of Amsterdam
Barteld Kooi
University of Groningen

References found in this work

The Logic of Reliable Inquiry.Kevin T. Kelly - 1996 - Oxford, England: Oxford University Press USA. Edited by Kevin Kelly.
Logics of public communications.Jan Plaza - 2007 - Synthese 158 (2):165 - 179.
The Logic of Reliable Inquiry.Kevin Kelly - 1998 - British Journal for the Philosophy of Science 49 (2):351-354.
The Continuum of Inductive Methods.Rudolf Carnap - 1953 - Philosophy 28 (106):272-273.

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