Belief Change in Branching Time: AGM-consistency and Iterated Revision [Book Review]

Journal of Philosophical Logic 41 (1):201-236 (2012)
We study belief change in the branching-time structures introduced in Bonanno (Artif Intell 171:144–160, 2007 ). First, we identify a property of branching-time frames that is equivalent (when the set of states is finite) to AGM-consistency, which is defined as follows. A frame is AGM-consistent if the partial belief revision function associated with an arbitrary state-instant pair and an arbitrary model based on that frame can be extended to a full belief revision function that satisfies the AGM postulates. Second, we provide a set of modal axioms that characterize the class of AGM-consistent frames within the modal logic introduced in Bonanno (Artif Intell 171:144–160, 2007 ). Third, we introduce a generalization of AGM belief revision functions that allows a clear statement of principles of iterated belief revision and discuss iterated revision both semantically and syntactically
Keywords Branching time  Belief revision  Information  Iterated belief revision  Plausibility ordering
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DOI 10.1007/s10992-011-9202-6
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References found in this work BETA
Jaakko Hintikka (1962). Knowledge and Belief. Ithaca, N.Y.,Cornell University Press.
Johan van Benthem (2007). Dynamic Logic for Belief Revision. Journal of Applied Non-Classical Logics 17 (2):129-155.

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