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  1. A Simple Modal Logic for Belief Revision.Giacomo Bonanno - 2005 - Synthese 147 (2):193-228.
    We propose a modal logic based on three operators, representing intial beliefs, information and revised beliefs. Three simple axioms are used to provide a sound and complete axiomatization of the qualitative part of Bayes’ rule. Some theorems of this logic are derived concerning the interaction between current beliefs and future beliefs. Information flows and iterated revision are also discussed.
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  • Knowing and Supposing in Games of Perfect Information.Horacio Arló-Costa & Cristina Bicchieri - 2007 - Studia Logica 86 (3):353 - 373.
    The paper provides a framework for representing belief-contravening hypotheses in games of perfect information. The resulting t-extended information structures are used to encode the notion that a player has the disposition to behave rationally at a node. We show that there are models where the condition of all players possessing this disposition at all nodes (under their control) is both a necessary and a sufficient for them to play the backward induction solution in centipede games. To obtain this result, we (...)
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  • Axiomatic Characterization of the AGM Theory of Belief Revision in a Temporal Logic.Giacomo Bonanno - 2007 - Artificial Intelligence 171 (2-3):144-160.
    Since belief revision deals with the interaction of belief and information over time, branching-time temporal logic seems a natural setting for a theory of belief change. We propose two extensions of a modal logic that, besides the next-time temporal operator, contains a belief operator and an information operator. The first logic is shown to provide an axiomatic characterization of the first six postulates of the AGM theory of belief revision, while the second, stronger, logic provides an axiomatic characterization of the (...)
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  • Revising Predictions.Giacomo Bonanno - 2001 - In Johan van Benthem (ed.), Theoretical aspects of rationality and knowledge.
    Making a prediction is essentially expressing a belief about the future. It is therefore natural to interpret later predictions as revisions of earlier ones and to investigate the notion of belief revision in this context. We study, both semantically and syntactically, the following principle of minimum revision of prediction: “as long as there are no surprises, that is, as long as what actually occurs had been predicted to occur, then everything which was predicted in the past, if still possible, should (...)
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