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Acceptance, Conditionals, and Belief Revision

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3301))

Abstract

This paper bridges the gap between comparative belief structures, such as those induced by probability measures, and logical representations of accepted beliefs. We add, to natural properties of comparative belief relations, some conditions that ensure that accepted beliefs form a deductively closed set. It is shown that the beliefs accepted by an agent in all contexts can always be described by a family of conditionals. These results are closely connected to the nonmonotonic ’preferential’ inference system of Kraus, Lehmann and Magidor and the works of Friedman and Halpern on their so-called plausibility functions. Acceptance relations are also another way of approaching the theory of belief change after the works of Gärdenfors and colleagues.

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Dubois, D., Fargier, H., Prade, H. (2005). Acceptance, Conditionals, and Belief Revision. In: Kern-Isberner, G., Rödder, W., Kulmann, F. (eds) Conditionals, Information, and Inference. WCII 2002. Lecture Notes in Computer Science(), vol 3301. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11408017_3

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  • DOI: https://doi.org/10.1007/11408017_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25332-7

  • Online ISBN: 978-3-540-32235-1

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