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Non-monotonic reasoning and the reversibility of belief change

Published: 13 July 1991 Publication History
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  • Abstract

    Traditional approaches to nonmonotonic reasoning fail to satisfy a number of plausible axioms for belief revision and suffer from conceptual difficulties as well. Recent work on ranked preferential models (RPMs) promises to overcome some of these difficulties. Here we show that RPMs are not adequate to handle iterated belief change. Specifically, we show that RPMs do not always allow for the reversibility of belief change. This result indicates the need for numerical strengths of belief.

    References

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    Kraus, S., Lehmann, D., and Magidor, M., Nonmonotonic reasoning, preferential models and cumulative logics, Artificial Intelligence, 44(1-2). 167-207, 1990.
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    Lehmann, D., What does a conditional knowledge based entail? in Proceedings of the Conference on Principles of Reasoning and Knowledge Representation (R. Brachman and H. Levesque, Eds.), Morgan Kaufmann, 212-222, 1989.
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    Makinson, D., General theory of nonmonotonic reasoning, in Lecture Notes in Artificial Intelligence 346: Non-monotonic Reasoning, (M. Reinfrank, J. de Kleer, M. L. Ginsberg, and E. Sandewall, Eds.), Springer Verlag, Berlin, 1-18, 1989.
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    Pearl, J., Probabilistic Reasoning in Intelligent Systems, Morgan Kaufmann, San Mateo, 1988.
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    Spohn, W., Ordinal conditional functions: a dynamic theory of epistemic states, in Causation in Decision, Belief Change, and Statistics, II (W. L. Harper and B. Skyrms, Eds.), Kluwer, Dordrecht, The Netherlands, 105-134, 1988.

    Cited By

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    • (1994)On the relation between kappa calculus and probabilistic reasoningProceedings of the Tenth international conference on Uncertainty in artificial intelligence10.5555/2074394.2074414(145-153)Online publication date: 29-Jul-1994

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    Published In

    cover image Guide Proceedings
    UAI'91: Proceedings of the Seventh conference on Uncertainty in Artificial Intelligence
    July 1991
    444 pages
    ISBN:1558602038

    Publisher

    Morgan Kaufmann Publishers Inc.

    San Francisco, CA, United States

    Publication History

    Published: 13 July 1991

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    • (1994)On the relation between kappa calculus and probabilistic reasoningProceedings of the Tenth international conference on Uncertainty in artificial intelligence10.5555/2074394.2074414(145-153)Online publication date: 29-Jul-1994

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