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AGM Contraction in Non-Classical Logics

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Book cover Belief Revision in Non-Classical Logics

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Abstract

Recovery is certainly the most controversial AGM postulate. Since the first publications in the area many works criticize several aspects of recovery. In order to avoid the undesirable consequences of recovery, Hansson proposes to exchange it by a postulate called relevance. However, in classical logics relevance and recovery are equivalent. In this chapter, we defend the use of relevance instead of recovery in non-classical logics for mainly three reasons: relevance deals more directly with minimality, it is compliant with a wider class of logics, and it better characterizes partial meet contraction.

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Notes

  1. 1.

    This theorem uses some lemmas presented in the following section.

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Ribeiro, M.M. (2013). AGM Contraction in Non-Classical Logics. In: Belief Revision in Non-Classical Logics. SpringerBriefs in Computer Science. Springer, London. https://doi.org/10.1007/978-1-4471-4186-0_5

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  • DOI: https://doi.org/10.1007/978-1-4471-4186-0_5

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-4185-3

  • Online ISBN: 978-1-4471-4186-0

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