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Abductive logics in a belief revision framework

Author

Listed:
  • Bernard Walliser

    (CERAS - Centre d'enseignement et de recherche en analyse socio-économique - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique)

  • Denis Zwirn

    (CREA - Centre de recherche en épistémologie appliquée - X - École polytechnique - IP Paris - Institut Polytechnique de Paris - CNRS - Centre National de la Recherche Scientifique)

  • Hervé Zwirn

    (CMLA - Centre de Mathématiques et de Leurs Applications - ENS Cachan - École normale supérieure - Cachan - CNRS - Centre National de la Recherche Scientifique, IHPST - Institut d'Histoire et de Philosophie des Sciences et des Techniques - UP1 - Université Paris 1 Panthéon-Sorbonne - DEC - Département d'Etudes Cognitives - ENS Paris - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - CNRS - Centre National de la Recherche Scientifique)

Abstract

Abduction was first introduced in the epistemological context of scientific discovery. It was more recently analyzed in artificial intelligence, especially with respect to diagnosis analysis or ordinary reasoning. These two fields share a common view of abduction as a general process of hypotheses formation. More precisely, abduction is conceived as a kind of reverse explanation where a hypothesis H can be abduced from events E if H is a "good explanation" of E. The paper surveys four known schemes for abduction that can be used in both fields. Its first contribution is a taxonomy of these schemes according to a common semantic framework based on belief revision. Its second contribution is to produce, for each non-trivial scheme, a representation theorem linking its semantic framework to a set of postulates. Its third contribution is to present semantic and axiomatic arguments in favor of one of these schemes, "ordered abduction," which has never been vindicated in the literature.

Suggested Citation

  • Bernard Walliser & Denis Zwirn & Hervé Zwirn, 2005. "Abductive logics in a belief revision framework," Post-Print halshs-00754617, HAL.
    • Handle: RePEc:hal:journl:halshs-00754617
    DOI: 10.1007/s10849-005-2319-7
    as

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