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Decision procedure for autoepistemic logic

  • Conference paper
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9th International Conference on Automated Deduction (CADE 1988)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 310))

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Abstract

Autoepistemic logic is a nonmonotonic logic for modeling the beliefs of an ideally rational agent who reflects on his own beliefs. Autoepistemic logic has been lacking a decision procedure to answer the question: given a set of premises describing the beliefs of an agent does the agent believe a given formula (is the given formula derivable from the given set of premises). Two derivability relations are defined for propositional autoepistemic logic corresponding to the agent's own point of view and the point of view of an external observer of the beliefs of the agent. Decision procedures based on analytic tableaux are then given and proved correct for both of the relations.

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Authors and Affiliations

  1. Digital Systems Laboratory Department of Computer Science, Helsinki University of Technology, Otakaari 5 A, 02150, Espoo, Finland

    Ilkka Niemelä

Authors
  1. Ilkka Niemelä
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Ewing Lusk Ross Overbeek

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© 1988 Springer-Verlag Berlin Heidelberg

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Niemelä, I. (1988). Decision procedure for autoepistemic logic. In: Lusk, E., Overbeek, R. (eds) 9th International Conference on Automated Deduction. CADE 1988. Lecture Notes in Computer Science, vol 310. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0012865

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  • DOI: https://doi.org/10.1007/BFb0012865

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19343-2

  • Online ISBN: 978-3-540-39216-3

  • eBook Packages: Springer Book Archive

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