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Autoepistemic expansions with incomplete belief introspection

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Nonmonotonic and Inductive Logic (NIL 1990)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 543))

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Abstract

The original definition of autoepistemic expansions requires an agent to know of every proposition, whether it is or is not in his belief set. This restriction to complete belief introspection appears to be too strict for knowledge base applications, as it implies that a whole knowledge base is invalidated as soon as it is partially implausible. The proposal presented in this paper is a constructive approach based on incomplete belief introspection. It is defined by a monotone operator and the following can be shown to hold: Complete fixpoints correspond exactly to autoepistemic expansions. Complete least fixpoints are moderately grounded and for logic programs the least fixpoint coincides with the well-founded semantics.

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J. Dix K. P. Jantke P. H. Schmitt

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© 1991 Springer-Verlag Berlin Heidelberg

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Kalinski, J. (1991). Autoepistemic expansions with incomplete belief introspection. In: Dix, J., Jantke, K.P., Schmitt, P.H. (eds) Nonmonotonic and Inductive Logic. NIL 1990. Lecture Notes in Computer Science, vol 543. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0023326

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  • DOI: https://doi.org/10.1007/BFb0023326

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54564-4

  • Online ISBN: 978-3-540-38469-4

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