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Well-founded approximations of autoepistemic logic

  • Jürgen Kalinski
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 727)

Abstract

Autoepistemic Logic is used as a unifying principle for the introduction of stable states for disjunctive logic programs and programs with strong negation. But as stable states are a generalization of stable models, their computational complexity prevents them from being implemented in knowledge representation systems. It is therefore shown that the well-founded semantics for normal programs can be viewed as an approximate superset of all stable models. The same idea can also be applied to the other program classes, thus yielding efficient and semantically characterizable approximations of stable states. In each case the immediate consequence operator for the corresponding class of positive programs is combined with the Gelfoncl-Lifschitz transformation and semi-operationalizations are derived from structural observations.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Jürgen Kalinski
    • 1
  1. 1.Institute of Computer Science IIIUniversity of BonnBonnGermany

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