Operational Concepts of Nonmonotonic Logics Part 2: Autoepistemic Logic

  • Authors:
  • Grigoris Antoniou;Volker Sperschneider

  • Affiliations:
  • School of Computing and Information Technology, Griffith University, QLD 4111, Australia Email: ga@cit.gu.edu.au;Department of Mathematics and Computer Science, University of Osnabrück, 49069 Osnabrück, GermanyEmail: sper@informatik.uni-osnabrueck.de

  • Venue:
  • Artificial Intelligence Review
  • Year:
  • 1998

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Abstract

The subject of nonmonotonic reasoning is reasoning with incompleteinformation. One of the main approaches is autoepistemic logic inwhich reasoning is based on introspection. This paper aims at providing a smooth introduction to this logic,stressing its motivation and basic concepts. The meaning (semantics)of autoepistemic logic is given in terms of so-called expansionswhich are usually defined as solutions of a fixed-point equation. Thepresent paper shows a more understandable, operational method fordetermining expansions. By improving applicability of the basicconcepts to concrete examples, we hope to make a contribution to awider usage of autoepistemic logic in practical applications.