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A family of three-valued autoepistemic logics

  • Piero A. Bonatti
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 549)

Abstract

A unifying semantic framework for 2 and 3-valued autoepistemic logics is introduced. For instance, the logics introduced in [8] and [2] belong to this framework. All the logics that derive from the framework enjoy the usual stability properties of autoepistemic logics.

A new logic (called κ2-logic) is derived from the schema. It is shown that κ2-logic solves a number of problems affecting existing logics. Finally, it will be shown that a very large class of theories has a least stable expansion in κ2-logic. We show how the least stable expansion can be obtained through a fixpoint construction.

Keywords

Nonmonotonic Reasoning Autoepistemic Logics Logic Programming 

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References

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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • Piero A. Bonatti
    • 1
  1. 1.Dipartimento di InformaticaUniversita' di PisaPisaItaly

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