Journal of Logic, Language and Information

, Volume 4, Issue 4, pp 317–334 | Cite as

Nonmonotonic theories and their axiomatic varieties

  • Zbigniew Stachniak
Article

Abstract

The properties of monotonic inference systems and the properties of their theories are strongly linked. These links, however, are much weaker in nonmonotonic inference systems. In this paper we introduce the notion of anaxiomatic variety for a theory and show how this notion, instead of the notion of a theory, can be used for the syntactic and semantic analysis of nonmonotonic inferences.

Key words

nonmonotonic inference system nonmonotonic theory axiomatic variety 

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Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • Zbigniew Stachniak
    • 1
  1. 1.Department of Computer ScienceYork UniversityNorth YorkCanada

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