Nonmonotonic theories and their axiomatic varieties

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.
Keywords nonmonotonic inference system  nonmonotonic theory  axiomatic variety
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DOI 10.1007/BF01049473
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Z. Stachniak (1988). Two Theorems on Many-Valued Logics. Journal of Philosophical Logic 17 (2):171 - 179.

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