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On negation rationality

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Abstract

In this paper we study negation rationality, an important property for non-monotonic inference relations. We show that the preferential relations that satisfy negation rationality and admit an injective model are exactly the preferential relations that satisfy the property of disjunctive rationality. We also propose a semantic-type characterization for relations that satisfy negation rationality.

Original languageEnglish
Pages (from-to)263-269
Number of pages7
JournalJournal of Logic and Computation
Volume6
Issue number2
DOIs
StatePublished - Apr 1996

Keywords

  • Disjunctive rationality
  • Injective models
  • Negation rationality
  • Non-monotonic consequence relations
  • Non-monotonic reasoning

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