The complexity of closed world reasoning and circumscription

  • Authors:
  • Marco Cadoli;Maurizio Lenzerini

  • Affiliations:
  • Dipartimento di Informatica e Sistemistica, Università di Roma "La Sapienza", Roma, Italia;Dipartimento di Informatica e Sistemistica, Università di Roma "La Sapienza", Roma, Italia

  • Venue:
  • AAAI'90 Proceedings of the eighth National conference on Artificial intelligence - Volume 1
  • Year:
  • 1990

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Abstract

Closed world reasoning is a common nonmonotonic technique that allows for dealing with negative information in knowledge and data bases. We present a detailed analysis of the computational complexity of the different forms of closed world reasoning for various fragments of propositional logic. The analysis allows us to draw a complete picture of the tractability/ intractability frontier for such a form of nonmonotonic reasoning. We also discuss how to use our results in order to characterize the computational complexity of other problems related to nonmonotonic inheritance, diagnosis, and default reasoning.