Completeness of the negation as failure rule

  • Authors:
  • Joxan Jaffar;Jean-Louis Lassez;John Lloyd

  • Affiliations:
  • Dept. of Computer Science, Monash University, Clayton, Victoria;-;Dept. of Computer Science, University of Melbourne, Parkville, Victoria

  • Venue:
  • IJCAI'83 Proceedings of the Eighth international joint conference on Artificial intelligence - Volume 1
  • Year:
  • 1983

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Abstract

Let P be a Horn clause logic program and comp(p) be its completion in the sense of Clark. Clark gave a justification for the negation as failure rule by showing that if a ground atom A is in the finite failure set of P, then ∼A is a logical consequence of comp(P), that is, the negation as failure rule is sound. We prove here that the converse also holds, that is, the negation as failure rule is complete.