An efficient algorithm for Horn description

  • Authors:
  • Jean-Jacques Hébrard;Bruno Zanuttini

  • Affiliations:
  • Département d'Informatique, Université de Caen, F-14032 Caen Cedex, France;Département d'Informatique, Université de Caen, F-14032 Caen Cedex, France

  • Venue:
  • Information Processing Letters
  • Year:
  • 2003

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Abstract

We give a new algorithm for computing a prepositional Horn CNF formula given the set of its models. Its running time is O(|R|n(|R| + n)), where |R| is the number of models and n that of variables, and the computed CNF contains at most |R|n clauses. This algorithm also uses the well-known closure property of Horn relations in a new manner.