Deduction in existential conjunctive first-order logic: an algorithm and experiments

  • Authors:
  • Khalil Ben Mohamed;Michel Leclère;Marie-Laure Mugnier

  • Affiliations:
  • LIRMM, CNRS, Université Montpellier 2, France;LIRMM, CNRS, Université Montpellier 2, France;LIRMM, CNRS, Université Montpellier 2, France

  • Venue:
  • AIMSA'10 Proceedings of the 14th international conference on Artificial intelligence: methodology, systems, and applications
  • Year:
  • 2010

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Abstract

We consider the deduction problem in the existential conjunctive fragment of first-order logic with atomic negation. This problem can be recast in terms of other database and artificial intelligence problems, namely query containment, clause entailment and boolean query answering. We refine an algorithm scheme that was proposed for query containment, which itself improves other known algorithms in databases. To study it experimentally, we build a random generator and analyze the influence of several parameters on the problem instance difficulty. Using this methodology, we experimentally compare several heuristics.