Refining Logic Theories under OI-Implication

  • Authors:
  • Floriana Esposito;Nicola Fanizzi;Stefano Ferilli;Giovanni Semeraro

  • Affiliations:
  • -;-;-;-

  • Venue:
  • ISMIS '00 Proceedings of the 12th International Symposium on Foundations of Intelligent Systems
  • Year:
  • 2000

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Abstract

We present a framework for theory refinement operators fulfilling properties that ensure the efficiency and effectiveness of the learning process. A refinement operator satisfying these requirements is defined ideal. Past results have demonstrated the impossibility of defining ideal operators in search spaces ordered by the logical implication or the θ-subsumption relationships. By assuming the object identity bias over a space defined by a clausal language ordered by logical implication, we obtain OI-implication, a novel ordering relationship, and show that ideal operators can be defined for the resulting search space.