DNF hypotheses in explanatory induction

  • Authors:
  • Katsumi Inoue

  • Affiliations:
  • National Institute of Informatics, Chiyoda-ku, Tokyo, Japan

  • Venue:
  • ILP'11 Proceedings of the 21st international conference on Inductive Logic Programming
  • Year:
  • 2011

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Abstract

This paper investigates the problem of computing hypotheses in disjunctive normal form (DNF) for explanatory induction. This is contrasted to the usual setting of ILP, where hypotheses are obtained in conjunctive normal form (CNF), i.e., a set of clauses. We present two approaches to compute DNF hypotheses as well as several sound and complete algorithms. This problem naturally contains abduction from clausal theories, and can be related to model-based inductive reasoning, in which propositional reasoning methods such as SAT techniques and prime implicant computation can be utilized.