Learning closed horn expressions

  • Authors:
  • Marta Arias;Roni Khardon

  • Affiliations:
  • Electrical Engineering and Computer Science, Tufts University, 161 College Avenue, Medford, Massachusetts;Electrical Engineering and Computer Science, Tufts University, 161 College Avenue, Medford, Massachusetts

  • Venue:
  • Information and Computation
  • Year:
  • 2002

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Abstract

The paper studies the learnability of Horn expressions within the framework of learning from entailment , where the goal is to exactly identify some pre-fixed and unknown expression by making queries to membership and equivalence oracles. It is shown that a class that includes both range restricted Horn expressions (where terms in the conclusion also appear in the condition of a Horn clause) and constrained Horn expressions (where terms in the condition also appear in the conclusion of a Horn clause) is learnable. This extends previous results by showing that a larger class is learnable with better complexity bounds. A further improvement in the number of queries is obtained when considering the class of Horn expressions with inequalities on all syntactically distinct terms.