Learning k-term DNF formulas with an incomplete membership oracle

  • Authors:
  • Sally A. Goldman;H. David Mathias

  • Affiliations:
  • Department of Computer Science, Washington University, St. Louis, MO;Department of Computer Science, Washington University, St. Louis, MO

  • Venue:
  • COLT '92 Proceedings of the fifth annual workshop on Computational learning theory
  • Year:
  • 1992

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Abstract

We consider the problem of learning k-term DNF formulas using equivalence queries and incomplete membership queries as defined by Angluin and Slonim. We demonstrate that this model can be applied to non-monotone classes. Namely, we describe a polynomial-time algorithm that constructs a k-term DNF formula representationally equivalent to the target using incomplete membership queries and equivalence queries from the class of DNF formulas.