Exact learning of DNF formulas using DNF hypotheses

  • Authors:
  • Lisa Hellerstein;Vijay Raghavan

  • Affiliations:
  • Department of Computer and Information Science, Polytechnic University, Brooklyn NY 11201, USA;Electrical Engineering and Computer Science Department, Vanderbilt University, Nashville TN 37235, USA

  • Venue:
  • Journal of Computer and System Sciences - Special issue on COLT 2002
  • Year:
  • 2005

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Abstract

We show the following: (a) For any @e0, log^(^3^+^@e^)n-term DNF cannot be polynomial-query learned with membership and strongly proper equivalence queries. (b) For sufficiently large t, t-term DNF formulas cannot be polynomial-query learned with membership and equivalence queries that use t^1^+^@e-term DNF formulas as hypotheses, for some @e