Efficient dualization of O(log n)-term monotone disjunctive normal forms

  • Authors:
  • Kazuhisa Makino

  • Affiliations:
  • Division of Systems Science, Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka 560, Japan

  • Venue:
  • Discrete Applied Mathematics
  • Year:
  • 2003

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Abstract

This paper shows that O(logn)-term monotone disjunctive normal forms (DNFs) φ can be dualized in incremental polynomial time, where n is the number of variables in φ. This improves upon the trivial result that k-term monotone DNFs can be dualized in polynomial time, where k is bounded by some constant.