On the fixed-parameter tractability of the equivalence test of monotone normal forms

  • Authors:
  • Matthias Hagen

  • Affiliations:
  • Friedrich-Schiller-Universität Jena, Institut für Informatik, D-07737 Jena, Germany

  • Venue:
  • Information Processing Letters
  • Year:
  • 2007

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Abstract

We consider the problem Monet-given two monotone formulas @f in DNF and @j in CNF, decide whether they are equivalent. While Monet is probably not coNP-hard, it is a long standing open question whether it has a polynomial time algorithm and thus belongs to P. In this paper we examine the parameterized complexity of Monet. We show that Monet is in FPT by giving fixed-parameter algorithms for different parameters.