Resolution is Not Automatizable Unless W[P] is Tractable

  • Authors:
  • M. Alekhnovich;A. Razborov

  • Affiliations:
  • -;-

  • Venue:
  • FOCS '01 Proceedings of the 42nd IEEE symposium on Foundations of Computer Science
  • Year:
  • 2001

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Abstract

We show that neither Resolution nor tree-like Resolution is automatizable unless the class W[P] from the hierarchy of parameterized problems is fixed-parameter tractable by randomized algorithms with one-sided error.