The Complexity of Pure Literal Elimination

  • Authors:
  • Jan Johannsen

  • Affiliations:
  • Institut für Informatik, Ludwig-Maximilians-Universität München, München, Germany

  • Venue:
  • Journal of Automated Reasoning
  • Year:
  • 2005

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Abstract

The computational complexity of eliminating pure literals is calibrated for various classes of CNF formulas. The problem is shown to be P-complete in general, NL-complete for 2-CNF, and SL-complete for CNF formulas with at most two occurrences of each variable.