Complexity of the higher order matching

  • Authors:
  • Tomasz Wierzbicki

  • Affiliations:
  • -

  • Venue:
  • CADE-16 Proceedings of the 16th International Conference on Automated Deduction: Automated Deduction
  • Year:
  • 1999

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Abstract

We use the standard encoding of Boolean values in simply typed lambda calculus to develop a method of translating SAT problems for various logics into higher order matching. We obtain this way already known NP-hardness bounds for the order two and three and a new result that the fourth order matching is NEXPTIME-hard.