A Characterisation of Definable NP Search Problems in Peano Arithmetic

  • Authors:
  • Arnold Beckmann

  • Affiliations:
  • Department of Computer Science, Swansea University, Swansea, UK SA2 8PP

  • Venue:
  • WoLLIC '09 Proceedings of the 16th International Workshop on Logic, Language, Information and Computation
  • Year:
  • 2009

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Abstract

The complexity class of ***-bounded local search problems with goals is introduced for well-orderings ***, and is used to give a characterisation of definable NP search problems in Peano Arithmetic.