Nested PLS

  • Authors:
  • Toshiyasu Arai

  • Affiliations:
  • Graduate School of Science, Chiba University, Chiba, Japan 263-8522

  • Venue:
  • Archive for Mathematical Logic
  • Year:
  • 2011

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Abstract

In this note we will introduce a class of search problems, called nested Polynomial Local Search (nPLS) problems, and show that definable NP search problems, i.e., $${\Sigma^{b}_{1}}$$ -definable functions in $${T^{2}_{2}}$$ are characterized in terms of the nested PLS.