Strong reductions and isomorphism of complete sets

  • Authors:
  • Ryan C. Harkins;John M. Hitchcock;A. Pavan

  • Affiliations:
  • Department of Computer Science, University of Wyoming;Department of Computer Science, University of Wyoming;Department of Computer Science, Iowa State University

  • Venue:
  • FSTTCS'07 Proceedings of the 27th international conference on Foundations of software technology and theoretical computer science
  • Year:
  • 2007

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Abstract

We study the structure of the polynomial-time complete sets for NP and PSPACE under strong nondeterministic polynomial-time reductions (SNP-reductions). We show the following results. -- If NP contains a p-random language, then all polynomial-time complete sets for PSPACE are SNP-isomorphic. -- If NP ∩ co-NP contains a p-random language, then all polynomial-time complete sets for NP are SNP-isomorphic.