Separation of NP-Completeness Notions

  • Authors:
  • A. Pavan;Alan L. Selman

  • Affiliations:
  • -;-

  • Venue:
  • SIAM Journal on Computing
  • Year:
  • 2002

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Abstract

We use hypotheses of structural complexity theory to separate various NP-completeness notions. In particular, we introduce an hypothesis from which we describe a set in NP that is $\mbox{${\leq}^{\rm P}_{\rm T}$}$-complete but not $\mbox{${\leq}^{\rm P}_{tt}$}$-complete. We provide fairly thorough analyses of the hypotheses that we introduce.