Six Hypotheses in Search of a Theorem

  • Authors:
  • Harry Buhrman;Lance Fortnow;Leen Torenvliet

  • Affiliations:
  • -;-;-

  • Venue:
  • CCC '97 Proceedings of the 12th Annual IEEE Conference on Computational Complexity
  • Year:
  • 1997

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Abstract

We consider the following six hypotheses: - P = NP - SAT is truth-table reducible to a P-selective set - SAT is truth-table reducible to a k-approximable set for some k. - FP with parallel queries to SAT is equivalent to FP with O(log n) adaptive queries to SAT - SAT is O(log n)-approximable - Solving SAT is in P on formula with at most one assignment. We discuss the importance and relationships among them.