• DocumentCode
    1683474
  • Title

    Are Cook and Karp ever the same?

  • Author

    Beigel, Richard ; Fortnow, Lance

  • Author_Institution
    Dept. of Comput. & Inf. Sci., Temple Univ., Philadelphia, PA, USA
  • fYear
    2003
  • Firstpage
    333
  • Lastpage
    336
  • Abstract
    We consider the question whether there exists a set A such that every set polynomial-time Turing equivalent to A is also many-one equivalent to A. We show that if E=NE then no sparse set has this property. We give the first relativized world where there exists a set with this property, and in this world the set A is sparse.
  • Keywords
    Turing machines; computational complexity; set theory; NP-completeness; many-one equivalent set; polynomial-time Turing equivalent; sparse set; Computational complexity; Laboratories; National electric code; Polynomials; Turing machines;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computational Complexity, 2003. Proceedings. 18th IEEE Annual Conference on
  • ISSN
    1093-0159
  • Print_ISBN
    0-7695-1879-6
  • Type

    conf

  • DOI
    10.1109/CCC.2003.1214431
  • Filename
    1214431