• DocumentCode
    478028
  • Title

    Generalization of Complexity Oscillations in Infinite Sequences

  • Author

    Liu, ChenGuang ; Yamazaki, Takeshi ; Tanaka, Kazuyuki

  • Author_Institution
    Grad. Sch. of Manage. Sci., Xi´´an Univ. of Technol., Xi´´an
  • Volume
    1
  • fYear
    2008
  • fDate
    18-20 Oct. 2008
  • Firstpage
    299
  • Lastpage
    303
  • Abstract
    The C-oscillation due to Martin-Lof shows that {alpha|foralln[C(alpha|n)gesn-O(1)]}=Oslash, which also follows {alpha|foralln[K(alpha|n)gesn +K(n)-O(1)]}=Oslash. By generalizing them, we show that there does not exist a real alpha such that foralln(K(alpha|n)gesn+lambdaK(n)-O(1)) for any lambda>0.
  • Keywords
    binary sequences; computational complexity; oscillations; C-oscillation; complexity oscillations; generalization; infinite sequences; Binary sequences; Conference management; Technology management; Turing machines; Algorithmic randomness; Complexity oscillations; Kolmogorov complexity;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Natural Computation, 2008. ICNC '08. Fourth International Conference on
  • Conference_Location
    Jinan
  • Print_ISBN
    978-0-7695-3304-9
  • Type

    conf

  • DOI
    10.1109/ICNC.2008.915
  • Filename
    4666858