• Title of article

    Count(ifq) does not imply Count(ifp) Original Research Article

  • Author/Authors

    S?ren Riis، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 1997
  • Pages
    56
  • From page
    1
  • To page
    56
  • Abstract
    It is shown that the elementary principles Count(ifq) and Count(ifp) are logically independent in the system IΔ0(α) of Bounded Arithmetic. More specifically it is shown that Count(ifq) implies Count(ifp) exactly when each prime factor in p is a factor in q.
  • Keywords
    Bounded arithmetic , Independence , Forcing , Complexity
  • Journal title
    Annals of Pure and Applied Logic
  • Serial Year
    1997
  • Journal title
    Annals of Pure and Applied Logic
  • Record number

    890173