• Issue Information
    روزنامه با شماره پیاپی سال 1995
  • Pages
    45
  • From page
    1
  • To page
    45
  • Abstract
    We define a class of functions, the descent recursive functions, relative to an arbitrary elementary recursive system of ordinal notations. By means of these functions, we provide a general technique for measuring the proof-theoretic strength of a variety of systems of first-order arithmetic. We characterize the provable well-orderings and provably recursive functions of these systems, and derive various conservation and equiconsistency results.
  • Journal title
    Annals of Pure and Applied Logic
  • Serial Year
    1995
  • Journal title
    Annals of Pure and Applied Logic
  • Record number

    889979