• Title of article

    Proof theory for theories of ordinals II: Π3-reflection

  • Author/Authors

    Arai، نويسنده , , Toshiyasu، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2004
  • Pages
    54
  • From page
    39
  • To page
    92
  • Abstract
    This paper deals with a proof theory for a theory T3 of Π3-reflecting ordinals using the system O(Π3) of ordinal diagrams in Arai (J. Symbolic Logic 65 (2000) 1375). This is a sequel to the previous one (Ann. Pure Appl. Logic 122 (2003) 1) in which a theory for recursively Mahlo ordinals is analyzed proof-theoretically.
  • Keywords
    Reflecting ordinals , Proof-theoretic ordinals
  • Journal title
    Annals of Pure and Applied Logic
  • Serial Year
    2004
  • Journal title
    Annals of Pure and Applied Logic
  • Record number

    1443576