Skip to main content
Article thumbnail
Location of Repository

Choice in applicative theories

By G.R. Renardel de Lavalette


TAPP is a total applicative theory, conservative over intuitionistic arithmetic. In\ud this paper, we first show that the same holds for TAPP + the choice principle\ud EAC; then we generalize this to TAPP + inductive definitions. Finally, we use\ud TAPP to show that P.Martin-Löfs basic extensional theory MLp is conservative\ud over intuitionistic arithmetic

Topics: Wijsbegeerte, applicative theory, intuitionism, constructivism, metamathematics, Heyting's arithmetic, realizability, Skolem functions, forcing, inductive definitions, theory of types, extensional types, extensional realizability
Year: 1989
OAI identifier:
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • (external link)
  • Suggested articles

    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.