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Choice in applicative theories

By G.R. Renardel de Lavalette

Abstract

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: oai:dspace.library.uu.nl:1874/26438
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