Computability over the partial continuous functionals-Reference-Cited by-同舟云学术

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Computability over the partial continuous functionals

Published:2000-09 Issue:3 Volume:65 Page:1133-1142
ISSN:0022-4812
Container-title:Journal of Symbolic Logic
language:en
Short-container-title:J. symb. log.

Author:

Normann Dag

Abstract

AbstractWe show that to every recursive total continuous functional Φ there is a PCF-definable representative Ψ of Φ in the hierarchy of partial continuous functionals, where PCF is Plotkin's programming language for computable functionals. PCF-definable is equivalent to Kleene's S1–S9-computable over the partial continuous functionals.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference18 articles.

1. Computations in Higher Types

2. Recursive functionals and quantifiers of finite types I;Kleene;Transactions of the American Mathematical Society,1959

3. Tait W. W. , Continuity properties ofpartial recursive functionals offinite type, unpublished notes.

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