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Axiomatic recursion theory and the continuous functionals

Published online by Cambridge University Press:  12 March 2014

Simon Thompson
Simon Thompson*
Affiliation:
Computing Laboratory, University of Kent at Canterbury, Canterbury CT2 7NF, England
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Abstract

We define, in the spirit of Fenstad [2], a higher type computation theory, and show that countable recursion over the continuous functionals forms such a theory. We also discuss Hyland's proposal from [4] for a scheme with which to supplement S1–S9, and show that this augmented set of schemes fails to generate countable recursion. We make another proposal to which the methods of this section do not apply.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 50 , Issue 2 , June 1985 , pp. 442 - 450
Copyright
Copyright © Association for Symbolic Logic 1985

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References

REFERENCE

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