| R. Gandy. Effective Operations and Recursive Functionals. Abstract. Journal of Symbolic Logic, volume 27. Association of Symbolic Logic, 1962. |
....sums. It is not so obvious that E preserves internal hom sets. We first show that E preserves external hom sets. That E is faithful is immediate from its definition; that E is full is an extension of the Kreisel Lacombe Shoenfield theorem [KLS59] The proof given here uses ideas from Gandy s proof [Gan62]. In [Ber93] a proof of a similar result is given for his total subsets of domains. The generality of the results appears to be very similar despite the differing abstractions in the presentation. The use of concrete presentations of the spaces involved seems to simplify our arguments (in ....
R. Gandy. Effective Operations and Recursive Functionals. Abstract. Journal of Symbolic Logic, volume 27. Association of Symbolic Logic, 1962.
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R. Gandy. Effective Operations and Recursive Functionals. Abstract. Journal of Symbolic Logic, volume 27. Association of Symbolic Logic, 1962.
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