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Representation theorems for transfinite computability and definability

✍ Scribed by Dag Normann


Book ID
105842680
Publisher
Springer
Year
2002
Tongue
English
Weight
152 KB
Volume
41
Category
Article
ISSN
0933-5846

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✍ A. M. Turing πŸ“‚ Article πŸ“… 1937 πŸ› Association for Symbolic Logic 🌐 English βš– 941 KB
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## MSC (2010) 03D99 Hay and, then, Johnson extended the classic Rice and Rice-Shapiro Theorems for computably enumerable sets, to analogs for all the higher levels in the finite Ershov Hierarchy. The present paper extends their work (with some motivations presented) to analogs in the transfinite E

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## Abstract In this paper we prove that any quantale Q is (isomorphic to) a quantale of suitable relations on Q. As a consequence two isomorphism theorems are also shown with suitable sets of functions of Q into Q. These theorems are the mathematical background one needs in order to give natural an