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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Degrees of nonrecursive presentability
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by Lawrence Feiner PDF
Proc. Amer. Math. Soc. 38 (1973), 621-624 Request permission

Abstract:

We prove that every $0’$’-recursive binary relation of natural numbers is isomorphic to a recursive relation restricted to a co-r.e. subset of its domain. We use this result to define and discuss “degrees of nonrecursive presentability."
References
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  • Lawrence Feiner, Hierarchies of Boolean algebras, J. Symbolic Logic 35 (1970), 365–374. MR 282805, DOI 10.2307/2270692
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  • H. Putnam, Arithmetic models for consistent formulae of quantification theory, J. Symbolic Logic 22 (1957), 110-111.
  • Hartley Rogers Jr., Theory of recursive functions and effective computability, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1967. MR 0224462
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Additional Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 38 (1973), 621-624
  • MSC: Primary 02F30; Secondary 02F35
  • DOI: https://doi.org/10.1090/S0002-9939-1973-0327494-8
  • MathSciNet review: 0327494