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Proceedings of the American Mathematical Society

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

 

 

Degrees of nonrecursive presentability


Author: Lawrence Feiner
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
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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."


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1973-0327494-8
Keywords: Recursive function, arithmetic hierachy, degree of unsolvability, theory, structure
Article copyright: © Copyright 1973 American Mathematical Society