Effective Nonrecursiveness

Mathematical Logic Quarterly 43 (1):45-48 (1997)
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Abstract

Productive sets are sets which are “effectively non recursively enumerable”. In the same spirit, we introduce a notion of “effectively nonrecursive sets” and prove an effective version of Post's theorem. We also show that a set is recursively enumerable and effectively nonrecursive in our sense if and only if it is effectively nonrecursive in the sense of Odifreddi [1]

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References found in this work

Classical recursion theory: the theory of functions and sets of natural numbers.Piergiorgio Odifreddi - 1989 - New York, N.Y., USA: Sole distributors for the USA and Canada, Elsevier Science Pub. Co..
Classical Recursion Theory.Peter G. Hinman - 2001 - Bulletin of Symbolic Logic 7 (1):71-73.

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