Minimal generalized computable enumerations and high degrees


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Abstract

We establish that the set of minimal generalized computable enumerations of every infinite family computable with respect to a high oracle is effectively infinite. We find some sufficient condition for enumerations of the infinite families computable with respect to high oracles under which there exist minimal generalized computable enumerations that are irreducible to the enumerations.

About the authors

M. Kh. Faizrahmanov

Kazan (Volga Region) Federal University

Author for correspondence.
Email: marat.faizrahmanov@gmail.com
Russian Federation, Kazan


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