On the Problem of Definability of the Computably Enumerable Degrees in the Difference Hierarchy


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Abstract

Questions of definability of computably enumerable degrees in the difference hierarchy (degrees of sets from finite levels of the Ershov difference hierarchy) are studied. Several approaches to the solution of this problem are outlined.

About the authors

M. M. Arslanov

N.I. Lobachevskii Institute of Mathematics and Mechanics

Author for correspondence.
Email: marat.arslanov@kpfu.ru
Russian Federation, ul. Kremlevskaya 18, Kazan, 420008

M. M. Yamaleev

N.I. Lobachevskii Institute of Mathematics and Mechanics

Email: marat.arslanov@kpfu.ru
Russian Federation, ul. Kremlevskaya 18, Kazan, 420008


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