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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2012, Volume 154, Book 2, Pages 152–158 (Mi uzku1127)  
Relative enumerability and the $d$-c. e. degrees

M. M. Arslanov

Department of Algebra and Mathematical Logic, Kazan Federal University, Kazan, Russia
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Abstract: We study the relationship between the relative enumerability and the $d$-c. e. degrees. We prove that the degree of the halting problem is splittable into two c. e. degrees such that the upper cone of each of them contains only $d$-c. e. degrees which are c. e. in another one.
Keywords: Turing degrees, computably enumerable degrees, relative computable enumerability, splitting, definability.
Received: 15.12.2010
Document Type: Article
UDC: 510.532
Language: English
Citation: M. M. Arslanov, “Relative enumerability and the $d$-c. e. degrees”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154, no. 2, Kazan University, Kazan, 2012, 152–158
Citation in format AMSBIB
\Bibitem{Ars12}
\by M.~M.~Arslanov
\paper Relative enumerability and the $d$-c.~e.~degrees
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2012
\vol 154
\issue 2
\pages 152--158
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1127}
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