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Mathematics of the USSR-Izvestiya, 1974, Volume 8, Issue 6, Pages 1209–1224
DOI: https://doi.org/10.1070/IM1974v008n06ABEH002144
(Mi im2007)
 

Recursiveness and $R^c$-operations

V. I. Amstislavskii
References:
Abstract: Relations are established characterizing the connection between recursiveness with respect to consistent functionals and $R^c$-operations known in the theory of sets. It is pointed out that the graph of a functional that is partial recursive with respect to a given consistent functional $F$ can be obtained by a certain (appropriate to $F$) $R^c$-operation. Sets obtained by a given $R^c$-operation over general recursive sets are characterized as semirecursive with respect to a certain (appropriate to this $R^c$-operation) consistent functional.
Received: 22.05.1973
Bibliographic databases:
UDC: 51.01+518.5+519.5
MSC: 02F27, 02K30
Language: English
Original paper language: Russian
Citation: V. I. Amstislavskii, “Recursiveness and $R^c$-operations”, Math. USSR-Izv., 8:6 (1974), 1209–1224
Citation in format AMSBIB
\Bibitem{Ams74}
\by V.~I.~Amstislavskii
\paper Recursiveness and $R^c$-operations
\jour Math. USSR-Izv.
\yr 1974
\vol 8
\issue 6
\pages 1209--1224
\mathnet{http://mi.mathnet.ru//eng/im2007}
\crossref{https://doi.org/10.1070/IM1974v008n06ABEH002144}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=363900}
\zmath{https://zbmath.org/?q=an:0349.02033}
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    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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