Geodesic
Recursiveness and $R^c$-operations
Izvestiya. Mathematics , Tome 8 (1974) no. 6, pp. 1209-1224

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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. 
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     author = {V. I. Amstislavskii},
     title = {Recursiveness and $R^c$-operations},
     journal = {Izvestiya. Mathematics },
     pages = {1209--1224},
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     volume = {8},
     number = {6},
     year = {1974},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1974_8_6_a3/}
}
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V. I. Amstislavskii. Recursiveness and $R^c$-operations. Izvestiya. Mathematics , Tome 8 (1974) no. 6, pp. 1209-1224. http://geodesic.mathdoc.fr/item/IM2_1974_8_6_a3/