A. P. Beltiukov, “An iterative description of the class <nobr>$\varepsilon^1$</nobr> of Grzegorczyk's hierarchy”, Zap. Nauchn. Sem. LOMI, 1976, Volume 60,Pages <nobr>3

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An iterative description of the class $\varepsilon^1$ of Grzegorczyk's hierarchy

A. P. Beltiukov

Abstract: A class of abstract computing machines is described. It is proved that the class of all functions computable by these machines coincides with the class $\varepsilon^1$ of Grzegorczyk's hierarchy.

UDC: 51.01:518.5