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Zapiski Nauchnykh Seminarov LOMI, 1974, Volume 40, Pages 127–130 (Mi znsl2688)  

Some simple syntactical definition of all classes of Grzegorczyk hierarchy

S. V. Pakhomov
Abstract: Let $\widetilde E^n$ be the least class of primitive recursive functions which contains initial functions of $E^n$ [1] and is closed under substitution and special recursion (see def. 5). Then $\widetilde E^n=E^n$.
Bibliographic databases:
UDC: 51.01:518.5
Language: Russian
Citation: S. V. Pakhomov, “Some simple syntactical definition of all classes of Grzegorczyk hierarchy”, Studies in constructive mathematics and mathematical logic. Part VI, Zap. Nauchn. Sem. LOMI, 40, "Nauka", Leningrad. Otdel., Leningrad, 1974, 127–130
Citation in format AMSBIB
\Bibitem{Pak74}
\by S.~V.~Pakhomov
\paper Some simple syntactical definition of all classes of Grzegorczyk hierarchy
\inbook Studies in constructive mathematics and mathematical logic. Part~VI
\serial Zap. Nauchn. Sem. LOMI
\yr 1974
\vol 40
\pages 127--130
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl2688}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=363838}
\zmath{https://zbmath.org/?q=an:0354.02031}
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  • https://www.mathnet.ru/eng/znsl/v40/p127
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