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Literature Cited
S. A. Berezin, “On the generation of binary primitive recursive functions,” in: Mathematical Research [in Russian], Vol. 7, No. 2, Kishinev (1972).
N. Bourbaki, Elements de Mathematiques: Topologie Generale, Chap. 1, structures Topologiques, Hermann, Paris (1971).
D. A. Zakharov, Recursive Functions [in Russian], Izd. Novosibirsk. Gos. Univ. (1970).
Yu. L. Ershov, “Positive equivalences,” Algebra i Logika,10, No. 6 (1971).
V. V. Koz'minykh, “On unate primitive recursive functions,” in: Algebra and Logic [in Russian], Vol. 7, No. 1, Novosibirsk (1968).
V. V. Koz'minykh, “On subalgebras of Robinson's algebra,” in: Algebra and Logic [in Russian], Vol. 9, No. 6, Novosibirsk (1970).
A. I. Mal'tsev, Algorithms and Recursive Functions [in Russian], Nauka, Moscow (1965).
M. D. Gladstone, “A reduction of recursion scheme,” J. Symbolic Logic,32, No. 4 (1967).
M. D. Gladstone, “Simplification of the recursion scheme,” J. Symbolic Logic,36, No. 4 (1971).
R. M. Robinson, “Primitive recursive functions,” Bull. Amer. Math. Soc., 53 (1947).
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Translated from Kibernetika, No. 3, pp. 12–19, May–June, 1976.
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Berezin, S.A. An algebra of unate primitive recursive functions with iteration operation of general form. Cybern Syst Anal 12, 346–353 (1976). https://doi.org/10.1007/BF01070012
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DOI: https://doi.org/10.1007/BF01070012