I would like to know if there is a (known and maybe published) way to numbering, in a Gödel style, the functions belonging to every class in the Grzegorczyk Hierarchy and how could it be done.
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This might be related: Peter Hancock's web page on Skolem's problem – Dave L. Renfro Apr 26 '13 at 18:33
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To increase the integrity of this site, you should answer your own question. – Quinn Culver Apr 30 '13 at 22:48
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I've found it! It 's developed in:
Axt, P., Enumeration and the Grzegorczyk hierarchy, Z. math. Logik und Grundl. Math. 9 (1963) 53–65, MR0144811, Zbl 0112.24602, link
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