An invariance notion in recursion theory

Journal of Symbolic Logic 47 (1):48-66 (1982)
Abstract
A set of godel numbers is invariant if it is closed under automorphisms of (ω, ·), where ω is the set of all godel numbers of partial recursive functions and · is application (i.e., n · m ≃ φ n (m)). The invariant arithmetic sets are investigated, and the invariant recursively enumerable sets and partial recursive functions are partially characterized
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DOI 10.2307/2273381
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