Journal of Symbolic Logic 49 (4):1190-1197 (1984)

Abstract
It will be shown that in the lattice of recursively enumerable sets one can define elementarily with parameters a structure isomorphic to (∑ 0 4 , ∑ 0 3 ), i.e. isomorphic to the lattice of ∑ 0 4 sets together with a unary predicate selecting out exactly the ∑ 0 3 sets
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DOI 10.2307/2274271
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Theory of Recursive Functions and Effective Computability.Hartley Rogers - 1971 - Journal of Symbolic Logic 36 (1):141-146.
Major Subsets and Automorphisms of Recursively Enumerable Sets.Wolfgang Maass - 1985 - In Anil Nerode & Richard A. Shore (eds.), Recursion Theory. American Mathematical Society. pp. 21.

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