Splitting properties of n-c.E. Enumeration degrees

Journal of Symbolic Logic 67 (2):537-546 (2002)

Abstract
It is proved that if 1 $\langle \mathscr{D}_{2n}, \leq, P\rangle$ and $\langle \mathscr{D}_{2n}, \leq, P\rangle$ are not elementary equivalent where P is the predicate P(a) = "a is a Π 0 1 e-degree"
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DOI 10.2178/jsl/1190150096
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Density Results in the Δ20 E-Degrees.Marat M. Arslanov, Iskander Sh Kalimullin & Andrea Sorbi - 2001 - Archive for Mathematical Logic 40 (8):597-614.
Theory of Recursive Functions and Effective Computability.Hartley Rogers - 1971 - Journal of Symbolic Logic 36 (1):141-146.

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