Splittings of effectively speedable sets and effectively levelable sets

Journal of Symbolic Logic 69 (1):143-158 (2004)
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Abstract

We prove that a computably enumerable set A is effectively speedable (effectively levelable) if and only if there exists a splitting (A₀,A₁) of A such that both A₀ and A₁ are effectively speedable (effectively levelable). These results answer two questions raised by J. B. Remmel

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10.2178/jsl/1080938833

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References found in this work

Theory of Recursive Functions and Effective Computability.Hartley Rogers - 1971 - Journal of Symbolic Logic 36 (1):141-146.
Classical Recursion Theory.Peter G. Hinman - 2001 - Bulletin of Symbolic Logic 7 (1):71-73.
Reducibility and Completeness for Sets of Integers.Richard M. Friedberg & Hartley Rogers - 1959 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 5 (7-13):117-125.
Reducibility and Completeness for Sets of Integers.Richard M. Friedberg & Hartley Rogers - 1959 - Mathematical Logic Quarterly 5 (7‐13):117-125.
Splitting theorems in recursion theory.Rod Downey & Michael Stob - 1993 - Annals of Pure and Applied Logic 65 (1):1-106.

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