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arxiv: 1109.6128 · v1 · pith:ET6SSQ6Xnew · submitted 2011-09-28 · 🧮 math.LO

Strong jump traceability and Demuth randomness

classification 🧮 math.LO
keywords demuthrandomnessclassjump-traceablesetsstronglybasecomputable
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We solve the covering problem for Demuth randomness, showing that a computably enumerable set is computable from a Demuth random set if and only if it is strongly jump-traceable. We show that on the other hand, the class of sets which form a base for Demuth randomness is a proper subclass of the class of strongly jump-traceable sets.

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