The jump classes of minimal covers

Lewis-Pye, Andrew (2006) The jump classes of minimal covers In: Logical Approaches to Computational Barriers: Second Conference on Computability in Europe, Cie 2006, Swansea, Uk, June 30-July. Lecture notes in computer science (3988). Springer Berlin / Heidelberg, Berlin, pp. 307-318. ISBN 9783540354666
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We work in D[<0′] . Given the jump class of any (Turing) degree a, the jump classes of the minimal covers of a is a matter which is entirely settled unless a is high 2. We show that there exists a c.e. degree which is high 2 with no high 1 minimal cover.

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