Some jump-like operations in β-recursion theory

Journal of Symbolic Logic 78 (1):57-71 (2013)
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Abstract

In this paper we show that there are various pseudo-jump operators definable over inadmissible $J_{\beta}$ that relate to the failure of admissiblity and to non-regularity. We will use these ideas to construct some intermediate degrees

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Inadmissibility, tame R.E. sets and the admissible collapse.Wolfgang Maass - 1978 - Annals of Mathematical Logic 13 (2):149-170.

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