On a Conjecture of Kleene and Post

Mathematical Logic Quarterly 47 (1):3-34 (2001)
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Abstract

A proof is given that 0′ is definable in the structure of the degrees of unsolvability. This answers a long-standing question of Kleene and Post, and has a number of corollaries including the definability of the jump operator

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Citations of this work

Direct and local definitions of the Turing jump.Richard A. Shore - 2007 - Journal of Mathematical Logic 7 (2):229-262.
Degree structures: Local and global investigations.Richard A. Shore - 2006 - Bulletin of Symbolic Logic 12 (3):369-389.

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