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  1. The Upper Semi-Lattice of Degrees of Recursive Unsolvability.S. C. Kleene & Emil L. Post - 1956 - Journal of Symbolic Logic 21 (4):407-408.
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  • Pseudo-Jump Operators. II: Transfinite Iterations, Hierarchies and Minimal Covers.Carl G. Jockusch & Richard A. Shore - 1984 - Journal of Symbolic Logic 49 (4):1205 - 1236.
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  • On a Conjecture of Kleene and Post.S. Barry Cooper - 2001 - Mathematical Logic Quarterly 47 (1):3-34.
    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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  • A degree-theoretic definition of the ramified analytical hierarchy.Carl G. Jockusch & Stephen G. Simpson - 1976 - Annals of Mathematical Logic 10 (1):1-32.
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  • (1 other version)[Omnibus Review].Carl Jockusch - 1990 - Journal of Symbolic Logic 55 (1):358-360.
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