DEFINABILITY OF THE JUMP OPERATOR IN THE ENUMERATION DEGREES-Reference-Cited by-同舟云学术

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DEFINABILITY OF THE JUMP OPERATOR IN THE ENUMERATION DEGREES

Published:2003-11 Issue:02 Volume:03 Page:257-267
ISSN:0219-0613
Container-title:Journal of Mathematical Logic
language:en
Short-container-title:J. Math. Log.

Author:

Sh. KALIMULLIN I.¹

Affiliation:

1. Kazan State University, Kazan, Russia

Abstract

We show that the e-degree 0'e and the map u ↦ u' are definable in the upper semilattice of all e-degrees. The class of total e-degrees ≥0'e is also definable.

Publisher

World Scientific Pub Co Pte Lt

Subject

Logic

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219061303000285

Reference10 articles.

1. Partial degrees and the density problem. Part 2: The enumeration degrees of the Σ2 sets are dense

2. Enumeration reducibility, nondeterministic computations and relative computability of partial functions

3. Semirecursive sets and positive reducibility

4. Jumps of quasi-minimal enumeration degrees

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1. The Relationship Between Local and Global Structure in the Enumeration Degrees;Lecture Notes in Computer Science;2023

2. PA RELATIVE TO AN ENUMERATION ORACLE;The Journal of Symbolic Logic;2022-07-18

3. The automorphism group and definability of the jump operator in the $$\omega $$-enumeration degrees;Archive for Mathematical Logic;2021-04-01

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