Diagonally Non-Computable Functions and Bi-Immunity-Reference-Cited by-同舟云学术

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Diagonally Non-Computable Functions and Bi-Immunity

Published:2013-09 Issue:3 Volume:78 Page:977-988
ISSN:0022-4812
Container-title:The Journal of Symbolic Logic
language:en
Short-container-title:J. symb. log.

Author:

Jockusch Carl G.,Lewis Andrew E. M.

Abstract

AbstractWe prove that every diagonally noncomputable function computes a set A which is bi-immune, meaning that neither A nor its complement has an infinite computably enumerable subset.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference15 articles.

1. Mass Problems and Randomness

2. Recursion theoretic aspects of the dual ramsey theorem

3. Computability and Randomness

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Bi-immunity over different size alphabets;Theoretical Computer Science;2021-11

2. On the Uniform Computational Content of Computability Theory;Theory of Computing Systems;2017-08-16

3. FORCING WITH BUSHY TREES;The Bulletin of Symbolic Logic;2017-06

4. Effective Bi-immunity and Randomness;Computability and Complexity;2016-12-01

5. Ramsey-type graph coloring and diagonal non-computability;Archive for Mathematical Logic;2015-09-21

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