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Diagonally non-computable functions and bi-immunity

Jockush, Carl G. and Lewis-Pye, Andrew (2014) Diagonally non-computable functions and bi-immunity. Journal of Symbolic Logic, 78 (3). pp. 977-988. ISSN 0022-4812

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Identification Number: 10.2178/jsl.7803150

Abstract

We 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.

Item Type: Article
Official URL: http://www.aslonline.org/journals-journal.html
Additional Information: © 2013 Association for Symbolic Logic
Divisions: Mathematics
Subjects: Q Science > QA Mathematics
Date Deposited: 06 Aug 2013 11:52
Last Modified: 02 Oct 2024 21:45
URI: http://eprints.lse.ac.uk/id/eprint/51463

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