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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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.

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