Journal of Symbolic Logic

Diagonally non-computable functions and bi-immunity

Jr., Carl G. Jockusch and Andrew E. M. Lewis

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


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.

Article information

J. Symbolic Logic, Volume 78, Issue 3 (2013), 977-988.

First available in Project Euclid: 6 January 2014

Permanent link to this document

Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 03D28: Other Turing degree structures


Jockusch, Jr., Carl G.; Lewis, Andrew E. M. Diagonally non-computable functions and bi-immunity. J. Symbolic Logic 78 (2013), no. 3, 977--988. doi:10.2178/jsl.7803150.

Export citation