A DNC function that computes no effectively bi-immune set
arXiv:1308.1324
Abstract
In Diagonally Non-Computable Functions and Bi-Immunity, Carl Jockusch and Andrew Lewis proved that every DNC function computes a bi-immune set. They asked whether every DNC function computes an effectively bi-immune set. We construct a DNC function that computes no effectively bi-immune set, thereby answering their question in the negative.
arXiv comment7 pages, 1 figures