paper

Left computably enumerable reals and initial segment complexity

arXiv:2208.00423

Abstract

We are interested in the computability between left c.e. reals and their initial segments. We show that the quantity plays a crucial role in this and in their completeness. We look in particular at Chaitin's theorem and its relativisation due to Frank Stephan.

13 pages

Left computably enumerable reals and initial segment complexity · wovepaper