English

Gacs-Kucera Theorem

Computational Complexity 2022-08-23 v1

Abstract

Gacs-Kucera Theorem, tightened by Barmpalias and Lewis-Pye, w.t.t.-reduces each infinite sequence to a Kolmogorov--Martin-Lof random one and is broadly used in various Math and CS areas. Its early proofs are somewhat cumbersome, but using some general concepts yields significant simplification illustrated here.

Cite

@article{arxiv.2207.12489,
  title  = {Gacs-Kucera Theorem},
  author = {Leonid A. Levin},
  journal= {arXiv preprint arXiv:2207.12489},
  year   = {2022}
}

Comments

1 page. Theoretical Computer Science, 2022

R2 v1 2026-06-25T01:13:12.049Z