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The Kraft--Barmpalias--Lewis-Pye lemma revisited

Information Theory 2023-06-02 v2 Data Structures and Algorithms math.IT Logic

Abstract

This note provides a simplified exposition of the proof of hierarchical Kraft lemma proven by Barmpalias and Lewis-Pye and its consequences for the oracle use in the Ku\v{c}era--G\'acs theorem (saying that every sequence is Turing reducible to a random one).

Keywords

Cite

@article{arxiv.2304.04852,
  title  = {The Kraft--Barmpalias--Lewis-Pye lemma revisited},
  author = {Alexander Shen},
  journal= {arXiv preprint arXiv:2304.04852},
  year   = {2023}
}

Comments

(Added a small remark about non-binary case in v.2)