English

On the information-theoretic approach to G\"odel's incompleteness theorem

History and Overview 2016-09-07 v7

Abstract

In this paper we briefly review and analyze three published proofs of Chaitin's theorem, the celebrated information-theoretic version of G\"odel's incompleteness theorem. Then, we discuss our main perplexity concerning a key step common to all these demonstrations.

Keywords

Cite

@article{arxiv.math/0211078,
  title  = {On the information-theoretic approach to G\"odel's incompleteness theorem},
  author = {Germano D'Abramo},
  journal= {arXiv preprint arXiv:math/0211078},
  year   = {2016}
}

Comments

6 pages, no figures. Few grammar corrections

R2 v1 2026-07-22T16:49:05.696Z