English

Lecture notes on descriptional complexity and randomness

Information Theory 2021-05-12 v1 math.IT

Abstract

A didactical survey of the foundations of Algorithmic Information Theory. These notes are short on motivation, history and background but introduce some of the main techniques and concepts of the field. The "manuscript" has been evolving over the years. Please, look at "Version history" below to see what has changed when.

Cite

@article{arxiv.2105.04704,
  title  = {Lecture notes on descriptional complexity and randomness},
  author = {Peter Gacs},
  journal= {arXiv preprint arXiv:2105.04704},
  year   = {2021}
}

Comments

181 pages. arXiv admin note: text overlap with arXiv:cs/0312039

R2 v1 2026-06-24T01:58:02.894Z