Jump to ContentJump to Main Navigation
Computability and Randomness$
Users without a subscription are not able to see the full content.
Computability and Randomness

André Nies

Print publication date: 2009

Print ISBN-13: 9780199230761

Published to Oxford Scholarship Online: May 2009

DOI: 10.1093/acprof:oso/9780199230761.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 26 October 2021

The descriptive complexity of strings

The descriptive complexity of strings

Chapter:
(p.74) 2 The descriptive complexity of strings
Source:
Computability and Randomness
Author(s):

André Nies

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199230761.003.0002

This chapter develops the theory of plain Kolmogorov complexity, and then of prefix-free Kolmogorov complexity. A main technical tool for later chapters is the Machine Existence (or Kraft–Chaitin) Theorem. The chapter uses some probability theory to obtain statistical properties of incompressible strings.

Keywords:   Kolmogorov complexity, prefix freeness, Machine Existence Theorem, Kraft–Chaitin, incompressibility

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .