An Introduction to Kolmogorov Complexity and Its Applications

• Main Authors: Li, Ming (Author, http://id.loc.gov/vocabulary/relators/aut), Vitányi, Paul (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 4th ed. 2019.
• Series: Texts in Computer Science,
• Subjects: Applied mathematics.; Engineering mathematics.; Coding theory.; Information theory.; Computers.; Algorithms.; Statistics .; Pattern recognition.; Applications of Mathematics.; Coding and Information Theory.; Theory of Computation.; Statistical Theory and Methods.; Pattern Recognition.

This must-read textbook presents an essential introduction to Kolmogorov complexity (KC), a central theory and powerful tool in information science that deals with the quantity of information in individual objects. The text covers both the fundamental concepts and the most important practical applic...

Table of Contents:

• Preliminaries
• Algorithmic Complexity
• Algorithmic Prefix Complexity
• Algorithmic Probability
• Inductive Reasoning
• The Incompressibility Method
• Resource-Bounded Complexity
• Physics, Information, and Computation.