An introduction to Kolmogorov complexity and its applications (2nd ed.)
An introduction to Kolmogorov complexity and its applications (2nd ed.)
On the Length of Programs for Computing Finite Binary Sequences: statistical considerations
Journal of the ACM (JACM)
Comparison Between the Complexity of a Function and the Complexity of Its Graph
MFCS '98 Proceedings of the 23rd International Symposium on Mathematical Foundations of Computer Science
Descriptive complexity of computable sequences
Theoretical Computer Science
Kolmogorov complexity conditional to large integers
Theoretical Computer Science
Information distance and conditional complexities
Theoretical Computer Science
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Our goal is to study the complexity of infinite binary recursive sequences. We introduce several measures of the quantity of information they contain. Some measures are based on size of programs that generate the sequence, the others are based on the Kolmogorov complexity of its finite prefixes. The relations between these complexity measures are established. The most surprising among them are obtained using a specific two-players game.