Introduction To Kolmogorov Complexity And Its Applications

by Ming Li Paul M.B. Vitányi

The book is outstanding and admirable in many respects is necessary reading for all kinds of readers from undergraduate students to top authorities in the field Journal of Symbolic LogicWritten by two experts in the field this is the only comprehensive and unified treatment of the central ideas and applications of Kolmogorov complexity The book presents a thorough treatment of the subject with a wide range of illustrative applications Such applications include the randomness of finite objects or infinite sequences Martin Loef tests for randomness information theory computational learning theory the complexity of algorithms and the thermodynamics of computing It will be ideal for advanced undergraduate students graduate students and researchers in computer science mathematics cognitive sciences philosophy artificial intelligence statistics and physics The book is self contained in that it contains the basic requirements from mathematics and computer science Included are also numerous problem sets comments source references and hints to solutions of problems New topics in this edition include Omega numbers Kolmogorov Loveland randomness universal learning communication complexity Kolmogorov s random graphs time limited universal distribution Shannon information and others The book is outstanding and admirable in many respects is necessary reading for all kinds of readers from undergraduate students to top authorities in the field Journal of Symbolic LogicWritten by two experts in the field this is the only comprehensive and unified treatment of the central ideas and applications of Kolmogorov complexity The book presents a thorough treatment of the subject with a wide range of illustrative applications Such applications include the randomness of finite objects or infinite sequences Martin Loef tests for randomness information theory computational learning theory the complexity of algorithms and the thermodynamics o

Hardcover

Published January 1, 2009