"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 Logic Written by two experts in the field, this is the only comprehensive and unified treatment of the central ideas and their 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, MartinLoef 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 selfcontained 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, KolmogorovLoveland randomness, universal learning, communication complexity, Kolmogorov's random graphs, timelimited universal distribution, Shannon information and others.
About Li Ming
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Author  :  Li Ming 
Publisher  :  SpringerVerlag New York Inc. 
Data Published  :  21 November 2008 
ISBN  :  0387339981 
EAN  :  9780387339986 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  792 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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