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Computability and Randomness : Oxford Logic Guides - Andre  Nies
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Computability and Randomness

By: Andre Nies

Hardcover | 29 January 2009

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The interplay between computability and randomness has been an active area of research in recent years, reflected by ample funding in the USA, numerous workshops, and publications on the subject. The complexity and the randomness aspect of a set of natural numbers are closely related. Traditionally, computability theory is concerned with the complexity aspect. However, computability theoretic tools can also be used to introduce mathematical counterparts for the intuitive notion of randomness of a set. Recent research shows that, conversely, concepts and methods originating from randomness enrich computability theory.
Covering the basics as well as recent research results, this book provides a very readable introduction to the exciting interface of computability and randomness for graduates and researchers in computability theory, theoretical computer science, and measure theory.
Industry Reviews

"A great introduction to the field. It is well written and moves systematically to advanced topics. It can be used both as a reference and as a text book for a one-semester course in advanced algorithmic randomness and computability theory."--Computing Reviews


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