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Computability and Randomness
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Computability and Randomness

by Andre Nies

Book Details

Format Hardback or Cased Book
Book Series Oxford Logic Guides
ISBN-10 0199230765
ISBN-13 9780199230761
Publisher Oxford University Press
Imprint Oxford University Press
Country of Manufacture GB
Country of Publication GB
Publication Date Jan 29th, 2009
Print length 450 Pages
Weight 811 grams
Dimensions 23.90 x 16.20 x 2.70 cms
Product Classification: Philosophy of mathematics Mathematical logic Maths for computer scientists Computer architecture & logic design
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A monograph on the interface of computational complexity and randomness of sets of natural numbers.
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.

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