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Computability and Randomness (Oxford Logic Guides)
Rok: 2009
ISBN: 9780199230761
OKCZID: 110222311
Citace (dle ČSN ISO 690):
NIES, André. Computability and randomness. Oxford: Oxford University Press, c2009. xv, 433 s.
Hodnocení:
5.0 / 5
(6 hlasů)
Anotace
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.