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Computability and Randomness (Oxford Logic Guides): Andre Nies

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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	Study Category Theory (Oxford Logic Guides) Category Theory (Oxford Logic Guides)Oxford University Press, USA (2006-07-03) \| ISBN: 0198568614 \| 272 Pages \| 1 MB \| PDFSeveral years ago I came across an on-line .pdf format of Awodey's manuscript while trying to find a text on Category ...
	Science/Engineering A First Course in Logic: An Introduction to Model Theory, Proof Theory, Computability, and Complexity (Oxford Texts in Logic) Publisher: Oxford University Press, USALanguage: EnglishISBN: 0198529805Paperback: 452 pagesData: August 24, 2004Format: PDFDescription: The ability to reason and think in a logical manner forms the basis of learning for most mathematics, c ...
	Science/Engineering Cardinal Arithmetic (Oxford Logic Guides) Saharon Shelah, "Cardinal Arithmetic (Oxford Logic Guides)" Oxford University Press \| 1994 \| ISBN: 0198537859 \| 520 pages \| DJVU \| 4,7 MB Is the continuum hypothesis still open? If we interpret it as finding the laws of cardinal arithmeti ...
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	Science/Engineering Interpolation and Definability: Modal and Intuitionistic Logic (Oxford Logic Guides) Interpolation and Definability: Modal and Intuitionistic Logic (Oxford Logic Guides)Oxford University Press, USA \| ISBN: 0198511744 \| 2005-07-28 \| PDF \| 522 pages \| 4 Mb This monograph is on interpolation and definability, a notion central ...
	Science/Engineering Recursion Theory for Metamathematics (Oxford Logic Guides) Raymond M. Smullyan, "Recursion Theory for Metamathematics (Oxford Logic Guides)"Publisher: Oxford University Press, USA \| 1993-01-28 \| 180 Pages \| ISBN: 019508232X \| PDF \| 6,8 MBThis work is a sequel to the author's Godel's Incompleteness ...

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