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Algorithmic Information Theory

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Book Details:

Publisher:Cambridge University Press
Series: Cambridge University
Author:Gregory J. Chaitin
Edition:1
ISBN-10:0521616042
ISBN-13:9780521616041
Pages:192
Published:Dec 02 2004
Posted:Nov 19 2014
Language:English
Book format:PDF
Book size:0.91 MB

Book Description:

Chaitin, the inventor of algorithmic information theory, presents in this book the strongest possible version of Gdel's incompleteness theorem, using an information theoretic approach based on the size of computer programs. One half of the book is concerned with studying the halting probability of a universal computer if its program is chosen by tossing a coin. The other half is concerned with encoding the halting probability as an algebraic equation in integers, a so-called exponential diophantine equation.


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