Algorithmic Information Theory
Download or Read eBook Algorithmic Information Theory PDF written by Gregory. J. Chaitin and published by Cambridge University Press. This book was released on 2004-12-02 with total page 192 pages. Available in PDF, EPUB and Kindle.
Author | : Gregory. J. Chaitin |
Publisher | : Cambridge University Press |
Total Pages | : 192 |
Release | : 2004-12-02 |
ISBN-10 | : 0521616042 |
ISBN-13 | : 9780521616041 |
Rating | : 4/5 (42 Downloads) |
Book Synopsis Algorithmic Information Theory by : Gregory. J. Chaitin
Book excerpt: Chaitin, the inventor of algorithmic information theory, presents in this book the strongest possible version of Gödel'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.