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Algorithmic information theory

✍ Scribed by Chaitin, Gregory J.


Publisher
CUP
Year
1987, 2004
Tongue
English
Leaves
192
Series
Cambridge Tracts in Theoretical Computer Science, Volume 1
Edition
Revised edition
Category
Library

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✦ Synopsis


Chaitin, the inventor of algorithmic information theory, presents in this book the strongest possible version of GΓΆdel'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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