Engineering - General & Miscellaneous, Mathematics, Mathematics, Computers - General & Miscellaneous, Programming Languages, Engineering - General & Miscellaneous
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Overview
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.
Book Details
Published
December 1, 2004
Publisher
Cambridge University Press
Pages
190
Format
Paperback
ISBN
9780521616041