Description
CAMBRIDGE UNIVERSITY PRESS Algorithmic Information Theory by Gregory. J. Chaitin
Chaitin, the inventor of algorithmic information theory, presents in this book the strongest possible version of Goedels 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.show more