Algorithmic Information Theory 1st Edition by Gregory J Chaitin ISBN 0521616042 9780521616041
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Authors:G. J. Chaitin (Author), C. J. van Rijsbergen (Editor) , Author sort:G. J. Chaitin (Author), C. J. van Rijsbergen (Editor) , Languages:Languages:eng , Published:Published:Apr 2003
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Product details:
ISBN 10: 0521616042
ISBN 13: 9780521616041
Author: Gregory J Chaitin
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.
Algorithmic Information Theory 1st Table of contents:
1. Introduction
Part I. Formalisms for Computation: Register Machines, Exponential Diophantine Equations, and Pure LISP:
2. The arithmetization of register machines
3. A version of Pure LISP
4. The LISP interpreter EVAL
Part II. Program Size, Halting Probabilities, Randomness, and Metamathematics:
5. Conceptual development
6. Program size
7. Randomness
8. Incompleteness
9. Conclusion
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