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Algorithmic Information Theory

BuchKartoniert, Paperback
192 Seiten
Englisch
Cambridge University Presserschienen am20.10.2004
Chaitin, the inventor of algorithmic information theory, presents in this book the strongest possible version of Goedel'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.mehr

Produkt

KlappentextChaitin, the inventor of algorithmic information theory, presents in this book the strongest possible version of Goedel'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.
Details
ISBN/GTIN978-0-521-61604-1
ProduktartBuch
EinbandartKartoniert, Paperback
Erscheinungsjahr2004
Erscheinungsdatum20.10.2004
Seiten192 Seiten
SpracheEnglisch
MasseBreite 189 mm, Höhe 246 mm, Dicke 11 mm
Gewicht383 g
Artikel-Nr.13860210

Inhalt/Kritik

Inhaltsverzeichnis
Foreword; Preface; Figures; 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; Bibliography.mehr

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