Irreducibility and Computational Equivalence
10 Years After Wolfram's A New Kind of Science
Editors: Zenil, Hector (Ed.)
Free Preview- Follows the bestseller by Stephen Wolfram: A New Kind of Science
- With a Foreword by Gregory Chaitin and an Afterword by Cris Calude
- Written by leading experts in the field
- Includes a Mathematica CDF version that runs with the (free) Wolfram CDF Player http://www.wolfram.co.uk/cdf-player/
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- About this book
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It is clear that computation is playing an increasingly prominent role in the development of mathematics, as well as in the natural and social sciences. The work of Stephen Wolfram over the last several decades has been a salient part in this phenomenon helping founding the field of Complex Systems, with many of his constructs and ideas incorporated in his book A New Kind of Science (ANKS) becoming part of the scientific discourse and general academic knowledge--from the now established Elementary Cellular Automata to the unconventional concept of mining the Computational Universe, from today's widespread Wolfram's Behavioural Classification to his principles of Irreducibility and Computational Equivalence.
This volume, with a Foreword by Gregory Chaitin and an Afterword by Cris Calude, covers these and other topics related to or motivated by Wolfram's seminal ideas, reporting on research undertaken in the decade following the publication of Wolfram's NKS book. Featuring 39 authors, its 23 contributions are organized into seven parts:
Mechanisms in Programs & Nature
Systems Based on Numbers & Simple Programs Social and Biological Systems & Technology Fundamental Physics The Behavior of Systems & the Notion of Computation Irreducibility & Computational Equivalence Reflections and Philosophical Implications.
- Table of contents (24 chapters)
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Cellular Automata: Models of the Physical World
Pages 3-10
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On the Necessity of Complexity
Pages 11-23
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A Lyapunov View on the Stability of Two-State Cellular Automata
Pages 25-33
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Cellular Automata and Hyperbolic Spaces
Pages 37-46
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Symmetry and Complexity of Cellular Automata: Towards an Analytical Theory of Dynamical System
Pages 47-65
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Table of contents (24 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Irreducibility and Computational Equivalence
- Book Subtitle
- 10 Years After Wolfram's A New Kind of Science
- Editors
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- Hector Zenil
- Series Title
- Emergence, Complexity and Computation
- Series Volume
- 2
- Copyright
- 2013
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-642-35482-3
- DOI
- 10.1007/978-3-642-35482-3
- Hardcover ISBN
- 978-3-642-35481-6
- Softcover ISBN
- 978-3-642-44257-5
- Series ISSN
- 2194-7287
- Edition Number
- 1
- Number of Pages
- XVI, 360
- Topics
