Irreducibility and computational equivalence : 10 years after Wolfram's a new kind of science

著者

• Zenil, Hector

書誌事項

Irreducibility and computational equivalence : 10 years after Wolfram's a new kind of science

editor Hector Zenil

（Emergence, complexity and computation / series editors Ivan Zelinka, Andrew Adamatzky, Guanrong Chen, 2）

Springer, c2013

内容説明・目次

内容説明

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.

目次

Foreword Gregory Chaitin Part I Mechanisms in Programs and Nature 1. Hyperbolic Cellular Automata Maurice Margenstern 2. A Lyapunov View on the Stability of Cellular Automata Jan M. Baetens & Bernard De Baets 3. On the Necessity of Complexity Joost J. Joosten 4. Computational Technosphere and Cellular Engineering Mark Burgin Part II The World of Numbers & Simple Programs 5. Cellular Automata: Models of the Physical World Herbert W. Franke 6. Symmetry and Complexity of Cellular Automata: Towards an Analytical Theory of Dynamical System Klaus Mainzer 7. A New Kind of Science: Ten Years Later David H. Bailey Part III Everyday Systems 8. A New Kind of Finance Philip Z. Maymin 9. The Relevance and Importance of Computation Universality in Economics Kumaraswamy Velupillai 10. Exploring the Sources of and Nature of Computational Irreducibility Brian Beckage, Stuart Kauffman, Louis Gross, Asim Zia, Gabor Vattay and Chris Koliba Part IV Fundamental Physics 11. The Principle of a Finite Density of Information Gilles Dowek and Pablo Arrighi 12. Artificial Cosmogenesis: A New Kind of Cosmology Clement Vidal 13. Do Particles Evolve? Tommaso Bolognesi Part V The Behavior of Systems & the Notion of Computation 14. An Incompleteness Theorem for the Natural World Rudy Rucker 15. Pervasiveness of Universalities of Cellular Automata: Fascinating Life-like Behaviours Emmanuel Sapin 16. Wolfram's Classification and Computation in Cellular Automata Classes III and IV Genaro J. Martinez, Juan Carlos Seck Tuoh Mora and Hector Zenil Part VI Irreducibility & Computational Equivalence 17. Exploring the Computational Limits of Haugeland's Game as a Two-Dimensional Cellular Automaton Drew Reisinger, Taylor Martin, Mason Blankenship, Christopher Harrison, Jesse Squires and Anthony Beavers 18. Irreducibility and Computational Equivalence Herve Zwrin and Jean-Paul Delahaye 19. Computational Equivalence and Classical Recursion Theory Klaus Sutner Part VII Deliberations and Philosophical Implications 20. Wolfram and the Computing Nature Gordana Dodig-Crnkovic 21. A New Kind of Philosophy. Manifesto for a Digital Ontology Jacopo Tagliabue 22. Free Will For Us, not For Robots Selmer Bringsjord Afterword Cristian Calude

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詳細情報

• NII書誌ID(NCID): BB12529251
• ISBN:
  • 9783642354816
• 出版国コード: gw
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Berlin
• ページ数/冊数: xv, 358 p.
• 大きさ: 25 cm
• 親書誌ID:
  • BB12528124