Irreducibility and Computational Equivalence
Subtitle: 10 Years After Wolfram's A New Kind of Science
By: edited by Hector Zenil
Contributors: SpringerLink (Online service)
Series: Emergence, Complexity and Computation -- 2
Publisher: Springer Berlin Heidelberg; Imprint: Springer
Published: 2013
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] :
Number of pages: 358
ISBN-13: 9783642354823
Subjects: Complexity; Artificial Intelligence (incl. Robotics); Physics; Engineering; Artificial intelligence; Computational intelligence
Description: <p>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.</p><p>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: </p><p>Mechanisms in Programs &amp; Nature</p><p>Systems Based on Numbers &amp; Simple Programs </p><p>Social and Biological Systems &amp; Technology </p><p>Fundamental Physics</p><p>The Behavior of Systems &amp; the Notion of Computation</p><p>Irreducibility &amp; Computational Equivalence</p><p>Reflections and Philosophical Implications.</p><p>
Table of contents: title: From the Contents: Part I Mechanisms in Programs and Nature; title: Hyperbolic Cellular Automata; title: A Lyapunov View on the Stability of Cellular Automata.- Part II The World of Numbers &amp; Simple Programs; title: Cellular Automata: Models of the Physical World; title: Part III Everyday Systems; title: A New Kind of Finance; title: The Relevance and Importance of Computation Universality in Economics; title: Part IV Fundamental Physics; title: The Principle of a Finite Density of Information; title: Part V The Behavior of Systems &amp; the Notion of Computation; title: An Incompleteness Theorem for the Natural World; title: Part VI Irreducibility &amp; Computational Equivalence; title: Exploring the Computational Limits of Haugeland's Game as a Two-Dimensional Cellular Automaton.- Part VII Deliberations and Philosophical Implications; title: Wolfram and the Computing Nature.