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Irreducibility and Computational Equivalence

10 Years After Wolfram's A New Kind of Science

  • Book
  • © 2013

Overview

  • 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/
  • Immediately available per PDF and CDF-download (no DRM, watermarked)

Part of the book series: Emergence, Complexity and Computation (ECC)

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Table of contents (24 chapters)

  1. Mechanisms in Programs and Nature

  2. Systems Based on Numbers and Simple Programs

  3. Mechanisms in Biology, Social Systems and Technology

  4. Fundamental Physics

  5. The Behavior of Systems and the Notion of Computation

Keywords

About this book

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.

Editors and Affiliations

  • , Department of Computer Science/, The University of Sheffield, Portobello, United Kingdom

    Hector Zenil

Bibliographic Information

  • Book Title: Irreducibility and Computational Equivalence

  • Book Subtitle: 10 Years After Wolfram's A New Kind of Science

  • Editors: Hector Zenil

  • Series Title: Emergence, Complexity and Computation

  • DOI: https://doi.org/10.1007/978-3-642-35482-3

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2013

  • Hardcover ISBN: 978-3-642-35481-6Published: 24 December 2012

  • Softcover ISBN: 978-3-642-44257-5Published: 29 January 2015

  • eBook ISBN: 978-3-642-35482-3Published: 25 December 2012

  • Series ISSN: 2194-7287

  • Series E-ISSN: 2194-7295

  • Edition Number: 1

  • Number of Pages: XVI, 360

  • Topics: Complexity, Computational Intelligence, Artificial Intelligence

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