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Irreducibility and Computational Equivalence

10 Years After Wolfram's A New Kind of Science

Editors:

  • 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. The Behavior of Systems and the Notion of Computation

    1. A Spectral Portrait of the Elementary Cellular Automata Rule Space

      • Eurico L. P. Ruivo, Pedro P. B. de Oliveira
      Pages 211-235
    2. Wolfram’s Classification and Computation in Cellular Automata Classes III and IV

      • Genaro J. Martínez, Juan C. Seck-Tuoh-Mora, Hector Zenil
      Pages 237-259
  2. Irreducibility and Computational Equivalence

    1. Front Matter

      Pages 261-261
    2. Exploring Wolfram’s Notion of Computational Irreducibility with a Two-Dimensional Cellular Automaton

      • Drew Reisinger, Taylor Martin, Mason Blankenship, Christopher Harrison, Jesse Squires, Anthony Beavers
      Pages 263-272
    3. Unpredictability and Computational Irreducibility

      • Hervé Zwirn, Jean-Paul Delahaye
      Pages 273-295
  3. Reflections and Philosophical Implications

    1. Front Matter

      Pages 309-309
    2. Wolfram and the Computing Nature

      • Gordana Dodig-Crnkovic
      Pages 311-323
    3. Free Will and A New Kind of Science

      • Selmer Bringsjord
      Pages 341-350
  4. Back Matter

    Pages 1-8

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

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access