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Emergence, Complexity and Computation

Turing Machine Universality of the Game of Life

Authors: Rendell, Paul

  • Presents a proof of universal computation in the Game of Life cellular automaton by using a Turing machine construction
  • Background material is presented giving a description of Conway’s
  • Game of Life, Turing machines and Counter Machines
  • Self-consistent and well-illustrated book
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eBook 79,72 €
price for Spain (gross)
  • ISBN 978-3-319-19842-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 124,79 €
price for Spain (gross)
  • ISBN 978-3-319-19841-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 97,18 €
price for Spain (gross)
  • ISBN 978-3-319-37044-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

This book presents a proof of universal computation in the Game of Life cellular automaton by using a Turing machine construction. It provides an introduction including background information and an extended review of the literature for Turing Machines, Counter Machines and the relevant patterns in Conway's Game of Life so that the subject matter is accessibly to non specialists.

The book contains a description of the author’s Turing machine in Conway’s Game of Life including an unlimited storage tape provided by growing stack structures and it also presents a fast universal Turing machine designed to allow the working to be demonstrated in a convenient period of time.

 

Reviews

“The book contains numerous detailed illustrations … . an avid reader who is a Game of Life enthusiast to the core will cherish every word. However, less detail-oriented readers may also enjoy this manuscript, focusing more on the tale told by the illustrations and their accompanying captions. These in themselves provide much insight into the fascinating universe of cellular automata–and into the amazing feats they can accomplish.” (Moshe Sipper, Genetic Programming and Evolvable Machines, Vol. 18, 2017)

“Rendell’s volume reports an extended project on such engineering of universal computers in the GoL. … individual chapters have references to the literature relevant to each of them. Aficionados of the Game of Life will welcome this volume as the journal of a fellow enthusiast as he explores new ways to configure and manipulate the simple potential of this fascinating algorithm.” (H. Van Dyke Parunak, Computing Reviews, November, 2015)


Table of contents (12 chapters)

Buy this book

eBook 79,72 €
price for Spain (gross)
  • ISBN 978-3-319-19842-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 124,79 €
price for Spain (gross)
  • ISBN 978-3-319-19841-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 97,18 €
price for Spain (gross)
  • ISBN 978-3-319-37044-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Turing Machine Universality of the Game of Life
Authors
Series Title
Emergence, Complexity and Computation
Series Volume
18
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-19842-2
DOI
10.1007/978-3-319-19842-2
Hardcover ISBN
978-3-319-19841-5
Softcover ISBN
978-3-319-37044-6
Series ISSN
2194-7287
Edition Number
1
Number of Pages
XV, 177
Number of Illustrations
141 b/w illustrations
Topics