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Irreducibility and computational equivalence 10 years after Wolfram's A New Kind of Science /

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,...

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Bibliographic Details
Corporate Authors: SpringerLink (Online service)
Group Author: Zenil, Hector.
Published:
Literature type: Electronic eBook
Language: English
Series: Emergence, Complexity and Computation ; v. 2
Subjects:
Cellular automata.
Computational complexity.
Science > Data processing.
Dynamics.
Nonlinear theories.
Wolfram, Stephen. New kind of science.
COMPUTERS / Machine Theory.
Electronic books.
Online Access: http://dx.doi.org/10.1007/978-3-642-35482-3
Summary: 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.
Carrier Form: 1 online resource (xv, 358 p.) : ill.
Bibliography: Includes bibliographical references and index.
ISBN: 9783642354823 (electronic bk.)
3642354823 (electronic bk.)
Index Number: QA267
CLC: TP301
Contents: Part I: Mechanisms in programs and nature -- Part II: Systems based on numbers and simple programs -- Part III: Mechanisms in biology, social systems and technology -- Part IV: Fundamental physics -- Part V: The behavior of systems and the notion of computation -- Part VI: Irreducibility and computational equivalience -- Part VII: Reflections and philosophical implications.

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