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Turing Machine Universality of the Game of Life / by Paul Rendell

By: Rendell, Paul
Contributor(s): SpringerLink (Online service)
Material type: materialTypeLabelE-bookSeries: Emergence, Complexity and Computation; 1818Publisher: Cham : Springer International Publishing, 2016Description: 1 recurso en línea (XV, 177 p.) : 141 ilustraciones.ISBN: 9783319198422.Subject: Modelos matemáticos | Inteligencia artificial | Física estadísticaDDC classification: 620 Online resources: Acceso a este recurso digital (usuarios Universidad Europea de Madrid)Digital Resources
Contents:
Introduction -- Background -- Literature Review / Related Work -- Game of Life Turing Machine -- Game of Life Universal Turing Machine.- Optimizing Transition Order -- Forty Five Degree Stack -- Stack Constructor -- Universal Counter Machine - Turing Machine -- Wolfram's two State Three Symbol UTM -- Conclusions and Discussion -- Further Work.
Abstract: 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{u2019}s Turing machine in Conway{u2019}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.
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Holdings
Item type Current library Collection Call number Copy number Status Date due Barcode Item holds
LIBRO-E NO PRÉSTAMO LIBRO-E NO PRÉSTAMO Madrid Digital Acceso Electrónico (UEM) Ciencias e Ingeniería QA267 .R46 2016 EB (Browse shelf(Opens below)) .i11583940 Acceso electrónico eBOOK .i11583940
Total holds: 0

Introduction -- Background -- Literature Review / Related Work -- Game of Life Turing Machine -- Game of Life Universal Turing Machine.- Optimizing Transition Order -- Forty Five Degree Stack -- Stack Constructor -- Universal Counter Machine - Turing Machine -- Wolfram's two State Three Symbol UTM -- Conclusions and Discussion -- Further Work.

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{u2019}s Turing machine in Conway{u2019}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.

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