Turing Machine Universality of the Game of Life

Rendell, Paul

Turing Machine Universality of the Game of Life by Paul Rendell - 1 recurso en línea (XV, 177 p.) 141 ilustraciones - Emergence, Complexity and Computation 18 2194-7287 . - Emergence, Complexity and Computation 18 .

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 authors Turing machine in Conways 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.

9783319198422

10.1007/978-3-319-19842-2 doi


Modelos matemáticos
Inteligencia artificial
Física estadística

QA267 / .R46 2016 EB

620