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abstract: 'The Game of Life cellular automaton is a classical example of a massively parallel collision-based computing device. The automaton exhibits mobile patterns, gliders, and generators of the mobile patterns, glider guns, in its evolution. We show how to construct basic logical perations, AND, OR, NOT in space-time configurations of the cellular automaton. Also decomposition of complicated Boolean functions is discussed. Advantages of our technique are demonstrated on an example of binary adder, realized via collision of glider streams.'
altloc:
- http://www.rennard.org/pub/CollisionBasedRennard.pdf
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creators_name:
- family: Rennard
given: Jean-Philippe
honourific: ''
lineage: ''
date: 2002
date_type: published
datestamp: 2005-03-08
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dir: disk0/00/00/41/15
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editors_id: []
editors_name:
- family: Adamatzky
given: Andrew
honourific: ''
lineage: ''
eprint_status: archive
eprintid: 4115
fileinfo: /style/images/fileicons/application_pdf.png;/4115/1/CollisionBasedRennard.pdf
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keywords: 'cellular automata, universal Turing machine, Game of Life, collision-based computing, Boolean algebra'
lastmod: 2011-03-11 08:55:51
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metadata_visibility: show
note: ~
number: ~
pagerange: 419-512
pubdom: FALSE
publication: Collision Based Computing
publisher: Springer
refereed: TRUE
referencetext: |-
Berlekamp E.R., Conway J.H. & Guy R. Winning Ways for Your Mathematical Plays, vol 2, Academic Press, 1982.
Durand B. & Roka Z. The Game of Life: universality revisited Research Report 98-01, Ecole Normale Sup��rieure de Lyon, Laboratoire de l'Informatique du Parall��lisme, 1998.
Levy S. Artificial Life. The quest for a new creation Penguin Books, 1992
Morita K. & Imai K. A simple self-reproducing cellular automaton with shape encoding mechanism In: Artificial Life V, MIT Press, Cambridge, 1997, 489-496
von Neumann J. (Burks A., Editor) Theory of Self-Reproducing Automata, University of Illinois Press, 1966
Wolfram S. Universality and complexity in cellular automata Physica D 10, 1984, 1-35.
relation_type: []
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reportno: ~
rev_number: 12
series: ~
source: ~
status_changed: 2007-09-12 16:55:52
subjects:
- comp-sci-complex-theory
succeeds: ~
suggestions: ~
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thesistype: ~
title: Implementation of Logical Functions in the Game of Life
type: bookchapter
userid: 5459
volume: ~