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BibTeX entry
@Article{deOliveira:2014:RFC,
author = "Pedro P. B. de Oliveira and Maur{\'\i}cio Verardo",
title = "Representing Families of Cellular Automata Rules",
journal = j-MATHEMATICA-J,
volume = "16",
number = "??",
pages = "??--??",
month = "????",
year = "2014",
CODEN = "????",
ISSN = "1047-5974 (print), 1097-1610 (electronic)",
bibdate = "Wed Sep 10 10:37:47 MDT 2014",
bibsource = "http://www.mathematica-journal.com/issue/v0i0/;
http://www.math.utah.edu/pub/tex/bib/mathematicaj.bib",
URL = "http://www.mathematica-journal.com/2014/08/representing-families-of-cellular-automata-rules/",
abstract = "This article introduces the notion of a representation
of cellular automata rules based on a template. This
enhances the standard representation based on a rule
table, in that it refers to families of cellular
automata, instead of a rule alone. The key for
obtaining the templates is the role of the built-in
equation-solving capabilities of Mathematica.
Operations applicable to the templates are defined, and
examples of their use are given in the context of
finding representations for rule sets that share the
properties of maximum internal symmetry or number
conservation. The perspectives for using templates in
further contexts are also discussed and current
limitations are addressed. \ldots{}",
acknowledgement = ack-nhfb,
}
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