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Reproducing the cyclic tag system developed by Matthew Cook with Rule 110 using the phases f1_1

Martinez, Genaro J.; McIntosh, Harold V.; Mora, Juan C.S.T; Vergara, Sergio V.C.

Reproducing the cyclic tag system developed by Matthew Cook with Rule 110 using the phases f1_1 Thumbnail


Authors

Genaro J. Martinez

Harold V. McIntosh

Juan C.S.T Mora

Sergio V.C. Vergara



Abstract

This paper implements the cyclic tag system (CTS) in Rule 110 developed by Cook in [1, 2] using regular expressions denominated phases fi_1 [3]. The main problem in CTS is coding the initial condition based in a system of gliders. In this way, we develop a method to control the periodic phases of the strings representing all gliders until now known in Rule 110, including glider guns. These strings form a subset of regular expressions implemented in a computational system to facilitate the construction of CTS. Thus, these phases are useful to establish distances and positions for every glider and then to delineate more sophisticated components or packages of gliders. In this manuscript, it is possible to find differences with the results exposed in Wolfram's book [2], inclusively some mistakes which avoid to obtain an appropriated realization of CTS in Rule 110; fortunately, these irregularities were discussed and clarified by Cook.

Citation

Martinez, G. J., McIntosh, H. V., Mora, J. C., & Vergara, S. V. (2011). Reproducing the cyclic tag system developed by Matthew Cook with Rule 110 using the phases f1_1. Journal of Cellular Automata, 6(2-3), 121-161

Journal Article Type Article
Publication Date Jan 1, 2011
Deposit Date Jul 26, 2010
Publicly Available Date Jun 17, 2016
Journal Journal of Cellular Automata
Print ISSN 1557-5969
Publisher Old City Publishing
Peer Reviewed Peer Reviewed
Volume 6
Issue 2-3
Pages 121-161
Keywords cyclic tag system, rule 110
Public URL https://uwe-repository.worktribe.com/output/970133
Publisher URL http://www.oldcitypublishing.com/JCA/JCAcontents/JCAv6n2-3contents.html

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