Art

J-GLOBAL ID：201402230423014560   Reference number：14A0409143

A Formulation of Composition for Cellular Automata on Groups

群におけるセルラオートマトンのための構成の定式

Author (4)： INOKUCHI Shuichi (Fac. of Mathematics, Kyushu Univ.) ,  ITO Takahiro (TOME R&D Inc.) ,  FUJIO Mitsuhiko (Fac. of Humanity-Oriented Sci. and Engineering, Kinki Univ.) ,  MIZOGUCHI Yoshihiro (Inst. of Mathematics for Ind., Kyushu Univ.)
Material： IEICE Transactions on Information and Systems (Institute of Electronics, Information and Communication Engineers)  (IEICE Trans Inf Syst (Inst Electron Inf Commun Eng))
Volume： E97-D  Issue： 3  Page： 448-454 (J-STAGE)  Publication year： 2014 
JST Material Number： L1371A  ISSN： 0916-8532  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *cellular automaton ,  power series ,  *formulation ,  linearity ,  synthesis ,  binding and coupling ,  division and resolution ,  nonlinear
Semi thesaurus term： linearity ,  *formulation

JST classification (1)： Automaton theory  (JB04000O)

Reference (12)：

• [1] E.R. Berlekamp, J.H. Conway, and R. Guy, Winning Ways for Your Mathematical Plays, 2, Academic Press, 1982.
• [2] M. Fujio, “XOR²=90-graded algebra structure of the boolean algebra of local transition rules,” RIMS kokyuroku, vol.1599, pp.97-102, 2008.
• [3] S. Inokuchi, Y. Kawahara, and Y. Mizoguchi, “Set of collisions and connected subsets,” Bulletin of Informatics and Cybetnetics, vol.44, pp.111-115, 2012.
• [4] T. Ito, “Abstract collision systems on g-sets,” J. of Math for Industry, vol.2(A), pp.57-73, 2010.
• [5] T. Ito, S. Inokuchi, and Y. Mizoguchi, “An abstract collision system,” Automata-2008 Theory and Applications of Cellular Automata, pp.339-355, Luniver Press, 2008.

Terms in the title (3)： 群 ,  セルラオートマトン ,  定式