A Formulation of Composition for Cellular Automata on Groups

Author:

INOKUCHI Shuichi1,ITO Takahiro2,FUJIO Mitsuhiko3,MIZOGUCHI Yoshihiro4

Affiliation:

1. Faculty of Mathematics, Kyushu University

2. TOME R&D Inc.

3. Faculty of Humanity-Oriented Science and Engineering, Kinki University

4. Institute of Mathematics for Industry, Kyushu University

Publisher

Institute of Electronics, Information and Communications Engineers (IEICE)

Subject

Artificial Intelligence,Electrical and Electronic Engineering,Computer Vision and Pattern Recognition,Hardware and Architecture,Software

Reference12 articles.

1. [1] E.R. Berlekamp, J.H. Conway, and R. Guy, Winning Ways for Your Mathematical Plays, 2, Academic Press, 1982.

2. [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. [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. [4] T. Ito, “Abstract collision systems on g-sets,” J. of Math for Industry, vol.2(A), pp.57-73, 2010.

5. [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.

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