Abstract
A number-conserving cellular automaton (NCCA) is a cellular automaton such that all states of cells are represented by integers and the total of the numbers (states) of all cells of a global configuration is conserved throughout its computing process. It can be thought to be a kind of modelization of the physical conservation law of mass or energy. In this paper, we show a sufficient condition for a Moore neighborhood CA to be number-conserving. According to this condition, the local function of rotation-symmetric NCCA is expressed by a summation of quaternary functions. On this framework, we construct a 6-state logically universal NCCA. © 2008 Springer-Verlag Berlin Heidelberg.
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CITATION STYLE
Tanimoto, N., & Imai, K. (2008). A construction method of moore neighborhood number-conserving cellular automata. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5191 LNCS, pp. 244–251). https://doi.org/10.1007/978-3-540-79992-4_31
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