Cellular Automata as Algebraic Systems
نویسنده
چکیده
Infinite cellular automata have been studied mostly using empirical and sta tistical techniques, with some combinatorial analysis. Here we show how concepts of universal algebra such as subdirect decomposition and chains of varieties can be applied to their study. Cellular automata with ultimately periodic behavior are shown to correspond to varieties of groupoids. Relat ionships between these varieties are analyzed.
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عنوان ژورنال:
- Complex Systems
دوره 6 شماره
صفحات -
تاریخ انتشار 1992