Linear cellular automata and Fischer automata

被引：11
|
作者：
Sutner, K [1 ]
机构：
[1] Carnegie Mellon Univ, Pittsburgh, PA 15213 USA
来源：
PARALLEL COMPUTING | 1997年 / 23卷 / 11期
关键词：
cellular automata; minimal automata; permutation automata;
D O I：
10.1016/S0167-8191(97)00080-X
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We study the sizes of minimal finite state machines associated with linear cellular automata. In particular, we construct a class of binary linear cellular automata whose corresponding minimal automata exhibit full exponential blow-up. These cellular automata have Hamming distance 1 to a permutation automaton. Moreover, the corresponding minimal Fischer automata as well as the minimal DFAs have maximal complexity. By contrast, the complexity of higher iterates of a cellular automaton always stays below the theoretical upper bound. (C) 1997 Elsevier Science B.V.
引用
收藏
页码：1613 / 1634
页数：22
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