We conceive finite and cellular automata as dynamical systems on zero-dimensional spaces and show that they are incomparable in the sense of factorization. Next we study the complexity of languages generated by zero-dimensional systems on clopen partitions of the state space. While finite automata generate only regular languages, cellular automata generate non-deterministic polynomial languages which may be non-regular.
CITATION STYLE
Kůrka, P. (1994). A comparison of finite and cellular automata. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 841 LNCS, pp. 484–493). Springer Verlag. https://doi.org/10.1007/3-540-58338-6_95
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