Renormalization of Cellular Automata and
β Scribed by E. Edlund; M. Nilsson Jacobi
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 566 KB
- Volume
- 139
- Category
- Article
- ISSN
- 0022-4715
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π SIMILAR VOLUMES
We rewrite some concepts in the theory of one-dimensional periodic cellular automata in the language of finite fields. The state space of an automaton with N cell and q = pZ possible values for each cell (p prime) is identified with the finite field of qU elements, represented by means of a normal b
We study a classiΓΏcation of cellular automata based on the Turing degree of the orbits of the automaton. The di culty of determining the membership of a cellular automaton in any one of these classes is characterized in the arithmetical hierarchy.