Non-Uniform Cellular Automata: classes, dynamics, and decidability

Details Non-Uniform Cellular Automata: classes, dynamics, and decidability Non-Uniform Cellular Automata: classes, dynamics, and decidability

2011-07-26

arxiv.org/abs/1107.5228v1

Computer Science

Formal Languages and Automata Theory

Paper submitted to an international journal on June 9, 2011. This is an extended and improved version of the conference paper:

Scientific paper

The dynamical behavior of non-uniform cellular automata is compared with the one of classical cellular automata. Several differences and similarities are pointed out by a series of examples. Decidability of basic properties like surjectivity and injectivity is also established. The final part studies a strong form of equicontinuity property specially suited for non-uniform cellular automata.

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