# Computational Hierarchy of Elementary Cellular Automata

@article{Hudcov2021ComputationalHO, title={Computational Hierarchy of Elementary Cellular Automata}, author={Barbora Hudcov{\'a} and Tomas Mikolov}, journal={ArXiv}, year={2021}, volume={abs/2108.00415} }

The complexity of cellular automata is traditionally measured by their computational capacity. However, it is difficult to choose a challenging set of computational tasks suitable for the parallel nature of such systems. We study the ability of automata to emulate one another, and we use this notion to define such a set of naturally emerging tasks. We present the results for elementary cellular automata, although the core ideas can be extended to other computational systems. We compute a graph… Expand

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