Extended Cellular Automata

Pouya Mehdipour; Mostafa Salarinoghabi; Paula Gibrim

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arXiv · 2502.17065

Extended Cellular Automata

Pouya Mehdipour·Mostafa Salarinoghabi·Paula Gibrim

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Abstract

In this work, the one-dimensional Cellular Automaton is extended to one that involves two sets of symbols and two global rules. As a main result, the Extended Curtis-Hedlund-Lyndon Theorem is demonstrated. Such constructions can be useful in studying complex systems involving two related phenomena and provide a way to their co-study.

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Pouya Mehdipour, Mostafa Salarinoghabi, Paula Gibrim. 2025-02-24. Extended Cellular Automata. https://arxiv.org/abs/2502.17065

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