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cs.FL2026
On the order of lazy cellular automata
Edgar Alcalá-Arroyo, Alonso Castillo-Ramirez
We study the most elementary family of cellular automata defined over an arbitrary group universe and an alphabet : the lazy cellular automata, which act as the identity on…
cs.FL2026
A categorical framework for cellular automata
A. Castillo-Ramirez, A. Vazquez-Aceves, A. Zaldivar-Corichi
This paper proposes a generalized framework for cellular automata using the language of category theory, extending the classical definition beyond set-theoretic constraints. For an…