2 papers
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…
nlin.CG2025
Categorical products of cellular automata
Alonso Castillo-Ramirez, Alejandro Vazquez-Aceves, Angel Zaldivar-Corichi
We study two categories of cellular automata. First, for any group , we consider the category whose objects are configuration spaces of the form , where $…