7 citations · 7 across the 3 of their papers we have counts for
3 papers
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…
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 $…
A generalization of cellular automata over groups
A. Castillo-Ramirez, M. Sanchez-Alvarez, A. Vazquez-Aceves +1
Let be a group and let be a finite set with at least two elements. A cellular automaton (CA) over is a function defined via a finite memory set $S \s…