12 citations · 82 across the 30 of their papers we have counts for
3 papers · 1 filter
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…
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…
Complete Simulation of Automata Networks
Florian Bridoux, Alonso Castillo-Ramirez, Maximilien Gadouleau
Consider a finite set and an integer . This paper studies the concept of complete simulation in the context of semigroups of transformations of , also known as f…