On real-time cellular automata and trellis automata
Acta Informatica
A six-state minimal time solution to the firing squad synchronization problem
Theoretical Computer Science
Signals in one-dimensional cellular automata
Theoretical Computer Science - Special issue: cellular automata
Generation of Primes by a One-Dimensional Real-Time Iterative Array
Journal of the ACM (JACM)
A Time Hierarchy for Bounded One-Way Cellular Automata
MFCS '01 Proceedings of the 26th International Symposium on Mathematical Foundations of Computer Science
Theory of Self-Reproducing Automata
Theory of Self-Reproducing Automata
Simulations between multi-dimensional deterministic and alternating cellular automata
Fundamenta Informaticae - Special issue on cellular automata
Simulations Between Multi-dimensional Deterministic and Alternating Cellular Automata
Fundamenta Informaticae - Cellular Automata
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We investigate how increasing the dimension of the array can help to draw signals on cellular automata. We show the existence of a gap of constructible signals in any dimension. We exhibit two cellular automata in dimension 2 to show that increasing the dimension allows to reduce the number of states required for some constructions.