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Surjective Span 6 Cellular Automata (2306.06562v1)
Published 11 Jun 2023 in cs.FL
Abstract: Using FSA and the construction algorithm, we generated a list of surjective span 6 cellular automata as a modest sample for our FDense program. We wanted to experimentally quantify Mike Boyle's conjecture which states that the jointly periodic points of one-dimensional cellular automata are dense. Furthermore, we wanted to know if the cardinality of cellular automata on N symbols is greater than or equal to the square root of N.