Automaticity of double sequences generated by one-dimensional linear cellular automata

Automaticity of double sequences generated by one-dimensional linear cellular automata

We give a complete answer to the question whether a double sequence that is generated by a one-dimensional linear cellular automaton, and whose states are integers modulo m, is k-automatic or not.

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Veröffentlicht in:Theoretical computer science 1997-11, Vol.188 (1), p.195-209
Hauptverfasser: Allouche, J.-P, von Haeseler, F, Peitgen, H.-O, Petersen, A, Skordev, G
Format: Artikel
Sprache:eng
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Zusammenfassung:We give a complete answer to the question whether a double sequence that is generated by a one-dimensional linear cellular automaton, and whose states are integers modulo m, is k-automatic or not.
ISSN:0304-3975
1879-2294
DOI:10.1016/S0304-3975(96)00298-8