Decidable problems in substitution shifts

Published 29 Dec 2021 in math.DS and cs.FL | (2112.14499v8)

Abstract: In this paper, we investigate the structure of the most general kind of substitution shifts, including non-minimal ones, and allowing erasing morphisms. We prove the decidability of many properties of these morphisms with respect to the shift space generated by iteration, such as aperiodicity, recognizability and (under an additional assumption) irreducibility, or minimality.

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