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Two-way automata and transducers with planar behaviours are aperiodic

Published 20 Jul 2023 in cs.FL | (2307.11057v1)

Abstract: We consider a notion of planarity for two-way finite automata and transducers, inspired by Temperley-Lieb monoids of planar diagrams. We show that this restriction captures star-free languages and first-order transductions.

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