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Shifts of k-nested sequences

Abstract : We introduce a new class of subshifts of sequences, called k-graph shifts, which expresses nested constraints on k symbols instead of on two symbols like for Dyck shifts. These shifts share many properties with Markov-Dyck shifts but are generally not conjugate to them. We prove that they are conjugate to sofic-Dyck shifts. We give a computation of the multivariate zeta function for this class of shifts.
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Contributor : Marie-Pierre Béal <>
Submitted on : Friday, May 11, 2018 - 3:19:06 PM
Last modification on : Wednesday, February 26, 2020 - 7:06:07 PM
Long-term archiving on: : Tuesday, September 25, 2018 - 11:25:21 AM

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  • HAL Id : hal-01790002, version 1

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Marie-Pierre Béal, Pavel Heller. Shifts of k-nested sequences . Theoretical Computer Science, Elsevier, 2016, 658, pp.18-26. ⟨hal-01790002⟩

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