Two-way automata and transducers with planar behaviours are aperiodic
Formal Languages and Automata Theory
2023-07-21 v1
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.
Keywords
Cite
@article{arxiv.2307.11057,
title = {Two-way automata and transducers with planar behaviours are aperiodic},
author = {Lê Thành Dũng Nguyên and Camille Noûs and Cécilia Pradic},
journal= {arXiv preprint arXiv:2307.11057},
year = {2023}
}
Comments
18 pages, DMTCS submission