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arXiv · 1809.09033

Transfinite Lyndon words

Olivier Carton·Luc Boasson
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Abstract

In this paper, we extend the notion of Lyndon word to transfinite words. We prove two main results. We first show that, given a transfinite word, there exists a unique factorization in Lyndon words that are densely non-increasing, a relaxation of the condition used in the case of finite words. In the annex, we prove that the factorization of a rational word has a special form and that it can be computed from a rational expression describing the word.

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Olivier Carton, Luc Boasson. 2018-09-24. Transfinite Lyndon words. https://doi.org/10.23638/lmcs-16(4%3A9)2020

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