Olivier Carton ; Luc Boasson - Transfinite Lyndon words

lmcs:4851 - Logical Methods in Computer Science, November 10, 2020, Volume 16, Issue 4 - https://doi.org/10.23638/LMCS-16(4:9)2020
Transfinite Lyndon words

Authors: Olivier Carton ; Luc Boasson

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.


Volume: Volume 16, Issue 4
Published on: November 10, 2020
Accepted on: September 4, 2020
Submitted on: September 25, 2018
Keywords: Computer Science - Formal Languages and Automata Theory


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