Transfinite Lyndon words

Transfinite Lyndon words

Blog Article

In this paper, we extend the notion Vitamin B 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 Institutionnel - Triathlon Sherbrooke - Enfant factorization of a rational word has a special form and that it can be computed from a rational expression describing the word.