Transfinite Lyndon words

Transfinite Lyndon words

Blog Article

In this paper, we extend the notion of Lyndon word to transfinite words.We prove two main Mittens 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 disposable underwear it can be computed from a rational expression describing the word.