Lyndon words

 

Title: Lyndon words
Authors: Štěpán Holub and Štěpán Starosta
Submission date: 2021-05-24
Abstract: Lyndon words are words lexicographically minimal in their conjugacy class. We formalize their basic properties and characterizations, in particular the concepts of the longest Lyndon suffix and the Lyndon factorization. Most of the work assumes a fixed lexicographical order. Nevertheless we also define the smallest relation guaranteeing lexicographical minimality of a given word (in its conjugacy class).
BibTeX:
@article{Combinatorics_Words_Lyndon-AFP,
  author  = {Štěpán Holub and Štěpán Starosta},
  title   = {Lyndon words},
  journal = {Archive of Formal Proofs},
  month   = may,
  year    = 2021,
  note    = {\url{https://isa-afp.org/entries/Combinatorics_Words_Lyndon.html},
            Formal proof development},
  ISSN    = {2150-914x},
}
License: BSD License
Depends on: Combinatorics_Words, Szpilrajn