Combinatorics on Words Basics

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F21%3A00353328" target="_blank" >RIV/68407700:21240/21:00353328 - isvavai.cz</a>

Alternative codes found

RIV/00216208:11320/21:10438501

Result on the web

<a href="https://www.isa-afp.org/entries/Combinatorics_Words.html" target="_blank" >https://www.isa-afp.org/entries/Combinatorics_Words.html</a>

DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Combinatorics on Words Basics

Original language description

We formalize basics of Combinatorics on Words. This is an extension of existing theories on lists. We provide additional properties related to prefix, suffix, factor, length and rotation. The topics include prefix and suffix comparability, mismatch, word power, total and reversed morphisms, border, periods, primitivity and roots. We also formalize basic, mostly folklore results related to word equations: equidivisibility, commutation and conjugation. Slightly advanced properties include the Periodicity lemma (often cited as the Fine and Wilf theorem) and the variant of the Lyndon-Schützenberger theorem for words. We support the algebraic point of view which sees words as generators of submonoids of a free monoid. This leads to the concepts of the (free) hull, the (free) basis (or code).

Czech name

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Czech description

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Type

J_ost - Miscellaneous article in a specialist periodical

CEP classification

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OECD FORD branch

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project

<a href="/en/project/GA20-20621S" target="_blank" >GA20-20621S: Combinatorics on words formalization</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2021

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Archive of Formal Proofs

ISSN

2150-914X

e-ISSN

2150-914X

Volume of the periodical

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Issue of the periodical within the volume

May

Country of publishing house

DE - GERMANY

Number of pages

135

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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