Publicação
The overlap gap between left-infinite and right-infinite words
| Resumo: | We study ultimate periodicity properties related to overlaps between the suffixes of a left-infinite word λ and the prefixes of a right-infinite word ρ. The main theorem states that the set of minimum lengths of words x and x' such that xλ_n =ρ_n x' or λ_n x=x'ρ_n is finite, where n runs over positive integers and λ_n and ρ_n are respectively the suffix of λ and the prefix of ρ of length n, if and only if λ and ρ are ultimately periodic words of the form λ=...uuv and ρ=wuu... for some finite words u, v and w. |
|---|---|
| Autores principais: | Costa, José Carlos |
| Outros Autores: | Nogueira, Conceição; Teixeira, Maria Lurdes |
| Assunto: | Infinite word Overlap Ultimately periodic Ciências Naturais::Ciências da Computação e da Informação |
| Ano: | 2022 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade do Minho |
| Idioma: | inglês |
| Origem: | RepositóriUM - Universidade do Minho |
| _version_ | 1867439622350438400 |
|---|---|
| author | Costa, José Carlos |
| author2 | Nogueira, Conceição Teixeira, Maria Lurdes |
| author2_role | author author |
| author_facet | Costa, José Carlos Nogueira, Conceição Teixeira, Maria Lurdes |
| author_role | author |
| contributor_name_str_mv | RepositóriUM - Universidade do Minho |
| country_str | PT |
| creators_json_txt | [{\"Person.name\":\"Costa, José Carlos\"},{\"Person.name\":\"Nogueira, Conceição\"},{\"Person.name\":\"Teixeira, Maria Lurdes\"}] |
| datacite.contributors.contributor.contributorName.fl_str_mv | RepositóriUM - Universidade do Minho |
| datacite.creators.creator.creatorName.fl_str_mv | Costa, José Carlos Nogueira, Conceição Teixeira, Maria Lurdes |
| datacite.date.Accepted.fl_str_mv | 2022-01-01T00:00:00Z |
| datacite.date.available.fl_str_mv | 2024-01-08T10:09:11Z |
| datacite.date.embargoed.fl_str_mv | 2024-01-08T10:09:11Z |
| datacite.rights.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| datacite.subjects.subject.fl_str_mv | Infinite word Overlap Ultimately periodic Ciências Naturais::Ciências da Computação e da Informação |
| datacite.titles.title.fl_str_mv | The overlap gap between left-infinite and right-infinite words |
| dc.contributor.none.fl_str_mv | RepositóriUM - Universidade do Minho |
| dc.creator.none.fl_str_mv | Costa, José Carlos Nogueira, Conceição Teixeira, Maria Lurdes |
| dc.date.Accepted.fl_str_mv | 2022-01-01T00:00:00Z |
| dc.date.available.fl_str_mv | 2024-01-08T10:09:11Z |
| dc.date.embargoed.fl_str_mv | 2024-01-08T10:09:11Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | https://hdl.handle.net/1822/87939 |
| dc.language.none.fl_str_mv | eng |
| dc.publisher.none.fl_str_mv | World Scientific Publishing Company |
| dc.rights.none.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| dc.subject.none.fl_str_mv | Infinite word Overlap Ultimately periodic Ciências Naturais::Ciências da Computação e da Informação |
| dc.title.fl_str_mv | The overlap gap between left-infinite and right-infinite words |
| dc.type.none.fl_str_mv | http://purl.org/coar/resource_type/c_6501 |
| description | We study ultimate periodicity properties related to overlaps between the suffixes of a left-infinite word λ and the prefixes of a right-infinite word ρ. The main theorem states that the set of minimum lengths of words x and x' such that xλ_n =ρ_n x' or λ_n x=x'ρ_n is finite, where n runs over positive integers and λ_n and ρ_n are respectively the suffix of λ and the prefix of ρ of length n, if and only if λ and ρ are ultimately periodic words of the form λ=...uuv and ρ=wuu... for some finite words u, v and w. |
| dirty | 0 |
| eu_rights_str_mv | openAccess |
| format | article |
| fulltext.url.fl_str_mv | https://repositorium.uminho.pt/bitstreams/e0812f50-2181-481d-aa8e-62a346780d93/download |
| id | rum_2add9bf04d6e4a7ff4f7faa12e83efa0 |
| identifier.url.fl_str_mv | https://hdl.handle.net/1822/87939 |
| instacron_str | repositorium |
| institution | Universidade do Minho |
| instname_str | Universidade do Minho |
| language | eng |
| network_acronym_str | rum |
| network_name_str | RepositóriUM - Universidade do Minho |
| oai_identifier_str | oai:repositorium.uminho.pt:1822/87939 |
| organization_str_mv | urn:organizationAcronym:repositorium |
| person_str_mv | Costa, José Carlos Nogueira, Conceição Teixeira, Maria Lurdes |
| publishDate | 2022 |
| publisher.none.fl_str_mv | World Scientific Publishing Company |
| reponame_str | RepositóriUM - Universidade do Minho |
| repository_id_str | urn:repositoryAcronym:rum |
| service_str_mv | urn:repositoryAcronym:rum |
| spelling | engWorld Scientific Publishing CompanyporWe study ultimate periodicity properties related to overlaps between the suffixes of a left-infinite word λ and the prefixes of a right-infinite word ρ. The main theorem states that the set of minimum lengths of words x and x' such that xλ_n =ρ_n x' or λ_n x=x'ρ_n is finite, where n runs over positive integers and λ_n and ρ_n are respectively the suffix of λ and the prefix of ρ of length n, if and only if λ and ρ are ultimately periodic words of the form λ=...uuv and ρ=wuu... for some finite words u, v and w.application/pdfporThe overlap gap between left-infinite and right-infinite wordsCosta, José CarlosNogueira, ConceiçãoTeixeira, Maria LurdesHostingInstitutionOrganizationalRepositóriUM - Universidade do Minhoe-mailmailto:repositorium@usdb.uminho.ptrepositorium@usdb.uminho.ptCITATIONCosta, J. C., Nogueira, C., & Teixeira, M. L. (2022). The Overlap Gap Between Left-Infinite and Right-Infinite Words. International Journal of Foundations of Computer Science. World Scientific Pub Co Pte Ltd. http://doi.org/10.1142/s0129054121500350ISSNIsPartOf0129-0541DOIIsPartOf10.1142/S01290541215003502024-01-08T10:09:11Z20222022-01-01T00:00:00ZHandlehttps://hdl.handle.net/1822/87939http://purl.org/coar/access_right/c_abf2open accessInfinite wordOverlapUltimately periodichttp://www.oecd.org/science/inno/38235147.pdfFields of Science and Technology (FOS)Ciências Naturais::Ciências da Computação e da Informação310917 bytesliteraturehttp://purl.org/coar/resource_type/c_6501journal articlehttp://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://repositorium.uminho.pt/bitstreams/e0812f50-2181-481d-aa8e-62a346780d93/download |
| spellingShingle | The overlap gap between left-infinite and right-infinite words Costa, José Carlos Infinite word Overlap Ultimately periodic Ciências Naturais::Ciências da Computação e da Informação |
| status | SINGLETON |
| subject.fl_str_mv | Infinite word Overlap Ultimately periodic |
| subject.other.fl_str_mv | Ciências Naturais::Ciências da Computação e da Informação |
| title | The overlap gap between left-infinite and right-infinite words |
| title_full | The overlap gap between left-infinite and right-infinite words |
| title_fullStr | The overlap gap between left-infinite and right-infinite words |
| title_full_unstemmed | The overlap gap between left-infinite and right-infinite words |
| title_short | The overlap gap between left-infinite and right-infinite words |
| title_sort | The overlap gap between left-infinite and right-infinite words |
| topic | Infinite word Overlap Ultimately periodic Ciências Naturais::Ciências da Computação e da Informação |
| topic_facet | Infinite word Overlap Ultimately periodic Ciências Naturais::Ciências da Computação e da Informação |
| url | https://hdl.handle.net/1822/87939 |
| visible | 1 |