Well-Pointed Coalgebras
Autor(a) principal: | |
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Data de Publicação: | 2013 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10316/43898 https://doi.org/10.2168/LMCS-9(3:2)2013 |
Resumo: | For endofunctors of varieties preserving intersections, a new description of the final coalgebra and the initial algebra is presented: the former consists of all well-pointed coalgebras. These are the pointed coalgebras having no proper subobject and no proper quotient. The initial algebra consists of all well-pointed coalgebras that are well-founded in the sense of Osius and Taylor. And initial algebras are precisely the final well-founded coalgebras. Finally, the initial iterative algebra consists of all finite well-pointed coalgebras. Numerous examples are discussed e.g. automata, graphs, and labeled transition systems. |
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7160 |
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Well-Pointed CoalgebrasFor endofunctors of varieties preserving intersections, a new description of the final coalgebra and the initial algebra is presented: the former consists of all well-pointed coalgebras. These are the pointed coalgebras having no proper subobject and no proper quotient. The initial algebra consists of all well-pointed coalgebras that are well-founded in the sense of Osius and Taylor. And initial algebras are precisely the final well-founded coalgebras. Finally, the initial iterative algebra consists of all finite well-pointed coalgebras. Numerous examples are discussed e.g. automata, graphs, and labeled transition systems.Logical Methods in Computer Science e. V.2013-08-09info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/43898http://hdl.handle.net/10316/43898https://doi.org/10.2168/LMCS-9(3:2)2013https://doi.org/10.2168/LMCS-9(3:2)2013enghttps://arxiv.org/pdf/1305.0576.pdfAdámek, JiříMilius, StefanMoss, Lawrence S.Sousa, Lurdesinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2021-09-30T09:59:15Zoai:estudogeral.uc.pt:10316/43898Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:53:29.757591Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Well-Pointed Coalgebras |
title |
Well-Pointed Coalgebras |
spellingShingle |
Well-Pointed Coalgebras Adámek, Jiří |
title_short |
Well-Pointed Coalgebras |
title_full |
Well-Pointed Coalgebras |
title_fullStr |
Well-Pointed Coalgebras |
title_full_unstemmed |
Well-Pointed Coalgebras |
title_sort |
Well-Pointed Coalgebras |
author |
Adámek, Jiří |
author_facet |
Adámek, Jiří Milius, Stefan Moss, Lawrence S. Sousa, Lurdes |
author_role |
author |
author2 |
Milius, Stefan Moss, Lawrence S. Sousa, Lurdes |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Adámek, Jiří Milius, Stefan Moss, Lawrence S. Sousa, Lurdes |
description |
For endofunctors of varieties preserving intersections, a new description of the final coalgebra and the initial algebra is presented: the former consists of all well-pointed coalgebras. These are the pointed coalgebras having no proper subobject and no proper quotient. The initial algebra consists of all well-pointed coalgebras that are well-founded in the sense of Osius and Taylor. And initial algebras are precisely the final well-founded coalgebras. Finally, the initial iterative algebra consists of all finite well-pointed coalgebras. Numerous examples are discussed e.g. automata, graphs, and labeled transition systems. |
publishDate |
2013 |
dc.date.none.fl_str_mv |
2013-08-09 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10316/43898 http://hdl.handle.net/10316/43898 https://doi.org/10.2168/LMCS-9(3:2)2013 https://doi.org/10.2168/LMCS-9(3:2)2013 |
url |
http://hdl.handle.net/10316/43898 https://doi.org/10.2168/LMCS-9(3:2)2013 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
https://arxiv.org/pdf/1305.0576.pdf |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
Logical Methods in Computer Science e. V. |
publisher.none.fl_str_mv |
Logical Methods in Computer Science e. V. |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
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1799133821608656896 |