On the homology language of HDA models of transition systems
Autor(a) principal: | |
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Data de Publicação: | 2023 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | https://hdl.handle.net/1822/87018 |
Resumo: | Given a transition system with an independence relation on the alphabet of labels, one can associate with it a usually very large symmetric higher-dimensional automaton. The purpose of this paper is to show that by choosing an acyclic relation whose symmetric closure is the given independence relation, it is possible to construct a much smaller nonsymmetric HDA with the same homology language. |
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On the homology language of HDA models of transition systemsHigher-dimensional automataTransition systemHomology languageCiências Naturais::MatemáticasGiven a transition system with an independence relation on the alphabet of labels, one can associate with it a usually very large symmetric higher-dimensional automaton. The purpose of this paper is to show that by choosing an acyclic relation whose symmetric closure is the given independence relation, it is possible to construct a much smaller nonsymmetric HDA with the same homology language.FCT -Fundação para a Ciência e a Tecnologia(UIDB/00013/2020)SpringerUniversidade do MinhoKahl, Thomas2023-05-042023-05-04T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/1822/87018engKahl, T. (2023, May 4). On the homology language of HDA models of transition systems. Journal of Applied and Computational Topology. Springer Science and Business Media LLC. http://doi.org/10.1007/s41468-023-00120-12367-17262367-173410.1007/s41468-023-00120-1https://doi.org/10.1007/s41468-023-00120-1info: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:RCAAP2023-10-21T01:27:59Zoai:repositorium.sdum.uminho.pt:1822/87018Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:39:08.099326Repositório 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 |
On the homology language of HDA models of transition systems |
title |
On the homology language of HDA models of transition systems |
spellingShingle |
On the homology language of HDA models of transition systems Kahl, Thomas Higher-dimensional automata Transition system Homology language Ciências Naturais::Matemáticas |
title_short |
On the homology language of HDA models of transition systems |
title_full |
On the homology language of HDA models of transition systems |
title_fullStr |
On the homology language of HDA models of transition systems |
title_full_unstemmed |
On the homology language of HDA models of transition systems |
title_sort |
On the homology language of HDA models of transition systems |
author |
Kahl, Thomas |
author_facet |
Kahl, Thomas |
author_role |
author |
dc.contributor.none.fl_str_mv |
Universidade do Minho |
dc.contributor.author.fl_str_mv |
Kahl, Thomas |
dc.subject.por.fl_str_mv |
Higher-dimensional automata Transition system Homology language Ciências Naturais::Matemáticas |
topic |
Higher-dimensional automata Transition system Homology language Ciências Naturais::Matemáticas |
description |
Given a transition system with an independence relation on the alphabet of labels, one can associate with it a usually very large symmetric higher-dimensional automaton. The purpose of this paper is to show that by choosing an acyclic relation whose symmetric closure is the given independence relation, it is possible to construct a much smaller nonsymmetric HDA with the same homology language. |
publishDate |
2023 |
dc.date.none.fl_str_mv |
2023-05-04 2023-05-04T00:00:00Z |
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 |
https://hdl.handle.net/1822/87018 |
url |
https://hdl.handle.net/1822/87018 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Kahl, T. (2023, May 4). On the homology language of HDA models of transition systems. Journal of Applied and Computational Topology. Springer Science and Business Media LLC. http://doi.org/10.1007/s41468-023-00120-1 2367-1726 2367-1734 10.1007/s41468-023-00120-1 https://doi.org/10.1007/s41468-023-00120-1 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Springer |
publisher.none.fl_str_mv |
Springer |
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 |
instname_str |
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 |
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1799133651555844096 |