A semantics and a logic for Fuzzy Arden Syntax

Detalhes bibliográficos
Autor(a) principal: Gomes, Leandro Rafael Moreira
Data de Publicação: 2021
Outros Autores: Madeira, Alexandre Leite Castro, Barbosa, L. S.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://hdl.handle.net/1822/78051
Resumo: Fuzzy programming languages, such as the Fuzzy Arden Syntax (FAS), are used to describe behaviours which evolve in a fuzzy way and thus cannot be characterized neither by a Boolean outcome nor by a probability distribution. This paper introduces a semantics for FAS, focusing on the weighted parallel interpretation of its conditional statement. The proposed construction is based on the notion of a fuzzy multirelation which associates with each state in a program a fuzzy set of weighted possible evolutions. The latter is parametric on a residuated lattice which models the underlying semantic ‘truth space’. Finally, a family of dynamic logics, equally parametric on the residuated lattice, is introduced to reason about FAS programs
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spelling A semantics and a logic for Fuzzy Arden Syntaxdynamic logicformal semanticsfuzzy reasoningCiências Naturais::Ciências da Computação e da InformaçãoScience & TechnologyFuzzy programming languages, such as the Fuzzy Arden Syntax (FAS), are used to describe behaviours which evolve in a fuzzy way and thus cannot be characterized neither by a Boolean outcome nor by a probability distribution. This paper introduces a semantics for FAS, focusing on the weighted parallel interpretation of its conditional statement. The proposed construction is based on the notion of a fuzzy multirelation which associates with each state in a program a fuzzy set of weighted possible evolutions. The latter is parametric on a residuated lattice which models the underlying semantic ‘truth space’. Finally, a family of dynamic logics, equally parametric on the residuated lattice, is introduced to reason about FAS programsThis work was founded by the ERDF — European Regional Development Fund through the Operational Programme for Competitiveness and Internationalisation — COMPETE 2020 Pro gramme and by National Funds through the Portuguese funding agency, FCT — Fundação para a Ciência e a Tecnologia, within projects POCI-01-0145-FEDER-030947and POCI-01-0145-FEDER-029946SpringerUniversidade do MinhoGomes, Leandro Rafael MoreiraMadeira, Alexandre Leite CastroBarbosa, L. S.20212021-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/1822/78051engGomes, L., Madeira, A. & Barbosa, L.S. A semantics and a logic for Fuzzy Arden Syntax. Soft Comput 25, 6789–6805 (2021). https://doi.org/10.1007/s00500-021-05593-91432-76431433-747910.1007/s00500-021-05593-9https://link.springer.com/article/10.1007/s00500-021-05593-9info: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:RCAAP2023-07-21T12:04:37Zoai:repositorium.sdum.uminho.pt:1822/78051Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T18:54:55.162940Repositório 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 A semantics and a logic for Fuzzy Arden Syntax
title A semantics and a logic for Fuzzy Arden Syntax
spellingShingle A semantics and a logic for Fuzzy Arden Syntax
Gomes, Leandro Rafael Moreira
dynamic logic
formal semantics
fuzzy reasoning
Ciências Naturais::Ciências da Computação e da Informação
Science & Technology
title_short A semantics and a logic for Fuzzy Arden Syntax
title_full A semantics and a logic for Fuzzy Arden Syntax
title_fullStr A semantics and a logic for Fuzzy Arden Syntax
title_full_unstemmed A semantics and a logic for Fuzzy Arden Syntax
title_sort A semantics and a logic for Fuzzy Arden Syntax
author Gomes, Leandro Rafael Moreira
author_facet Gomes, Leandro Rafael Moreira
Madeira, Alexandre Leite Castro
Barbosa, L. S.
author_role author
author2 Madeira, Alexandre Leite Castro
Barbosa, L. S.
author2_role author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Gomes, Leandro Rafael Moreira
Madeira, Alexandre Leite Castro
Barbosa, L. S.
dc.subject.por.fl_str_mv dynamic logic
formal semantics
fuzzy reasoning
Ciências Naturais::Ciências da Computação e da Informação
Science & Technology
topic dynamic logic
formal semantics
fuzzy reasoning
Ciências Naturais::Ciências da Computação e da Informação
Science & Technology
description Fuzzy programming languages, such as the Fuzzy Arden Syntax (FAS), are used to describe behaviours which evolve in a fuzzy way and thus cannot be characterized neither by a Boolean outcome nor by a probability distribution. This paper introduces a semantics for FAS, focusing on the weighted parallel interpretation of its conditional statement. The proposed construction is based on the notion of a fuzzy multirelation which associates with each state in a program a fuzzy set of weighted possible evolutions. The latter is parametric on a residuated lattice which models the underlying semantic ‘truth space’. Finally, a family of dynamic logics, equally parametric on the residuated lattice, is introduced to reason about FAS programs
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-01-01T00:00:00Z
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/1822/78051
url https://hdl.handle.net/1822/78051
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Gomes, L., Madeira, A. & Barbosa, L.S. A semantics and a logic for Fuzzy Arden Syntax. Soft Comput 25, 6789–6805 (2021). https://doi.org/10.1007/s00500-021-05593-9
1432-7643
1433-7479
10.1007/s00500-021-05593-9
https://link.springer.com/article/10.1007/s00500-021-05593-9
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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