Discrete duality for TSH-algebras

Autores
Figallo, Aldo Victorio; Pelaitay, Gustavo Andrés; Sanza, Claudia
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this article, we continue the study of tense symmetric Heyting algebras (or TSH-algebras). These algebras constitute a generalization of tense algebras. In particular, we describe a discrete duality for TSH-algebras bearing in mind the results indicated by Or lowska and Rewitzky in [E. Orlowska and I. Rewitzky, Discrete Dualities for Heyting Algebras with Operators, Fund. Inform. 81 (2007), no. 1-3, 275-295] for Heyting algebras. In addition, we introduce a propositional calculus and prove this calculus has TSH-algebras as algebraic counterpart. Finally, the duality mentioned above allowed us to show the completeness theorem for this calculus.
Fil: Figallo, Aldo Victorio. Universidad Nacional del Sur. Departamento de Matemática; Argentina. Universidad Nacional de San Juan. Facultad de Filosofía, Humanidades y Artes. Instituto de Ciencias Básicas; Argentina
Fil: Pelaitay, Gustavo Andrés. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Juan; Argentina. Universidad Nacional del Sur. Departamento de Matemática; Argentina. Universidad Nacional de San Juan. Facultad de Filosofía, Humanidades y Artes. Instituto de Ciencias Básicas; Argentina
Fil: Sanza, Claudia. Universidad Nacional del Sur. Departamento de Matemática; Argentina. Universidad Nacional de San Juan. Facultad de Filosofía, Humanidades y Artes. Instituto de Ciencias Básicas; Argentina
Materia
SYMMETRIC HEYTING ALGEBRAS
TENSE OPERATORS
FRAMES
DISCRETE DUALITY
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/158619
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/158619
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Discrete duality for TSH-algebrasFigallo, Aldo VictorioPelaitay, Gustavo AndrésSanza, ClaudiaSYMMETRIC HEYTING ALGEBRASTENSE OPERATORSFRAMESDISCRETE DUALITYhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this article, we continue the study of tense symmetric Heyting algebras (or TSH-algebras). These algebras constitute a generalization of tense algebras. In particular, we describe a discrete duality for TSH-algebras bearing in mind the results indicated by Or lowska and Rewitzky in [E. Orlowska and I. Rewitzky, Discrete Dualities for Heyting Algebras with Operators, Fund. Inform. 81 (2007), no. 1-3, 275-295] for Heyting algebras. In addition, we introduce a propositional calculus and prove this calculus has TSH-algebras as algebraic counterpart. Finally, the duality mentioned above allowed us to show the completeness theorem for this calculus.Fil: Figallo, Aldo Victorio. Universidad Nacional del Sur. Departamento de Matemática; Argentina. Universidad Nacional de San Juan. Facultad de Filosofía, Humanidades y Artes. Instituto de Ciencias Básicas; ArgentinaFil: Pelaitay, Gustavo Andrés. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Juan; Argentina. Universidad Nacional del Sur. Departamento de Matemática; Argentina. Universidad Nacional de San Juan. Facultad de Filosofía, Humanidades y Artes. Instituto de Ciencias Básicas; ArgentinaFil: Sanza, Claudia. Universidad Nacional del Sur. Departamento de Matemática; Argentina. Universidad Nacional de San Juan. Facultad de Filosofía, Humanidades y Artes. Instituto de Ciencias Básicas; ArgentinaKorean Mathematical Society2012-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/158619Figallo, Aldo Victorio; Pelaitay, Gustavo Andrés; Sanza, Claudia; Discrete duality for TSH-algebras; Korean Mathematical Society; Communications of the Korean Mathematical Society; 27; 1; 8-2012; 47-560304-99142234-3008CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.4134/CKMS.2012.27.1.047info:eu-repo/semantics/altIdentifier/url/http://koreascience.or.kr/article/JAKO201208040010622.pageinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-05T09:46:55Zoai:ri.conicet.gov.ar:11336/158619instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-11-05 09:46:56.044CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Discrete duality for TSH-algebras
title Discrete duality for TSH-algebras
spellingShingle Discrete duality for TSH-algebras
Figallo, Aldo Victorio
SYMMETRIC HEYTING ALGEBRAS
TENSE OPERATORS
FRAMES
DISCRETE DUALITY
title_short Discrete duality for TSH-algebras
title_full Discrete duality for TSH-algebras
title_fullStr Discrete duality for TSH-algebras
title_full_unstemmed Discrete duality for TSH-algebras
title_sort Discrete duality for TSH-algebras
dc.creator.none.fl_str_mv Figallo, Aldo Victorio
Pelaitay, Gustavo Andrés
Sanza, Claudia
author Figallo, Aldo Victorio
author_facet Figallo, Aldo Victorio
Pelaitay, Gustavo Andrés
Sanza, Claudia
author_role author
author2 Pelaitay, Gustavo Andrés
Sanza, Claudia
author2_role author
author
dc.subject.none.fl_str_mv SYMMETRIC HEYTING ALGEBRAS
TENSE OPERATORS
FRAMES
DISCRETE DUALITY
topic SYMMETRIC HEYTING ALGEBRAS
TENSE OPERATORS
FRAMES
DISCRETE DUALITY
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this article, we continue the study of tense symmetric Heyting algebras (or TSH-algebras). These algebras constitute a generalization of tense algebras. In particular, we describe a discrete duality for TSH-algebras bearing in mind the results indicated by Or lowska and Rewitzky in [E. Orlowska and I. Rewitzky, Discrete Dualities for Heyting Algebras with Operators, Fund. Inform. 81 (2007), no. 1-3, 275-295] for Heyting algebras. In addition, we introduce a propositional calculus and prove this calculus has TSH-algebras as algebraic counterpart. Finally, the duality mentioned above allowed us to show the completeness theorem for this calculus.
Fil: Figallo, Aldo Victorio. Universidad Nacional del Sur. Departamento de Matemática; Argentina. Universidad Nacional de San Juan. Facultad de Filosofía, Humanidades y Artes. Instituto de Ciencias Básicas; Argentina
Fil: Pelaitay, Gustavo Andrés. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Juan; Argentina. Universidad Nacional del Sur. Departamento de Matemática; Argentina. Universidad Nacional de San Juan. Facultad de Filosofía, Humanidades y Artes. Instituto de Ciencias Básicas; Argentina
Fil: Sanza, Claudia. Universidad Nacional del Sur. Departamento de Matemática; Argentina. Universidad Nacional de San Juan. Facultad de Filosofía, Humanidades y Artes. Instituto de Ciencias Básicas; Argentina
description In this article, we continue the study of tense symmetric Heyting algebras (or TSH-algebras). These algebras constitute a generalization of tense algebras. In particular, we describe a discrete duality for TSH-algebras bearing in mind the results indicated by Or lowska and Rewitzky in [E. Orlowska and I. Rewitzky, Discrete Dualities for Heyting Algebras with Operators, Fund. Inform. 81 (2007), no. 1-3, 275-295] for Heyting algebras. In addition, we introduce a propositional calculus and prove this calculus has TSH-algebras as algebraic counterpart. Finally, the duality mentioned above allowed us to show the completeness theorem for this calculus.
publishDate 2012
dc.date.none.fl_str_mv 2012-08
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/158619
Figallo, Aldo Victorio; Pelaitay, Gustavo Andrés; Sanza, Claudia; Discrete duality for TSH-algebras; Korean Mathematical Society; Communications of the Korean Mathematical Society; 27; 1; 8-2012; 47-56
0304-9914
2234-3008
CONICET Digital
CONICET
url http://hdl.handle.net/11336/158619
identifier_str_mv Figallo, Aldo Victorio; Pelaitay, Gustavo Andrés; Sanza, Claudia; Discrete duality for TSH-algebras; Korean Mathematical Society; Communications of the Korean Mathematical Society; 27; 1; 8-2012; 47-56
0304-9914
2234-3008
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.4134/CKMS.2012.27.1.047
info:eu-repo/semantics/altIdentifier/url/http://koreascience.or.kr/article/JAKO201208040010622.page
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Korean Mathematical Society
publisher.none.fl_str_mv Korean Mathematical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1847977125290704896
score 13.087074

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