The finite model property for the variety of Heyting algebras with successor
- Autores
- Castiglioni, José Luis; San Martín, Hernán Javier
- Año de publicación
- 2012
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- The finite model property of the variety of S-algebras was proved by X. Caicedo using Kripke model techniques of the associated calculus. A more algebraic proof, but still strongly based on Kripke model ideas, was given by Muravitskii. In this article we give a purely algebraic proof for the finite model property which is strongly based on the fact that for every element x in a S-algebra the interval [x, S(x)] is a Boolean lattice.
Facultad de Ciencias Exactas
Consejo Nacional de Investigaciones Científicas y Técnicas - Materia
-
Matemática
Successor operator
Finite model property
Heyting algebras - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by-nc-sa/4.0/
- Repositorio
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/95933
Ver los metadatos del registro completo
id |
SEDICI_eead4055451750c59988e7c7b688d27a |
---|---|
oai_identifier_str |
oai:sedici.unlp.edu.ar:10915/95933 |
network_acronym_str |
SEDICI |
repository_id_str |
1329 |
network_name_str |
SEDICI (UNLP) |
spelling |
The finite model property for the variety of Heyting algebras with successorCastiglioni, José LuisSan Martín, Hernán JavierMatemáticaSuccessor operatorFinite model propertyHeyting algebrasThe finite model property of the variety of S-algebras was proved by X. Caicedo using Kripke model techniques of the associated calculus. A more algebraic proof, but still strongly based on Kripke model ideas, was given by Muravitskii. In this article we give a purely algebraic proof for the finite model property which is strongly based on the fact that for every element x in a S-algebra the interval [x, S(x)] is a Boolean lattice.Facultad de Ciencias ExactasConsejo Nacional de Investigaciones Científicas y Técnicas2012-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf91-96http://sedici.unlp.edu.ar/handle/10915/95933enginfo:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/9200info:eu-repo/semantics/altIdentifier/url/http://inmabb.criba.edu.ar/revuma/revuma.php?p=toc/vol53info:eu-repo/semantics/altIdentifier/hdl/11336/9200info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:20:35Zoai:sedici.unlp.edu.ar:10915/95933Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:20:36.099SEDICI (UNLP) - Universidad Nacional de La Platafalse |
dc.title.none.fl_str_mv |
The finite model property for the variety of Heyting algebras with successor |
title |
The finite model property for the variety of Heyting algebras with successor |
spellingShingle |
The finite model property for the variety of Heyting algebras with successor Castiglioni, José Luis Matemática Successor operator Finite model property Heyting algebras |
title_short |
The finite model property for the variety of Heyting algebras with successor |
title_full |
The finite model property for the variety of Heyting algebras with successor |
title_fullStr |
The finite model property for the variety of Heyting algebras with successor |
title_full_unstemmed |
The finite model property for the variety of Heyting algebras with successor |
title_sort |
The finite model property for the variety of Heyting algebras with successor |
dc.creator.none.fl_str_mv |
Castiglioni, José Luis San Martín, Hernán Javier |
author |
Castiglioni, José Luis |
author_facet |
Castiglioni, José Luis San Martín, Hernán Javier |
author_role |
author |
author2 |
San Martín, Hernán Javier |
author2_role |
author |
dc.subject.none.fl_str_mv |
Matemática Successor operator Finite model property Heyting algebras |
topic |
Matemática Successor operator Finite model property Heyting algebras |
dc.description.none.fl_txt_mv |
The finite model property of the variety of S-algebras was proved by X. Caicedo using Kripke model techniques of the associated calculus. A more algebraic proof, but still strongly based on Kripke model ideas, was given by Muravitskii. In this article we give a purely algebraic proof for the finite model property which is strongly based on the fact that for every element x in a S-algebra the interval [x, S(x)] is a Boolean lattice. Facultad de Ciencias Exactas Consejo Nacional de Investigaciones Científicas y Técnicas |
description |
The finite model property of the variety of S-algebras was proved by X. Caicedo using Kripke model techniques of the associated calculus. A more algebraic proof, but still strongly based on Kripke model ideas, was given by Muravitskii. In this article we give a purely algebraic proof for the finite model property which is strongly based on the fact that for every element x in a S-algebra the interval [x, S(x)] is a Boolean lattice. |
publishDate |
2012 |
dc.date.none.fl_str_mv |
2012-06 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo 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://sedici.unlp.edu.ar/handle/10915/95933 |
url |
http://sedici.unlp.edu.ar/handle/10915/95933 |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/9200 info:eu-repo/semantics/altIdentifier/url/http://inmabb.criba.edu.ar/revuma/revuma.php?p=toc/vol53 info:eu-repo/semantics/altIdentifier/hdl/11336/9200 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) |
dc.format.none.fl_str_mv |
application/pdf 91-96 |
dc.source.none.fl_str_mv |
reponame:SEDICI (UNLP) instname:Universidad Nacional de La Plata instacron:UNLP |
reponame_str |
SEDICI (UNLP) |
collection |
SEDICI (UNLP) |
instname_str |
Universidad Nacional de La Plata |
instacron_str |
UNLP |
institution |
UNLP |
repository.name.fl_str_mv |
SEDICI (UNLP) - Universidad Nacional de La Plata |
repository.mail.fl_str_mv |
alira@sedici.unlp.edu.ar |
_version_ |
1844616080547381248 |
score |
13.070432 |