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
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- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/95933
Ver los metadatos del registro completo
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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:UNLP2025-10-15T11:12:28Zoai: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:13292025-10-15 11:12:29.238SEDICI (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. |
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2012 |
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2012-06 |
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eng |
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