Semi-intuitionistic Logic
The purpose of this paper is to define a new logic SI called semi-intuitionistic logic such that the semi-Heyting algebras introduced in [4] by Sankappanavar are the semantics for SI. Besides, the intuitionistic logic will be an axiomatic extension of SI.
| Author: | |
|---|---|
| Format: | article |
| Status: | Published version |
| Publication Date: | 2011 |
| Country: | Argentina |
| Institution: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repository: | CONICET Digital (CONICET) |
| Language: | English |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/77939 |
| Online Access: | http://hdl.handle.net/11336/77939 |
| Access Level: | Open access |
| Keyword: | Heyting Algebras Intuitionistic Logic Semi-Heyting Algebras Semi-Intuitionistic Logic https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
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Semi-intuitionistic LogicCornejo, Juan ManuelHeyting AlgebrasIntuitionistic LogicSemi-Heyting AlgebrasSemi-Intuitionistic Logichttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The purpose of this paper is to define a new logic SI called semi-intuitionistic logic such that the semi-Heyting algebras introduced in [4] by Sankappanavar are the semantics for SI. Besides, the intuitionistic logic will be an axiomatic extension of SI.Fil: Cornejo, Juan Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Matemática; ArgentinaSpringer2011-07-18info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/77939Cornejo, Juan Manuel; Semi-intuitionistic Logic; Springer; Studia Logica; 98; 1-2; 18-7-2011; 9-250039-32151572-8730CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s11225-011-9321-7info:eu-repo/semantics/altIdentifier/doi/10.1007/s11225-011-9321-7info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T13:59:21Zoai:ri.conicet.gov.ar:11336/77939instacron: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:34982024-05-08 13:59:21.691CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
| dc.title.none.fl_str_mv |
Semi-intuitionistic Logic |
| title |
Semi-intuitionistic Logic |
| spellingShingle |
Semi-intuitionistic Logic Cornejo, Juan Manuel Heyting Algebras Intuitionistic Logic Semi-Heyting Algebras Semi-Intuitionistic Logic https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| title_short |
Semi-intuitionistic Logic |
| title_full |
Semi-intuitionistic Logic |
| title_fullStr |
Semi-intuitionistic Logic |
| title_full_unstemmed |
Semi-intuitionistic Logic |
| title_sort |
Semi-intuitionistic Logic |
| dc.creator.none.fl_str_mv |
Cornejo, Juan Manuel |
| author |
Cornejo, Juan Manuel |
| author_facet |
Cornejo, Juan Manuel |
| author_role |
author |
| dc.subject.none.fl_str_mv |
Heyting Algebras Intuitionistic Logic Semi-Heyting Algebras Semi-Intuitionistic Logic https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| topic |
Heyting Algebras Intuitionistic Logic Semi-Heyting Algebras Semi-Intuitionistic Logic https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| description |
The purpose of this paper is to define a new logic SI called semi-intuitionistic logic such that the semi-Heyting algebras introduced in [4] by Sankappanavar are the semantics for SI. Besides, the intuitionistic logic will be an axiomatic extension of SI. |
| publishDate |
2011 |
| dc.date.none.fl_str_mv |
2011-07-18 |
| 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/11336/77939 Cornejo, Juan Manuel; Semi-intuitionistic Logic; Springer; Studia Logica; 98; 1-2; 18-7-2011; 9-25 0039-3215 1572-8730 CONICET Digital CONICET |
| url |
http://hdl.handle.net/11336/77939 |
| identifier_str_mv |
Cornejo, Juan Manuel; Semi-intuitionistic Logic; Springer; Studia Logica; 98; 1-2; 18-7-2011; 9-25 0039-3215 1572-8730 CONICET Digital CONICET |
| dc.language.none.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s11225-011-9321-7 info:eu-repo/semantics/altIdentifier/doi/10.1007/s11225-011-9321-7 |
| 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 |
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https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
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application/pdf application/pdf |
| dc.publisher.none.fl_str_mv |
Springer |
| publisher.none.fl_str_mv |
Springer |
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reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
| repository.mail.fl_str_mv |
dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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1799195653284298752 |
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15.81155 |