A remark on functional completeness of binary expansions of Kleene’s strong 3-valued logic
[EN] A classical result by Słupecki states that a logic L is functionally complete for the 3-element set of truth-values THREE if, in addition to functionally including Łukasiewicz’s 3-valued logic Ł3, what he names the ‘T -function’ is definable in L. By leaning upon this classical result, we prove...
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2022 |
| País: | España |
| Recursos: | Universidad de León |
| Repositorio: | BULERIA. Repositorio Institucional de la Universidad de León |
| OAI Identifier: | oai:buleria.unileon.es:10612/25669 |
| Acesso em linha: | https://hdl.handle.net/10612/25669 |
| Access Level: | acceso abierto |
| Palavra-chave: | Lógica 3-valued logic Kleene’s strong 3-valued logic Łukasiewicz’s 3-valued logic Functional completeness 11 Lógica |
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A remark on functional completeness of binary expansions of Kleene’s strong 3-valued logicRobles Vázquez, GemmaMéndez Rodríguez, José ManuelLógica3-valued logicKleene’s strong 3-valued logicŁukasiewicz’s 3-valued logicFunctional completeness11 Lógica[EN] A classical result by Słupecki states that a logic L is functionally complete for the 3-element set of truth-values THREE if, in addition to functionally including Łukasiewicz’s 3-valued logic Ł3, what he names the ‘T -function’ is definable in L. By leaning upon this classical result, we prove a general theorem for defining binary expansions (i.e., expansions with a binary connective) of Kleene’s strong logic that are functionally complete for THREE.SIMinisterio de Economía, Industria y Competitividad (España)Oxford University PressLogica y Filosofia de la CienciaFacultad de Filosofia y Letras2022info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionhttps://hdl.handle.net/10612/25669reponame:BULERIA. Repositorio Institucional de la Universidad de Leóninstname:Universidad de LeónInglésinfo:eu-repo/grantAgreement/MINECO//FFI2017-82878-Phttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:buleria.unileon.es:10612/256692026-06-24T12:43:27Z |
| dc.title.none.fl_str_mv |
A remark on functional completeness of binary expansions of Kleene’s strong 3-valued logic |
| title |
A remark on functional completeness of binary expansions of Kleene’s strong 3-valued logic |
| spellingShingle |
A remark on functional completeness of binary expansions of Kleene’s strong 3-valued logic Robles Vázquez, Gemma Lógica 3-valued logic Kleene’s strong 3-valued logic Łukasiewicz’s 3-valued logic Functional completeness 11 Lógica |
| title_short |
A remark on functional completeness of binary expansions of Kleene’s strong 3-valued logic |
| title_full |
A remark on functional completeness of binary expansions of Kleene’s strong 3-valued logic |
| title_fullStr |
A remark on functional completeness of binary expansions of Kleene’s strong 3-valued logic |
| title_full_unstemmed |
A remark on functional completeness of binary expansions of Kleene’s strong 3-valued logic |
| title_sort |
A remark on functional completeness of binary expansions of Kleene’s strong 3-valued logic |
| dc.creator.none.fl_str_mv |
Robles Vázquez, Gemma Méndez Rodríguez, José Manuel |
| author |
Robles Vázquez, Gemma |
| author_facet |
Robles Vázquez, Gemma Méndez Rodríguez, José Manuel |
| author_role |
author |
| author2 |
Méndez Rodríguez, José Manuel |
| author2_role |
author |
| dc.contributor.none.fl_str_mv |
Logica y Filosofia de la Ciencia Facultad de Filosofia y Letras |
| dc.subject.none.fl_str_mv |
Lógica 3-valued logic Kleene’s strong 3-valued logic Łukasiewicz’s 3-valued logic Functional completeness 11 Lógica |
| topic |
Lógica 3-valued logic Kleene’s strong 3-valued logic Łukasiewicz’s 3-valued logic Functional completeness 11 Lógica |
| description |
[EN] A classical result by Słupecki states that a logic L is functionally complete for the 3-element set of truth-values THREE if, in addition to functionally including Łukasiewicz’s 3-valued logic Ł3, what he names the ‘T -function’ is definable in L. By leaning upon this classical result, we prove a general theorem for defining binary expansions (i.e., expansions with a binary connective) of Kleene’s strong logic that are functionally complete for THREE. |
| publishDate |
2022 |
| dc.date.none.fl_str_mv |
2022 |
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info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion |
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article |
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acceptedVersion |
| dc.identifier.none.fl_str_mv |
https://hdl.handle.net/10612/25669 |
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https://hdl.handle.net/10612/25669 |
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Inglés |
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Inglés |
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info:eu-repo/grantAgreement/MINECO//FFI2017-82878-P |
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http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess |
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http://creativecommons.org/licenses/by-nc-nd/4.0/ |
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openAccess |
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Oxford University Press |
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Oxford University Press |
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reponame:BULERIA. Repositorio Institucional de la Universidad de León instname:Universidad de León |
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Universidad de León |
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BULERIA. Repositorio Institucional de la Universidad de León |
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BULERIA. Repositorio Institucional de la Universidad de León |
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15,811543 |