Geometry of Robinson consistency in Łukasiewicz logic
We establish the Robinson joint consistency theorem for the infinite-valued propositional logic of Łukasiewicz. As a corollary we easily obtain the amalgamation property for MV-algebras-the algebras of Łukasiewicz logic: all pre-existing proofs of this latter result make essential use of the Pierce...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2007 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/84081 |
| Acceso en línea: | http://hdl.handle.net/11336/84081 |
| Access Level: | acceso abierto |
| Palabra clave: | ŁUkasiewicz&Nbsp;Logic Amalgamation Finite-Valued Logic Free Mv-Algebra Infinite-Valued Logic Krull Depth Mcnaughton Function Mv-Algebra Prime Ideal Robinson Joint Consistency Unimodular Triangulation https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | We establish the Robinson joint consistency theorem for the infinite-valued propositional logic of Łukasiewicz. As a corollary we easily obtain the amalgamation property for MV-algebras-the algebras of Łukasiewicz logic: all pre-existing proofs of this latter result make essential use of the Pierce amalgamation theorem for abelian lattice-ordered groups (with strong unit) together with the categorical equivalence Γ between these groups and MV-algebras. Our main tools are elementary and geometric. |
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