Leibniz Filters and the Strong Version of a Protoalgebraic Logic
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Leibniz Filters and the Strong Version of a Protoalgebraic Logic
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| Id. |
46302410 |
| Idioma |
inglés
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| Titulo |
Leibniz Filters and the Strong Version of a Protoalgebraic Logic |
| Autor(es) |
Josep Maria Font
Ramon Jansana
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| Localización |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.25.9986
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| Versión |
1.0 |
| Estado |
Final
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| Descripción |
A filter of a sentential logic S is Leibniz when it is the smallest one among all the S-filters on the same algebra having the same Leibniz congruence. This paper studies these filters and the sentential logic S + + + defined by the class of all S-matrices whose filter is Leibniz, which is called the strong version of S , in the context of protoalgebraic logics with theorems. Topics studied include an enhanced Correspondence Theorem, characterizations of the weak algebraizability of S + + + and of the explicit definability of Leibniz filters, and several theorems of transfer of metalogical properties from S to S + + + . For finitely equivalential logics stronger results are obtained. Besides the general theory, the paper examines the examples of modal logics, quantum logics and L/ukasiewicz's finitely-valued logics. One finds that in some cases the existence of a weak and a strong version of a logic corresponds to well-known situations in the literature, such as the ...
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| Tipo |
application/pdf
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| Tipo de recurso |
Texto Narrativo
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| Tipo de Interactividad |
Expositivo
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| Nivel de Interactividad |
muy bajo
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| Audiencia |
Estudiante
Profesor
Autor
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| Estructura |
Atomic |
| Coste |
no
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| Copyright |
sí
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Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| Formatos |
application/pdf
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| Requerimientos técnicos |
Browser: Any
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| Relación |
[IsBasedOn] http://www.mat.ub.es/~font/Strong.pdf
[References] 10.1.1.102.200
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| Fecha de contribución |
23-jul-2009 |
| Contacto |
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