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. |
41849103 |
| 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://citeseer.ist.psu.edu/413707.html
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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 |
pdf
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| Palabras clave |
Josep Maria Font,Ramon Jansana Leibniz Filters and the Strong Version of a Protoalgebraic Logic
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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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unrestricted |
| Formatos |
pdf
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| Requerimientos técnicos |
Browser: Any
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| Relación |
[IsBasedOn] http://www.mat.ub.es/~font/Strong.pdf
[References] oai:CiteSeerPSU:248974
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| Fecha de contribución |
31-mar-2009 |
| Contacto |
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