Hypersequents and the Proof Theory of Intuitionistic Fuzzy Logic
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Hypersequents and the Proof Theory of Intuitionistic Fuzzy Logic
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| Id. |
389700 |
| Titulo |
Hypersequents and the Proof Theory of Intuitionistic Fuzzy Logic |
| Autor(es) |
Baaz, Matthias
Zach, Richard
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| Localización |
http://arxiv.org/abs/math/0005183
Clote, Peter G., and Helmut Schwichtenberg (eds.), Computer
Science Logic. 14th International Workshop, CSL 2000. Fischbachau, Germany,
August 21-26, 2000. Proceedings, pp. 187-201. Springer, Berlin, 2000
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| Versión |
1.0 |
| Estado |
Final
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| Descripción |
Takeuti and Titani have introduced and investigated a logic they called
intuitionistic fuzzy logic. This logic is characterized as the first-order
Goedel logic based on the truth value set [0,1]. The logic is known to be
axiomatizable, but no deduction system amenable to proof-theoretic, and hence,
computational treatment, has been known. Such a system is presented here, based
on previous work on hypersequent calculi for propositional Goedel logics by
Avron. It is shown that the system is sound and complete, and allows
cut-elimination. A question by Takano regarding the eliminability of the
Takeuti-Titani density rule is answered affirmatively.
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| Palabras clave |
Mathematics - Logic
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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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| Requerimientos técnicos |
Browser: Any
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| Fecha de contribución |
25-feb-2007 |
| Contacto |
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