On Urquhart's C Logic
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On Urquhart's C Logic
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| Id. |
41861297 |
| Idioma |
inglés
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| Titulo |
On Urquhart's C Logic |
| Autor(es) |
Agata Ciabattoni
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| Localización |
http://citeseer.ist.psu.edu/425869.html
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| Versión |
1.0 |
| Estado |
Final
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| Descripción |
In this paper we investigate the basic many-valued logics
introduced by Urquhart in [15] and [16], here referred
to as C and Cnew , respectively. We define a cut-free hypersequent
calculus for Cnew and show the following results:
(1) C and Cnew are distinct versions of G odel logic without
contraction. (2) Cnew is decidable. (3) In Cnew the family
of axioms ((A
k
! C) ^ (B
k
! C)) ! ((A _ B)
k
! C),
with k 2, is in fact redundant.
1 Introduction
The logic C was introduced by Urquhart in the chapter
devoted to many-valued logic of the Handbook of Philosophical
Logic [15].
C turns out to be a basic many-valued logic being contained
in the most important formalizations of fuzzy logic
[7], namely infinite-valued Godel, L/ukasiewicz and product
logic (see [3]).
In [9, 10] C was shown to be a particular Godel logic
without contraction. A cut-free calculus for C was defined
in [3]. This calculus uses hypersequents that are a natural
generalization of Gentzen sequents.
Due to sema...
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| Tipo |
ps
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| Palabras clave |
Agata Ciabattoni On Urquhart's C 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 |
ps
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| Requerimientos técnicos |
Browser: Any
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| Relación |
[IsBasedOn] http://www.logic.at/staff/agata/ismvl2000.ps.gz
[References] oai:CiteSeerPSU:260335
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| Fecha de contribución |
31-mar-2009 |
| Contacto |
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