A Deterministic Terminating Sequent Calculus for Gödel-Dummett logic
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A Deterministic Terminating Sequent Calculus for Gödel-Dummett logic
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| Id. |
41810524 |
| Idioma |
inglés
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| Titulo |
A Deterministic Terminating Sequent Calculus for Gödel-Dummett logic |
| Autor(es) |
Godel-dummett Logic |
| Localización |
http://citeseer.ist.psu.edu/375165.html
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| Versión |
1.0 |
| Estado |
Final
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| Descripción |
We give a short proof-theoretic treatment of a terminating contraction-free calculus G4-LC for the
zero-order Godel-Dummett logic LC. This calculus is a slight variant of a calculus given by Avellone
et al, who show its completeness by model-theoretic techniques. In our calculus, all the rules of
G4-LC are invertible, thus allowing a deterministic proof-search procedure.
Keywords: sequent calculus, contraction-free, terminating, Godel-Dummett logic
1 Introduction
In previous work [9] the author gave a "contraction-free calculus" for zero-order intuitionistic
logic IPL; following [21] we call this calculus G4ip. It has the property
that root-first proof search terminates, thus allowing easy implementation without
a loop-checker. See [9] for further history of this calculus, developed independently
by Hudelmaier [16] and others, and with ideas from Vorob'ev's 1950 work (presented
later in [22]). We now call this a "terminating" calculus to distinguish it from other
"contraction-free c... |
| Tipo |
ps |
| Palabras clave |
Godel-dummett Logic A Deterministic Terminating Sequent Calculus for Gödel-Dummett logic |
| 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 |
| Requerimientos técnicos |
Browser: Any |
| Relación |
[IsBasedOn] http://www-theory.dcs.st-and.ac.uk/~rd/publications/IGPL-1/dyckhoff.ps
[References] oai:CiteSeerPSU:326351
[References] oai:CiteSeerPSU:365323
[References] oai:CiteSeerPSU:365323
[References] oai:CiteSeerPSU:101892
[References] oai:CiteSeerPSU:326692
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| Fecha de contribución |
31-mar-2009 |
| Contacto |
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