Fully Adequate Gentzen Systems and the Deduction Theorem
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Fully Adequate Gentzen Systems and the Deduction Theorem
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| Id. |
41684090 |
| Idioma |
inglés
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| Titulo |
Fully Adequate Gentzen Systems and the Deduction Theorem |
| Autor(es) |
Josep Maria Font,Ramon Jansana
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| Localización |
http://citeseer.ist.psu.edu/248974.html
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| Versión |
1.0 |
| Estado |
Final
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| Descripción |
. An infinite sequence Delta = hDelta n(x0 ; : : : ; xnGamma1 ; y; u) : n ! !i of possibly infinite
sets of formulas in n + 1 variables x0 ; : : : ; xnGamma1 ; y and a possibly infinite system of
parameters u is a parameterized graded deduction-detachment (PGDD) system for a deductive
system S over a S-theory T if, for every n ! ! and for all '0 ; : : : ; 'nGamma1 ; / 2 Fm ,
T; '0 ; : : : ; 'nGamma1 `S / iff T `S Delta n('0 ; : : : ; 'nGamma1 ; /; #) for every possible system of formulas
#. A S-theory is Leibniz if it is included in every S-theory with the same Leibniz congruence.
A PGDD system Delta is Leibniz generating if the union of the Delta n ('0 ; : : : ; 'nGamma1 ; /; #)
as # ranges over all systems of formulas generates a Leibniz theory.
A Gentzen system G is fully adequate for a deductive system S if (roughly speaking)
every reduced generalized matrix model of G is of the form hA; FiS Ai, where FiS A is
the set of all S-filters on A.
Theorem. Let...
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| Tipo |
ps
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| Palabras clave |
Josep Maria Font,Ramon Jansana Fully Adequate Gentzen Systems and the Deduction Theorem
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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] ftp://ftp.math.iastate.edu/pub/dpigozzi/fuladgdt.ps.gz
[References] oai:CiteSeerPSU:351286
[References] oai:CiteSeerPSU:413707
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| Fecha de contribución |
31-mar-2009 |
| Contacto |
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