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. |
41847422 |
| 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/412026.html
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| Versión |
1.0 |
| Estado |
Final
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| Descripción |
. An infinite sequence # =
##n
(x0 , . . . , xn-1 , y, u) : n < ## of possibly infinite
sets of formulas in n + 1 variables x0 , . . . , xn-1 , 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 , . . . , #n-1 , #
#
Fm# ,
T , #0 , . . . , #n-1
#
S # i# T
#
S #n (#0 , . . . , #n-1 , #, #) 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 # is Leibniz generating if the union of the #n (#0 , . . . , #n-1 , #,
#)
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
#A,
Fi S A#, where Fi S A is
the set of all
S-filters
on A.
Theorem. Let
S
be a protoalgebraic deduc...
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| Tipo |
pdf
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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 |
pdf
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| Requerimientos técnicos |
Browser: Any
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| Relación |
[IsBasedOn] http://www.mat.ub.es/~font/GDDT.pdf
[References] oai:CiteSeerPSU:351286
[References] oai:CiteSeerPSU:413707
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| Fecha de contribución |
31-mar-2009 |
| Contacto |
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