Addendum to the paper "Belnap's four-valued logic and De Morgan lattices"
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Addendum to the paper "Belnap's four-valued logic and De Morgan lattices"
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| Id. |
42076764 |
| Idioma |
inglés
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| Titulo |
Addendum to the paper "Belnap's four-valued logic and De Morgan lattices" |
| Autor(es) |
Four-valued Logic,De Morgan
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| Localización |
http://citeseer.ist.psu.edu/641227.html
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| Versión |
1.0 |
| Estado |
Final
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| Descripción |
the three above mentioned Gentzen systems are presented, together
with the structural and multiple-conclusion versions
and
of GB and GBL ,
respectively. Then Theorem 4.88 of [7] states the same as Theorem 4.11 of [3], that is,
the strong algebraizability of GB (denoted by
in [7]), with the variety DM of De
Morgan lattices as its equivalent algebraic semantics. And Theorem 4.98 of [7] states
the non-algebraizability of
, which is proved from the strong algebraizability of
; since it is obvious that the same fact and proof hold for their single-conclusion
fragments, one can consider that this result also contains the non-algebraizability
of GBL , which is the assertion in Theorem 4.12 of [3]. Moreover, the technique of
the proof is also the same, that is, to use the strong algebraizability of GB together
with a key property of the general theories referred to above; this property (that
an algebraizable logic cannot have a strongly algebraizable proper extension with
the sa
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| Tipo |
pdf
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| Palabras clave |
Four-valued Logic,De Morgan Addendum to the paper "Belnap's four-valued logic and De Morgan lattices"
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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://www3.oup.co.uk/igpl/Volume_07/Issue_05/pdf/addendum.pdf
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| Fecha de contribución |
31-mar-2009 |
| Contacto |
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