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Addendum to the paper Belnap's

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Addendum to the paper Belnap's
Id. 42109762
Idioma inglés
Titulo Addendum to the paper Belnap's
Autor(es) Four-valued Logic,De Morgan
Localización http://citeseer.ist.psu.edu/674226.html
Versión 1.0
Estado Final
Descripción three above mentioned Gentzen systems are presented, together with the structural and multiple-conclusion versions GBC and GBC 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 GBC 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 GBC , which is proved from the strong algebraizability of GBC ; 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
Tipo ps
Palabras clave Four-valued Logic,De Morgan Addendum to the paper Belnap's
Tipo de Interactividad Expositivo
Nivel de Interactividad muy bajo
Audiencia Estudiante
Profesor
Autor
Estructura Atomic
Coste no
Copyright
unrestricted
Formatos ps
Requerimientos técnicos Browser: Any
Relación [IsBasedOn] http://www3.oup.co.uk/igpl/Volume_07/Issue_05/ps/addendum.ps.gz
Fecha de contribución 31-mar-2009
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