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Categorical Abstract Algebraic Logic: More on Protoalgebraicity

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Categorical Abstract Algebraic Logic: More on Protoalgebraicity
Id. 19384096
Idioma inglés
Titulo Categorical Abstract Algebraic Logic: More on Protoalgebraicity
Autor(es) Voutsadakis, George
Localización http://projecteuclid.org/euclid.ndjfl/1168352663
Notre Dame J. Formal Logic 47, no. 4 (2006), 487-514
doi:10.1305/ndjfl/1168352663
Versión 1.0
Estado Final
Descripción Protoalgebraic logics are characterized by the monotonicity of the Leibniz operator on their theory lattices and are at the lower end of the Leibniz hierarchy of abstract algebraic logic. They have been shown to be the most primitive among those logics with a strong enough algebraic character to be amenable to algebraic study techniques. Protoalgebraic ?-institutions were introduced recently as an analog of protoalgebraic sentential logics with the goal of extending the Leibniz hierarchy from the sentential framework to the ?-institution framework. Many properties of protoalgebraic logics, studied in the sentential logic framework by Blok and Pigozzi, Czelakowski, and Font and Jansana, among others, have already been adapted in previous work by the author to the categorical level. This work aims at further advancing that study by exploring in this new level some more properties of protoalgebraic sentential logics.
Tipo application/pdf
Palabras clave algebraic logic
Tipo de recurso Text
Tipo de Interactividad Expositivo
Nivel de Interactividad muy bajo
Audiencia Estudiante
Profesor
Autor
Estructura Atomic
Coste no
Copyright
Copyright 2006 Duke University Press
Formatos application/pdf
Requerimientos técnicos Browser: Any
Fecha de contribución 21-nov-2008
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