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Possibilistic Logic

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Marcadores Sociales
Possibilistic Logic
Id. 41520574
Idioma inglés
Titulo Possibilistic Logic
Autor(es) Didier Dubois,Henri Prade
Localización http://citeseer.ist.psu.edu/86479.html
Versión 1.0
Estado Final
Descripción This paper is organized as follows : Section 2 pursues the overview by introducing background material on fuzzy set and possibility theory, including comparative possibility relations that underlie possibility and necessity measures. Section 3 forms the main body of the paper and presents formal aspects of a fragment of possibilistic logic where formulas are valued by a lower bound on their degree of necessity. It includes an axiomatization and a refutation method based on extended resolution that is liable of implementation on a computer and supports partial inconsistency. The remainder of Section 3 lays bare the existing links between possibilistic logic and non-monotonic logics on the one hand, and belief revision on the other hand. It is indicated that possibilistic logic can be cast in the frameworks of preference logics after Shoham (1988), counterfactual logics after Lewis (1973) and epistemic entrenchment theory after Gärdenfors (1988). In the presence of partial inconsistency, possibilistic logic behaves as a cumulative non-monotonic logic whose properties have been suggested by Gabbay (1985), and studied by Makinson (1989) and Kraus et al. (1990). Section 4 considers a richer possibilistic logic where formulas can be weighted by a lower bound on possibility or necessity degrees. Then it briefly sketches some other potentially interesting extensions of possibilistic logic, whereby the valuation set may become partially ordered, the weights may become variable or convey the interpretation of costs, and the predicates may become vague. Section 5 describes some applications of possibilistic logic to truth-maintenance systems, inconsistency handling in logical data bases, discrete optimization and logic programming. 5 2. Possibility theory Let x be a variable tak...
Tipo ps
Palabras clave Didier Dubois,Henri Prade Possibilistic Logic
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] ftp://ftp.irit.fr/pub/IRIT/RPDMP/PL.ps.gz
Fecha de contribución 31-mar-2009
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