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On Lukasiewicz's four-valued modal logic

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On Lukasiewicz's four-valued modal logic
Id. 46300366
Idioma inglés
Titulo On Lukasiewicz's four-valued modal logic
Autor(es) Josep Maria Font
Petr Hajek
Localización http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.25.8024
Versión 1.0
Estado Final
Descripción . # Lukasiewicz's four-valued modal logic is surveyed and analyzed, together with # Lukasiewicz's motivations to develop it. A faithful interpretation of it into classical (non-modal) two-valued logic is presented, and some consequences are drawn concerning its classification and its algebraic behaviour. Some counter-intuitive aspects of this logic are discussed under the light of the presented results, # Lukasiewicz's own texts, and related literature. 1 Introduction The Polish philosopher and logician Jan # Lukasiewicz (Lwow, 1878 -- Dublin, 1956) is one of the fathers of modern many-valued logic, and some of the systems he introduced are presently a topic of deep investigation. In particular his infinitely-valued logic belongs to the core systems of mathematical fuzzy logic as a logic of comparative truth, see [5, 15, 14, 16]. However, it must be stressed here that # Lukasiewicz's logical work bears also a special relationship to modal logic. Actually, modal notions were part of #...
Tipo application/pdf
Tipo de recurso Texto Narrativo
Tipo de Interactividad Expositivo
Nivel de Interactividad muy bajo
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Estructura Atomic
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Metadata may be used without restrictions as long as the oai identifier remains attached to it.
Formatos application/pdf
Requerimientos técnicos Browser: Any
Relación [IsBasedOn] http://www.mat.ub.es/~font/FHa.pdf
[References] 10.1.1.100.2522
Fecha de contribución 23-jul-2009
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