The logic Ł• |
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Authors: | Marta S Sagastume Hernán J San Martín |
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Institution: | Departamento de Matemática, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, , La Plata, (1900) Argentina |
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Abstract: | The algebraic category is the image of MV, the category whose objects are the MV‐algebras, by the equivalence (cf. 7 , 8 ). In this paper we define the logic ?? whose Lindenbaum algebra is an MV ‐algebra (object of ), and establish a link between ?? and the infinite valued ?ukasiewicz logic ?. We define U‐operators, that have properties of universal quantifiers, and establish a bijection that maps an MV‐algebra endowed with a U‐operator (cf. 20 - 22 ) into an MV?‐algebra endowed with a U‐operator. This map extends to a functor that is a categorical equivalence. |
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