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A categorial aproach to the combination of logics



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CARNIELLI, Walter Alexandre; CONIGLIO, Marcelo Esteban. A categorial aproach to the combination of logics. Manuscrito: Revista Internacional de Filosofia, Campinas, SP, v. 22, n. 2, p. 69–94, 1999. Disponível em: Acesso em: 22 jul. 2024.


In this paper we propose a very general definition of combination of logics by means of the concept of sheaves of logics. We first discuss some properties of this general definition and list  some problems, as well as connections to related work. As applications of our abstract setting, we show that the notion of possible-translations semantics, introduced in previous papers by first author, can be described in categorial terms. Possible-translations semantics constitute illustrative cases, since they provide a new semantical account for abstract logical systems, particularly for many-valued and paraconsistent logics.



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Copyright (c) 1999 Manuscrito: Revista Internacional de Filosofia


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