Restricted Classical Modal Logics

Logic Journal of the IGPL 15 (5-6):741-757 (2007)
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We consider a family of noncongruential modal logics obtained by restricting the smallest classical modal logic E and some of its extensions. We show that these logics are also properly contained in Lemmon's S0.5; semantics for them are adapted from Cresswell's semantics for S0.5 and from neighborhood semantics for classical modal logics. Some extensions of these logics by means of usual modal logical axioms are also considered, and determination results proved. As a further example, we also show how to obtain restricted versions of some of Chellas and Segerberg's prenormal modal logics



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Cezar A. Mortari
Universidade Federal de Santa Catarina

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Aspectos metafísicos na física de Newton: Deus.Bruno Camilo de Oliveira - 2011 - In Luiz Henrique de Araújo Dutra & Alexandre Meyer Luz (eds.), Coleção rumos da epistemologia. Florianópolis, SC, Brasil: NEL/UFSC. pp. 186-201.

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