On a four-valued modal logic with deductive implication

Bulletin of the Section of Logic 43 (1/2):1-18 (2014)
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Abstract

In this paper we propose to enrich the four-valued modal logic associated to Monteiro's Tetravalent modal algebras (TMAs) with a deductive implication, that is, such that the Deduction Meta-theorem holds in the resulting logic. All this lead us to establish some new connections between TMAs, symmetric (or involutive) Boolean algebras, and modal algebras for extensions of S5, as well as their logical counterparts.

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Marcelo E. Coniglio
University of Campinas

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