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Negative modalities, consistency and determinedness


on 12-07-2013

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João Marcos, LoLITA - DIMAp - UFRN - Brazil

July 12, 2013, Friday, 16h15m.

Abstract: We study a modal language for negative operators —an intuitionistic-like negation and its paraconsistent dual— added to (bounded) distributive lattices. For each non-classical negation an extra operator is introduced in order to allow for standard logical inferences to be restored, whenever appropriate. We characterize the minimal normal logic and a few other basic logics with such negative modalities and their companions. The talk reports on joint work with Adriano Dodó.


Room: QA02.1, Mathematics

Support: SQIG/Instituto de Telecomunicações with support from FCT and FEDER namely by the FCT project PEst-OE/EEI/LA0008/2013.

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