Combining possibilities and negations

Studia Logica 59 (1):121-141 (1997)
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Abstract

Combining non-classical (or sub-classical) logics is not easy, but it is very interesting. In this paper, we combine nonclassical logics of negation and possibility (in the presence of conjunction and disjunction), and then we combine the resulting systems with intuitionistic logic. We will find that Kracht's results on the undecidability of classical modal logics generalise to a non-classical setting. We will also see conditions under which intuitionistic logic can be combined with a non-intuitionistic negation without corrupting the intuitionistic fragment of the logic.

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Greg Restall
University of Melbourne

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It ain't necessarily so: Basic sequent systems for negative modalities.Ori Lahav, Marcos, João & Yoni Zohar - 2016 - In Lev Beklemishev, Stéphane Demri & András Máté (eds.), Advances in Modal Logic, Volume 11. CSLI Publications. pp. 449-468.

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