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Labelled calculi for the logics of rough concepts
Ineke van der Berg, Andrea De Domenico, Giuseppe Greco +3
We introduce sound and complete labelled sequent calculi for the basic normal non-distributive modal logic L and some of its axiomatic extensions, where the labels are atomic formu…
Labelled calculi for lattice-based modal logics
Ineke van der Berg, Andrea De Domenico, Giuseppe Greco +3
We introduce labelled sequent calculi for the basic normal non-distributive modal logic L and 31 of its axiomatic extensions, where the labels are atomic formulas of a first order…
Generating proof systems for three-valued propositional logics
Vitor Greati, Giuseppe Greco, Sérgio Marcelino +2
In general, providing an axiomatization for an arbitrary logic is a task that may require some ingenuity. In the case of logics defined by a finite logical matrix (three-valued log…
Multi-type Sequent Calculi
Sabine Frittella, Giuseppe Greco, Alexander Kurz +2
Display calculi are generalized sequent calculi which enjoy a `canonical' cut elimination strategy. That is, their cut elimination is uniformly obtained by verifying the assumption…