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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…
Finite Hilbert systems for Weak Kleene logics
Vitor Greati, Sérgio Marcelino, Umberto Rivieccio
Multiple-conclusion Hilbert-style systems allow us to finitely axiomatize every logic defined by a finite matrix. Having obtained such axiomatizations for Paraconsistent Weak Kleen…
Some more theorems on structural entailment relations and non-deterministic semantics
Carlos Caleiro, Sérgio Marcelino, Umberto Rivieccio
We extend classical work by Janusz Czelakowski on the closure properties of the class of matrix models of entailment relations - nowadays more commonly called multiple-conclusion l…