3 papers
math.LO2024
Axiomatizing the Logic of Ordinary Discourse
Vitor Greati, Sérgio Marcelino, Umberto Rivieccio
Most non-classical logics are subclassical, that is, every inference/theorem they validate is also valid classically. A notable exception is the three-valued propositional Logic of…
cs.LO2024
Adding an Implication to Logics of Perfect Paradefinite Algebras
Vitor Greati, Sérgio Marcelino, João Marcos +1
Perfect paradefinite algebras are De Morgan algebras expanded with an operation that allows for the full behavior of classical negation to be restored. They form a variety that is…
math.LO2024
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…