3 citations · 7 across the 6 of their papers we have counts for
7 papers
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…
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…
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…
Finite two-dimensional proof systems for non-finitely axiomatizable logics
Vitor Greati, João Marcos
The characterizing properties of a proof-theoretical presentation of a given logic may hang on the choice of proof formalism, on the shape of the logical rules and of the sequents…
Proof Search on Bilateralist Judgments over Non-deterministic Semantics
Vitor Greati, Sérgio Marcelino, João Marcos
The bilateralist approach to logical consequence maintains that judgments of different qualities should be taken into account in determining what-follows-from-what. We argue that s…
On Logics of Perfect Paradefinite Algebras
Joel Gomes, Vitor Greati, Sérgio Marcelino +2
The present study shows how to enrich De Morgan algebras with a perfection operator that allows one to express the Boolean properties of negation-consistency and negation-determine…