We introduce a new axiomatic system of modal logic, BM, extending classical first order logic by adding the binary modal symbol “ ” intended to simulate the metamathematical provability predicate “⊢” ...

We study predicate logic that is interpreted in Kripke models similarly to intuitionistic logic except that the accessibility relation of each model is not necessarily reflexive. Unlike in ...

Predicate logic Definition (first-order predicate logic). First-order predicate logic or sentential logic or statement logic is a branch of logic that deals with quantified variables, so that rather ...

Logique et Analyse is an international, peer-reviewed journal that publishes research in logic, philosophy of logic and/or mathematics, argumentation-theory, and analytical philosophy, broadly ...