Mathematical logic, set theory, lattices and universal algebra form an interconnected framework that underpins much of modern mathematics. At its heart, mathematical logic provides rigorous formal ...

We translate the classical propositional calculus (CPC) and the intuitionistic propositional calculus (IPC) into the assertive part of $\scr {L}^ {P}$ and show that this translation allows us to ...

We show that the relational semantics of the Lambek calculus, both nonassociative and associative, is also sound and complete for its extension with classical propositional logic. Then, using ...