This is a preview. Log in through your library . Abstract The aim of this paper is to define a λ-calculus typed in a Mixed (commutative and non- commutative) Intuitionistic Linear Logic. The terms of ...

We give a direct proof of admissibility of cut and contraction for the contraction-free sequent calculus G4ip for intuitionistic propositional logic and for a corresponding multi-succedent calculus: ...

Modal logic, an extension of classical logic, investigates the modes of truth such as necessity and possibility. Its development has been closely intertwined with advances in proof theory, a field ...