We show that the decomposition of Intuitionistic Logic into Linear Logic along the equation ´ may be adapted into a decomposition of classical logic into LLP, the polarized versi...
Abstract—Polarized logic is the logic of values and continuations, and their interaction through continuation-passing style. The main limitations of this logic are the limitation...
We give the precise correspondence between polarized linear logic and polarized classical logic. The properties of focalization and reversion of linear proofs are at the heart of ...
Olivier Laurent, Myriam Quatrini, Lorenzo Tortora ...
A focused proof system provides a normal form to cut-free proofs that structures the application of invertible and non-invertible inference rules. The focused proof system of Andre...
Meta-logics and type systems based on intuitionistic logic are commonly used for specifying natural deduction proof systems. We shall show here that linear logic can be used as a m...