We define a sound and complete logic, called FO , which extends classical first-order predicate logic with intuitionistic implication. As expected, to allow the interpretation of i...
While many type systems based on the intuitionistic fragment of linear logic have been proposed, applications in programming languages of the full power of linear logic--including...
In Abstract Algebraic Logic, the general study of propositional non-classical logics has been traditionally based on the abstraction of the Lindenbaum-Tarski process. In this proce...
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 ...