The description of resources in game semantics has never achieved the simplicity and precision of linear logic, because of the misleading conception that linear logic is more prim...
We consider the multiplicative and exponential fragment of linear logic (MELL) and give a Geometry of Interaction (GoI) semantics for it based on unique decomposition categories. ...
This article systematically investigates so-called “truth variants” of several functional interpretations. We start by showing a close relation between two variants of modifi...
Grishin ([10]) proposed enriching the Lambek calculus with multiplicative disjunction (par) and coresiduals. Applications to linguistics were discussed by Moortgat ([15]), who spok...
In this paper, we present a categorical model for Multiplicative Additive Polarized Linear Logic MALLP, which is the linear fragment (without structural rules) of Olivier Laurent...