Abstract. In 1994 Herbelin started and partially achieved the programme of showing that, for intuitionistic implicational logic, there is a Curry-Howard interpretation of sequent c...
There are several kinds of linear typed calculus in the literature, some with their associated notion of categorical model. Our aim in this paper is to systematise the relationshi...
Maria Emilia Maietti, Paola Maneggia, Valeria de P...
We present a polymorphic type system for lambda calculus ensuring that welltyped programs can be executed in polynomial time: dual light affine logic (DLAL). DLAL has a simple typ...
We present a formalization of a version of Abadi and Plotkin's logic for parametricity for a polymorphic dual intuitionistic / linear type theory with fixed points, and show,...
We present a matrix characterization of logical validity in the multiplicative fragment of linear logic. On this basis we develop a matrix-based proof search procedure for this fra...
Christoph Kreitz, Heiko Mantel, Jens Otten, Stepha...