System BV is an extension of multiplicative linear logic with a non-commutative self-dual operator. In this paper we present systems equivalent to system BV where equalities for un...
Abstract. We prove "untyping" theorems: in some typed theories (semirings, Kleene algebras, residuated lattices, involutive residuated lattices), typed equations can be d...
We provide a new correctness criterion for unit-free MLL proof structures and MELL proof structures with units. We prove that deciding the correctness of a MLL and of a MELL proof ...
Inthis paper, we aim at giving alogical account of the representationalist view on minimalist grammars by refering to the notion of Proof-Net in Linear Logic. We propose at the sam...