We develop a polarised variant of Curien and Herbelin’s ¯λµ˜µ calculus suitable for sequent calculi that admit a focalising cut elimination (i.e. whose proofs are focalised ...
This paper investigates a Description Logic, namely SHI+, which extends SHI by adding transitive closure of roles. The resulting logic SHI+ allows transitive closure of roles to oc...
ID-logic uses ideas from the field of logic programming to extend second order logic with non-monotone inductive defintions. In this work, we reformulate the semantics of this lo...
Abstract. The paper proposes a type logical reformulation of Jacobson's ([9]) treatment of anaphoric dependencies in Categorial Grammar. To this end, the associative Lambek Ca...