We introduce the notion of a candidate for “multiple valued universal constructions” and define stable functors (which generalise functors with left adjoints) in terms of fac...
To account for the semi-freeword order ofFrench, Unification Categorial Grammar is extended in two ways. First, verbal valencies are contained in a set rather than in a list. Seco...
We introduce a simple logic that allows to quantify over the subobjects of a categorical object. We subsequently show that, for the category of graphs, this logic is equally expres...
In this paper we give a category-based characterization of recognizability. A recognizable subset of arrows is defined via a functor into the category of relations on sets, which ...