We introduce a method of extending arbitrary categories by a terminal object and apply this method in various type theoretic settings. In particular, we show that categories that a...
Containers are a semantic way to talk about strictly positive types. In previous work it was shown that containers are closed under various constructions including products, coprod...
Abstract. Infinite contexts and their corresponding lattices are of theoretical and practical interest since they may offer connections with and insights from other mathematical ...
Abstract: Interoperability for information systems remains a challenge both at the semantic and organisational levels. The original three-level architecture for local databases nee...
In our previous work [17] we have shown that for any ω-algebraic meet-cpo D, if all higher-order stable function spaces built from D are ω-algebraic, then D is finitary. This ac...
Abstract. We recently introduced an extensional model of the pure λcalculus living in a cartesian closed category of sets and relations. In this paper, we provide sufficient condi...