The lambda-Pi-calculus allows to express proofs of minimal predicate logic. It can be extended, in a very simple way, by adding computation rules. This leads to the lambda-Pi-calcu...
We present a notion of -long ? -normal term for the typed lambda calculus with sums and prove, using Grothendieck logical relations, that every term is equivalent to one in norm...
We study relations on trees defined by first-order constraints over a vocabulary that includes the tree extension relation Ì Ì ¼, holding if and only if every branch of Ì ex...
In a previous paper [4], we introduced a non-deterministic -calculus (-LK) whose type system corresponds exactly to Gentzen's cut-free LK [9]. This calculus, however, cannot b...
Qualitative spatial information plays a key role in many applications. While it is well-recognized that all but a few of these applications deal with spatial information that is a...
Steven Schockaert, Martine De Cock, Chris Cornelis...