This article systematically investigates so-called “truth variants” of several functional interpretations. We start by showing a close relation between two variants of modifi...
We consider proof systems for effectively propositional logic. First, we show that propositional resolution for effectively propositional logic may have exponentially longer refuta...
This paper presents an extension of a proof system for encoding generic judgments, the logic FOλ∆ of Miller and Tiu, with an induction principle. The logic FOλ∆ is itself an...
A survey is given of results about coherence for categories with finite products and coproducts. For these results, which were published previously by the authors in several places...
Essential elements of aspect-oriented programming can be formulated as forms of logic programming. Extensions of Horn Clause rovide richer abstraction and control mechanisms. Defi...