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 constructive arithmetic in Deduction modulo with rewrite rules only. In natural deduction and in sequent calculus, the cut elimination theorem and the analysis of the st...
In this paper we present a translation principle, called the axiomatic translation, for reducing propositional modal logics with background theories, including triangular propertie...
By using a macro/micro state model we show how assumptions on the resolution of logical and physical timing of computation in computer systems has resulted in design methodologies...
We present the CoRe calculus for contextual reasoning which supports reasoning directly at the assertion level, where proof steps are justified in terms of applications of defini...