We extract a quantitative variant of uniqueness from the usual hypotheses of the implicit functions theorem. This leads not only to an a priori proof of continuity, but also to an ...
Constraint solvers are key modules in many systems with reasoning capabilities (e.g., automated theorem provers). To incorporate constraint solvers in such systems, the capability ...
We present the different constructive definitions of real number that can be found in the literature. Using domain theory we analyse the notion of computability that is substant...
We define a generic notion of cut that applies to many first-order theories. We prove a generic cut elimination theorem showing that the cut elimination property holds for all theo...
We present a core calculus with two of X10's key constructs for parallelism, namely async and finish. Our calculus forms a convenient basis for type systems and static analys...