We have recently developed an object-oriented refinement calculus called rCOS to formalize the basic object-orient design principles, patterns and refactoring as refinement laws. The aim is of rCOS is to provide a formal support to the use-cased driven, incremental and iterative Rational Unified Process (RUP). In this paper, we apply rCOS to a step-wised development of a Point of Sale Terminal ...

Longest-edge refinement algorithms were designed to iteratively refine the mesh for finite-element applications by maintaining mesh quality (assuring a bound on the smallest angle). In this paper we improve geometrical results on longest-edge refinement algorithms and provide precise bounds on the refinement propagation. We prove that the iterative application of the algorithm gradually reduces...

A likelihood function based on the multivariate probability distribution of all observed structure-factor amplitudes from a single isomorphous replacement with anomalous scattering experiment has been derived and implemented for use in substructure refinement and phasing as well as macromolecular model refinement. Efficient calculation of a multidimensional integration required for function eva...

Proofs of progress properties often require fairness assumptions. Directly incorporating global fairness assumptions in a compositional method is difficult, given the local flavor of such reasoning. We present a fully automated local reasoning algorithm which handles fairness assumptions through a process of iterative refinement. Refinement strengthens local proofs by the addition of auxiliary ...