Digital filters are widely used in control/command programs: a digital filter is a numerical algorithm to smooth variations of sampled values of signal. Digital filters involve linear recursions that can hardly be bound by using linear invariants. We propose an abstract domain using quadratic constraints and formal expansion to bound…
We investigate the impact of potential symmetries in site-graph rewriting rules on the overall behavior of the system which are induced by these rules. For this purpose, we introduce a categorical framework in which rules are seen as pairs of embeddings, the application of a rule as a universal construction…
We propose a systematic approach to approximate the behavior of models of polymers synthesis/degradation, described in Kappa. Our abstraction consists in focusing on the behavior of all the patterns of size less than a given parameter. We infer symbolic equalities and inequalities which intentionally may be understood as algebraic constructions…
Les voies de signalisation intracellulaire impliquent des cascades d’interaction entre protéines. Chaque cellule peut alors recevoir des signaux, les propager jusqu’à son noyau, puis les intégrer, ce qui, in fine, influe sur son comportement global. Les protéines s’associent entre elles puis modifient la structure spatiale de leurs voisines, ce qui a…
