One is the vertex enumeration problem: Given a system of inequalities, enumerate its feasible 0/1 points.
Another one is the convex hull problem: Given a set of 0/1 points in dimension d, enumerate the facets of the corresponding polytope.
We developed two new approaches for both problems. The novelty of our algorithms is the incorporation of binary decision diagrams (BDDs).
In this talk I will only concentrate on the vertex enumeration problem. Our new tool "azove" will be introduced, which is currently the fastest software for counting and enumerating 0/1 points in a polytope.