Abstract:

We built 12intersection matrix model which appropriately represents these topological relations, and gave the relevantly restricted conditions, showed that there are at most 53 possible topological relations between the region with holes of mutual inclusion and a simple region by programs. Furthermore, we checked up that all these 53 topological relations are possible. We proved that these topological relations are exclusive and complete.

Key words:  artificial intelligence, the region with holes, 12intersections matrix model