Given N possibly overlapping sets, give formulas that specify, using intersections and complements of the given sets, N disjoint sets with the same union as the original N sets. The sets that result are to be the same as the given sets in the case where the given sets are already disjoint.

Considering the case A=B=C={"X"} it can be seen that you cannot demand that all resulting sets be different.

Posted by e.g. on 2004-04-05 10:35:35