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.
(In reply to
re(2): Suggestions from Proposer by Richard)
The following sets:
{1}, {2},{3},{4},{1,2},{3,4},{1,2,3,4}
are pairwise distinct, are they not?
There are only 4 possible disjoint sets here (5 if one counts the null set); is that not right?

Posted by Charlie
on 20040404 19:23:03 