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Jul 31, 2014 at 5:36 comment added Nate Eldredge @MaxSuica: The program is in C. It was pretty easy to express; I used bitmasks to encode sets. I can add the code to my answer if you are interested.
Jul 31, 2014 at 5:26 comment added Max Suica Thanks, guys! It turns out we can use $E = \{1,2,3\}$ and consider $\{a,b\}_1 \cap \{b,c\}_1 = \{\{a,c\}, \{a\}, \{b\}, \{c\}, \{\}\}$. Primitive $A_k$ sets that contain an element of cardinality 2 will either have more than one element of cardinality 2 (in the case where $|A| \geq 2$, $k \geq 2$), or they will lack one of the singleton elements (in the case where $|A| = 1$, $k=1$.) Nate - out of curiosity, what language did you use for the program? Was it simple to express the problem?
Jul 22, 2014 at 22:32 comment added Bjørn Kjos-Hanssen Funny we had the same exact example, although I miniaturized mine from originally thinking in terms of $A=$ the even numbers and $B=$ the odd numbers.
Jul 22, 2014 at 14:41 history answered Nate Eldredge CC BY-SA 3.0