SQON operations, and Venn diagrams

[justincorrigible]

Extract from a chat over Overture@slack:

...But if I could create a Venn set formula with SQONs, I could pass that info back to the front-end and use it as-is in the querybuilder
e.g.
( S1 ∩ (S2 ∩ S3) )
( S1 ∩ S2 ) - ( S3 )
( S2 ∩ S3 ) - ( S1 )
( S1 ∩ S3 ) - ( S2 )
( S1 ) - ( S2 ∪ S3 )
( S2 ) - ( S1 ∪ S3 )
( S3 ) - ( S1 ∪ S2 )

each formula respresents a part of a circle in a Venn diagram. hold on

so a formula would represent a green region in the picture above
we wish to take 3 queries out of the query builder and make a Venn diagram out of those. From this diagram new queries could be made.