Venn diagrams are computed for a given plurality of input sets. The process of computing the Venn diagrams is executed on columnar database systems for efficient execution. The computation of various subsets of the Venn diagrams is performed by determining subsets of various combinations of the input sets and computing set differences of the intersection sets. The process orders the execution of various steps of computing the subsets for the Venn diagram in an order that reduces the number of times an input set is loaded. Information describing various subsets of a Venn diagram is used to render the Venn diagram for display, for example, on a client device.