22.2 Set Operations via Boolean Lists

In the first form UnionBlist returns the union of the boolean lists blist1, blist2, etc., which must have equal length. The union is a new boolean list such that union[i] = blist1[i] or blist2[i] or ...

The second form takes the union of all blists in the list list.

In the first form IntersectionBlist returns the intersection of the boolean lists blist1, blist2, etc., which must have equal length. The intersection is a new boolean list such that inter[i] = blist1[i] and blist2[i] and ...

In the second form list must be a list of boolean lists blist1, blist2, etc., which must have equal length, and IntersectionBlist returns the intersection of those boolean lists.

returns the asymmetric set difference (exclusive or) of the two boolean lists blist1 and blist2, which must have equal length. The asymmetric set difference is a new boolean list such that union[i] = blist1[i] and not blist2[i].

gap> blist1 := [ true, true, false, false ];;
gap> blist2 := [ true, false, true, false ];;
gap> UnionBlist( blist1, blist2 );
[ true, true, true, false ] 
gap> IntersectionBlist( blist1, blist2 );
[ true, false, false, false ] 
gap> DifferenceBlist( blist1, blist2 );
[ false, true, false, false ] 

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