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?SetVar1 `$ ?SetVar2

Set disjointness constraint
SetVar1
A set variable.
SetVar2
A set variable.

Description

Constrain sets SetVar1 and SetVar2 to be disjoint. I.e. SetVar1 and SetVar2 should have no common elements (empty intersection).

Fail Conditions

Fails if SetVar1 and SetVar2 can not be disjoint.

Resatisfiable

No.

Examples

?- [] `$ [8], [7] `$ [8], [] `$ [].
yes

?- [7,8] `$ [8]  ; [7] `$ [7,8] ; [a] `$ [a] ; [a,b] `$ [b,a].
no

?- sets([X,Y], [],[8,9], [cardinality:1]), X `$ Y, set_labeling([X,Y]).
X = [8], Y = [9] ;
X = [9], Y = [8] ;
no

?- S `:: []+[a,b], X=S, X `$ S.
S = [], X = []

?- sets([X,Y], [],[7,8,9], [cardinality:2]), X `$ Y.
no

?- sets([X,Y], [],[7,8,9], [cardinality:[1,2]]), X `$ Y, #(X,2), #(Y,C).
C = 1

?- X `:: [a]+[b,c,d], Y `:: []+[a,b,c,d,e,f], X `$ Y, c `@ Y, poss(X,PX), poss(Y,PY).
PX = [b,d], PY = [b,d,e,f]

See Also

all_disjoint / 1, `<> / 2, complement / 2, complement / 3, `/= / 2, `>= / 2