Functions is a list of functions over each SetVariable in SetVariables in the form FunctionName:FunctionValue, where FunctionName can be 'cardinality', 'minimum', 'maximum' or 'union':
cardinality: FunctionValue can be an integer, an FD variable or an integer domain (list or range) union: (SetVariable must be a set of sets.) FunctionValue can be a set, a set variable or a set domain in the form GlbUnion+PossUnion, representing the glb and poss of the union of SetVariable minimum and maximum: (SetVariable must be a nonempty set of integers.) FunctionValue can be an integer, an FD variable or an integer domainCardinal inferences over SetVariable and its union, minimum and maximum functions will be performed only if these functions are explicitly declared, whereas the cardinality function and respective inferences will always be present even if this (cardinality) function is not explicitly declared. Note that a simple function declaration such as minimum:_ is sufficient to make it 'active'.
If a FunctionValue is given as a variable or as a fixed (integer or set) value, then it will be the same for all of SetVariables. If it is given as a domain, then function values for SetVariables may be different (a different domain variable is created for each SetVariable).
?- sets([S],[],[a,b],[]). ?- sets([S,T],[],[a,b],[cardinality:1]). ?- sets([X,Y,Z],[],[a,b],[cardinality:C]). ?- sets([X,Y,Z],[],[a,b],[cardinality:[0,2]]). ?- sets([X,Y,Z],[c],[a,b,d,e,f,g,h,i,j,k],[cardinality:[2,4..7]]). ?- sets([X,Y,Z],[],[1,3,4,5,7],[minimum:Min,maximum:1..9]), fd:(Max #> Min+2). ?- sets([X,Y,Z], [], [[1,2,5],[2,4],[3,5],[1,3,4]], [union:[1]+[2,4,5]]).