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<ConsistencyModule:> and(+ConX,+ConY,Bool)

Bool is the reified truth of both constraints ConX and ConY being true.
Reified truth value of the constraint (array notation accepted)


Equivalent to BX #= (ConX), BY #= (ConY), Bool #= (BX + BY #= 2)

The two constraints are reified in such a way that Bool reflects the truth of both being true. ConX and ConY must be constraints that have a corresponding reified form.

ConsistencyModule is the optional module specification to give the consistency level for the propagation for this constraint: gfd_bc for bounds consistency, and gfd_gac for domain (generalised arc) consistency.

This constraint is implemented using Gecode's MiniModel's rel() for both integer and boolean expressions, with sub-expressions/constraints not supported by MiniModel factored out and posted as auxiliary constraints.

A more restricted version of this constraint is defined in the global constraint catalog as 'and', in that the reified truth value is the logical conjunctions of 0/1 variables rather than constraints.


This predicate is sensitive to its module context (tool predicate, see @/2).

See Also

and / 2, neg / 2, or / 3, xor / 3, => / 3, <=> / 3, suspend : and / 3, ic : and / 3