Relation Minimum-Slot-Cardinality

Arity: 3
MINIMUM-VALUE-CARDINALITY specifies a lower bound on the number of range elements to which a given relation can map instance of a given domain class. In other words, it is the minimum number of slot values for a slot local to a class.


Instance-Of: Relation, Set

Equivalence Axioms for Minimum-Slot-Cardinality:

(<=> (Minimum-Slot-Cardinality ?Domain-Class ?Relation ?N)
     (=> (Instance-Of ?Instance ?Domain-Class)
         (>= (Value-Cardinality ?Instance ?Relation) ?N)))

Axioms for Minimum-Slot-Cardinality:

(Nth-Domain Minimum-Slot-Cardinality 3 Nonnegative-Integer)

(Nth-Domain Minimum-Slot-Cardinality 2 Binary-Relation)

(Nth-Domain Minimum-Slot-Cardinality 1 Class)