Relation VALUE-TYPE

• Defined in theory: Frame-ontology
• Source code: frame-ontology.lisp

Slots on this relation:

Documentation:

The VALUE-TYPE of a binary relation R with respect to a given instance d is a constraint on the values of R when R is applied to d. The constraint is specified as a class T such that when R(d,t) holds, t is an instance of T.

Instance-Of: Relation

Arity: 3

Equivalence Axioms:

(<=> (Value-Type ?Instance ?Binary-Relation ?Type)
     (And (Binary-Relation ?Binary-Relation)
          (Class ?Type)
          (Forall (?Value)
                  (=> (Holds ?Binary-Relation ?Instance ?Value)
                      (Instance-Of ?Value ?Type)))))

Axioms:

(Nth-Domain Value-Type 3 Class)

(Nth-Domain Value-Type 2 Binary-Relation)

Other Related Axioms:

(<=> (Value-Type ?Instance ?Binary-Relation ?Type)
     (And (Binary-Relation ?Binary-Relation)
          (Class ?Type)
          (Forall (?Value)
                  (=> (Holds ?Binary-Relation ?Instance ?Value)
                      (Instance-Of ?Value ?Type)))))

(<=> (One-To-One-Relation ?R)
     (And (Unary-Function ?R)
          (Value-Type ?R Inverse Function)
          (Value-Cardinality ?R Inverse 1)))

(<=> (One-To-Many-Relation ?R)
     (And (Binary-Relation ?R)
          (Value-Type ?R Inverse Function)
          (Value-Cardinality ?R Inverse 1)))

Notes:

• VALUE-TYPE is convenient for specifying type restrictions on slots relative to a class by using the class's instance variable.
• See-Also: slot-value-type