What's a facet?
An own slot of a frame has associated with it a set of own facets, and each own facet of a slot of a frame has associated with it a set of entities called facet values. Formally, a facet is a ternary relation, and each value V of own facet Fa of slot S of frame Fr represents the assertion that the relation Fa holds for the relation S, the entity represented by Fr, and the entity represented by V (i.e., (Fa S Fr V)). For example, the assertion that the favorite foods of Fred must be edible foods could be represented by the facet VALUE-TYPE of the Favorite-Food slot of the Fred frame having the value Edible-Food.
A template slot of a class frame has associated with it a collection of template facets that describe own facet values considered to hold for the corresponding own slot of each instance of the class represented by the class frame. As with the values of template slots, the values of template facets are said to inherit to the subclasses and instances of a class. Formally, each value V of a template facet F of a template slot S of a class frame C represents the assertion that the relation template-facet-value holds for the relations F and S, the class represented by C, and the entity represented by V (i.e., (template-facet-value F S C V)). That assertion, in turn, implies that the relation F holds for relation S, each instance I of class C, and value V (i.e., (F S I V)). It also implies that the relation template-facet-value holds for the relations S and F, each subclass Csub of class C, and the entity represented by V (i.e., (template-facet-value F S Csub V)). In general, the following facet value inheritance axiom holds for the relation template-facet-value:
(=> (template-facet-value ?F ?S ?C ?V) (and (=> (instance-of ?I ?C) (holds ?F ?S ?I ?V)) (=> (subclass-of ?Csub ?C) (template-facet-value ?F ?S ?Csub ?V))))Thus, the values of a template facet are inherited to subclasses as values of the same template facet and to instances as values of the corresponding own facet.
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defined to be a set?
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