PrincipalHostFn Comparison Table

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PrincipalHostFn comparison table

Subject have domain1 be first domain of have range be second domain of documentation have axiom is a kind of is an instance of

SpatialRelation valence subrelation The Class of Relations that are spatial in a wide sense. This Class includes mereological relations, topological relations, and positional relations
(=>
(and
(instance ?REL SpatialRelation)
(holds ?REL ?OBJ1 ?OBJ2))
(overlapsTemporally (WhenFn ?OBJ1) (WhenFn ?OBJ2)))
Relation

UnaryFunction rangeSubclass inverse The Class of Functions that require a single argument
(=>
(instance ?FUNCTION UnaryFunction)
(valence ?FUNCTION 1))
Function

PrincipalHostFn Hole rangeSubclass Object inverse A UnaryFunction that maps a Hole to the Object which is its principal host. The principle host of a Hole is its maximally connected host (a notion taken here to be defined only when the argument is a hole)
(=>
(equal ?OBJ1 (SkinFn ?HOLE))
(forall (?OBJ2)
(<=>
(overlapsSpatially ?OBJ2 ?OBJ1)
(exists (?OBJ3)
(and
(superficialPart ?OBJ3 (PrincipalHostFn ?HOLE))
(meetsSpatially ?HOLE ?OBJ3)
(overlapsSpatially ?OBJ2 ?OBJ3))))))
UnaryFunction

Subject	have domain1	be first domain of	have range	be second domain of	documentation	have axiom	is a kind of	is an instance of
SpatialRelation		valence		subrelation	The Class of Relations that are spatial in a wide sense. This Class includes mereological relations, topological relations, and positional relations	(=> (and (instance ?REL SpatialRelation) (holds ?REL ?OBJ1 ?OBJ2)) (overlapsTemporally (WhenFn ?OBJ1) (WhenFn ?OBJ2)))	Relation
UnaryFunction		rangeSubclass		inverse	The Class of Functions that require a single argument	(=> (instance ?FUNCTION UnaryFunction) (valence ?FUNCTION 1))	Function
PrincipalHostFn	Hole	rangeSubclass	Object	inverse	A UnaryFunction that maps a Hole to the Object which is its principal host. The principle host of a Hole is its maximally connected host (a notion taken here to be defined only when the argument is a hole)	(=> (equal ?OBJ1 (SkinFn ?HOLE)) (forall (?OBJ2) (<=> (overlapsSpatially ?OBJ2 ?OBJ1) (exists (?OBJ3) (and (superficialPart ?OBJ3 (PrincipalHostFn ?HOLE)) (meetsSpatially ?HOLE ?OBJ3) (overlapsSpatially ?OBJ2 ?OBJ3))))))		UnaryFunction

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