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Sigma KEE - overlapsPartially
?OBJ1 ?OBJ2) means that ?OBJ1 and ?OBJ2 have part(s) in common, but neither ?OBJ1 nor ?OBJ2 is a
of the other.
Properties or qualities as distinguished from any particular embodiment of the properties/qualities in a physical medium. Instances of Abstract can be said to exist in the same sense as mathematical objects such as sets and relations, but they cannot exist at a particular place and time without some physical encoding or embodiment.
relating two items - its valence is two.
s are relations that are true only of pairs of things.
s are represented as slots in frame systems.
The universal class of individuals. This is the root node of the ontology.
The class of
s whose properties can be inherited downward in the class hierarchy via the
?REL is irreflexive iff (?REL ?INST ?INST) holds for no value of ?INST.
partial valued relation
just in case it is not a
, i.e. just in case assigning values to every argument position except the last one does not necessarily mean that there is a value assignment for the last argument position. Note that, if a
is both a
, then it is a partial function.
is a sentence-forming
. Each tuple in the
is a finite, ordered sequence of objects. The fact that a particular tuple is an element of a
is denoted by '(*predicate* arg_1 arg_2 .. arg_n)', where the arg_i are the objects so related. In the case of
s, the fact can be read as `arg_1 is *predicate* arg_2' or `a *predicate* of arg_1 is arg_2'.
of relations. There are two kinds of
s both denote sets of ordered n-tuples. The difference between these two
es is that
s cover formula-forming operators, while
s cover term-forming operators.
?REL is symmetric just iff (?REL ?INST1 ?INST2) imples (?REL ?INST2 ?INST1), for all ?INST1 and ?INST2.
Belongs to Class
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