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KB:
SUMO
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Formal Language:
OWL
SUO-KIF
TPTP
traditionalLogic
KB Term:
Sigma KEE - ComplementFn
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complement
The complement of a given
SetOrClass
C is the
SetOrClass
of all things that are not instances of C. In other words, an object is an instance of the complement of a
SetOrClass
C just in case it is not an instance of C.
Relationships
Instances
abstract
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.
binary relation
BinaryRelation
s are relations that are true only of pairs of things.
BinaryRelation
s are represented as slots in frame systems.
entity
The universal class of individuals. This is the root node of the ontology.
function
A
Function
is a term-forming
Relation
that maps from a n-tuple of arguments to a range and that associates this n-tuple with at most one range element. Note that the range is a
SetOrClass
, and each element of the range is an instance of the
SetOrClass
.
inheritable relation
The class of
Relation
s whose properties can be inherited downward in the class hierarchy via the
subrelation
Predicate
.
relation
The
Class
of relations. There are three kinds of
Relation
:
Predicate
,
Function
, and
List
.
Predicate
s and
Function
s both denote sets of ordered n-tuples. The difference between these two
Class
es is that
Predicate
s cover formula-forming operators, while
Function
s cover term-forming operators. A
List
, on the other hand, is a particular ordered n-tuple.
single valued relation
A
Relation
is a
SingleValuedRelation
just in case an assignment of values to every argument position except the last one determines at most one assignment for the last argument position. Note that not all
SingleValuedRelation
s are
TotalValuedRelation
s.
total valued relation
A
Relation
is a
TotalValuedRelation
just in case there exists an assignment for the last argument position of the
Relation
given any assignment of values to every argument position except the last one. Note that declaring a
Relation
to be both a
TotalValuedRelation
and a
SingleValuedRelation
means that it is a total function.
unary function
The
Class
of
Function
s that require a single argument.
Belongs to Class
entity
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Sigma version 2.99c (>= 2017/11/20) is
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