Simple Browser : Welcome guest : log in
Home |  Graph |  ]  KB:  Language:   

Formal Language: 




Sigma KEE - subrelation
KB Term: 
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
subrelation
(subrelation ?REL1 ?REL2) means that every tuple of ?REL1 is also a tuple of ?REL2. In other words, if the Relation ?REL1 holds for some arguments arg_1, arg_2, ... arg_n, then the Relation ?REL2 holds for the same arguments. A consequence of this is that a Relation and its subrelations must have the same valence.
Relationships      
InstancesAbstractProperties 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.
 AntisymmetricRelationBinaryRelation ?REL is an AntisymmetricRelation if for distinct ?INST1 and ?INST2, (?REL ?INST1 ?INST2) implies not (?REL ?INST2 ?INST1). In other words, for all ?INST1 and ?INST2, (?REL ?INST1 ?INST2) and (?REL ?INST2 ?INST1) imply that ?INST1 and ?INST2 are identical. Note that it is possible for an AntisymmetricRelation to be a ReflexiveRelation.
 BinaryPredicateA Predicate relating two items - its valence is two.
 BinaryRelationBinaryRelations are relations that are true only of pairs of things. BinaryRelations are represented as slots in frame systems.
 EntityThe universal class of individuals. This is the root node of the ontology.
 InheritableRelationThe class of Relations whose properties can be inherited downward in the class hierarchy via the subrelation Predicate.
 PartialOrderingRelationA BinaryRelation is a partial ordering if it is a ReflexiveRelation, an AntisymmetricRelation, and a TransitiveRelation.
 PredicateA Predicate is a sentence-forming Relation. Each tuple in the Relation is a finite, ordered sequence of objects. The fact that a particular tuple is an element of a Predicate is denoted by '(*predicate* arg_1 arg_2 .. arg_n)', where the arg_i are the objects so related. In the case of BinaryPredicates, the fact can be read as `arg_1 is *predicate* arg_2' or `a *predicate* of arg_1 is arg_2'.
 ReflexiveRelationRelation ?REL is reflexive iff (?REL ?INST ?INST) for all ?INST.
 RelationThe Class of relations. There are two kinds of Relation: Predicate and Function. Predicates and Functions both denote sets of ordered n-tuples. The difference between these two Classes is that Predicates cover formula-forming operators, while Functions cover term-forming operators.
 TotalValuedRelationA 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.
 TransitiveRelationA BinaryRelation ?REL is transitive if (?REL ?INST1 ?INST2) and (?REL ?INST2 ?INST3) imply (?REL ?INST1 ?INST3), for all ?INST1, ?INST2, and ?INST3.
Belongs to Class Entity


Show simplified definition with tree view
Show full definition (without tree view)
Show full definition (with tree view)


Sigma web home      Suggested Upper Merged Ontology (SUMO) web home
Sigma version 3.0 is open source software produced by Articulate Software and its partners