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Sigma KEE - inverse
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
inverse
The inverse of a BinaryRelation is a Relation in which all the tuples of the original Relation are reversed. In other words, one BinaryRelation is the inverse of another if they are equivalent when their arguments are swapped.
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.
 binary predicateA Predicate relating two items - its valence is two.
 binary relationBinaryRelations 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.
 inheritable relationThe class of Relations whose properties can be inherited downward in the class hierarchy via the subrelation Predicate.
 intransitive relationA BinaryRelation ?REL is intransitive only if (?REL ?INST1 ?INST2) and (?REL ?INST2 ?INST3) imply not (?REL ?INST1 ?INST3), for all ?INST1, ?INST2, and ?INST3.
 irreflexive relationRelation ?REL is irreflexive iff (?REL ?INST ?INST) holds for no value of ?INST.
 partial valued relationA Relation is a PartialValuedRelation just in case it is not a TotalValuedRelation, 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 Relation is both a PartialValuedRelation and a SingleValuedRelation, then it is a partial function.
 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'.
 relationThe Class of relations. There are three kinds of Relation: Predicate, Function, and List. 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. A List, on the other hand, is a particular ordered n-tuple.
 symmetric relationA BinaryRelation ?REL is symmetric just iff (?REL ?INST1 ?INST2) imples (?REL ?INST2 ?INST1), for all ?INST1 and ?INST2.
Belongs to Class entity


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