Relationships




Parents 
InheritableRelation 
The class of Relations whose properties can be inherited downward in the class hierarchy via the subrelation Predicate.


relation 
The Class of relations. There are two kinds of Relation: Predicate and Function. Predicates and Functions both denote sets of ordered ntuples. The difference between these two Classes is that Predicates cover formulaforming operators, while Functions cover termforming operators.

Children 
relation antisym�trique  BinaryRelation ?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. 
 pr�dicat binaire  A Predicate relating two items  its valence is two. 
 EconomicRelation  A class of Relations which are used to specify various economic measures, e.g. the GDP, the consumer price index, and the trade deficit. 
 relation intransitive  A BinaryRelation ?REL is intransitive only if (?REL ?INST1 ?INST2) and (?REL ?INST2 ?INST3) imply not (?REL ?INST1 ?INST3), for all ?INST1, ?INST2, and ?INST3. 
 relation irr�flexive  Relation ?REL is irreflexive iff (?REL ?INST ?INST) holds for no value of ?INST. 
 relation r�flexive  Relation ?REL is reflexive iff (?REL ?INST ?INST) for all ?INST. 
 relation sym�trique  A BinaryRelation ?REL is symmetric just iff (?REL ?INST1 ?INST2) imples (?REL ?INST2 ?INST1), for all ?INST1 and ?INST2. 
 relation transitive  A BinaryRelation ?REL is transitive if (?REL ?INST1 ?INST2) and (?REL ?INST2 ?INST3) imply (?REL ?INST1 ?INST3), for all ?INST1, ?INST2, and ?INST3. 
 relation trichotomique  A BinaryRelation ?REL is a TrichotomizingRelation just in case all ordered pairs consisting of distinct individuals are elements of ?REL. 
 function unaire  The Class of Functions that require a single argument. 