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Entity > Abstract > Class > Relation |

Relation | ||||

subject | fact |

Relation | A Class of ordered tuplesdocumentation | |

is first domain ofdomain | ||

is first domain ofdomainSubclass | ||

is first domain ofholds | ||

is first domain ofsubrelation | ||

is first domain ofvalence | ||

is second domain ofsubrelation | ||

is a kind of Class | ||

Class | has axiom (<=> | |

has axiom (forall (?INT) ( | ||

has axiom (forall (?INT) ( | ||

is third domain ofdomain | ||

is third domain ofdomainSubclass | ||

Abstract | is Physicaldisjoint from |

**Kinds of Relation** :

- BinaryRelation (200 kinds, 1525 facts) - BinaryRelations map instances of a Class to instances of another Class. BinaryRelations are represented as slots in frame systems
- Function (143 kinds, 905 facts) - 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 exactly one range element. Note that the range is a Class, and each element of the range is an instance of the Class
- Predicate (124 kinds, 1067 facts) - A 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'
- ProbabilityRelation (2 facts) - The Class of Relations that permit assessment of the probability of an event or situation
- QuaternaryRelation (2 kinds, 12 facts) - QuaternaryRelations relate four items. The two subclasses of QuaternaryRelation are QuaternaryPredicate and TernaryFunction
- QuintaryRelation (1 kind, 6 facts) - QuintaryRelations relate five items. The two subclasses of QuintaryRelation are QuintaryPredicate and QuaternaryFunction
- RelationExtendedToQuantities (15 kinds, 200 facts) - A RelationExtendedToQuantities is a Relation that, when it is true on a sequence of arguments that are RealNumbers, it is also true on a sequence of ConstantQuantites with those magnitudes in some unit of measure. For example, the lessThan relation is extended to quantities. This means that for all pairs of quantities ?QUANTITY1 and ?QUANTITY2, (lessThan ?QUANTITY1 ?QUANTITY2) if and only if, for some ?NUMBER1, ?NUMBER2, and ?UNIT, ?QUANTITY1 = (MeasureFn ?NUMBER1 ?UNIT), ?QUANTITY2 = (MeasureFn ?NUMBER2 ?UNIT), and (lessThan ?NUMBER1 ?NUMBER2), for all units ?UNIT on which ?QUANTITY1 and ?QUANTITY2 can be measured. Note that, when a RelationExtendedToQuantities is extended from RealNumbers to ConstantQuantities, the ConstantQuantities must be measured along the same physical dimension
- SpatialRelation (21 kinds, 250 facts) - The Class of Relations that are spatial in a wide sense. This Class includes mereological relations, topological relations, and positional relations
- TemporalRelation (26 kinds, 287 facts) - The Class of temporal Relations. This Class includes notions of (temporal) topology of intervals, (temporal) schemata, and (temporal) extension
- TernaryRelation (43 kinds, 436 facts) - TernaryRelations relate three items. The two subclasses of TernaryRelation are TernaryPredicate and BinaryFunction
- VariableArityRelation (6 kinds, 54 facts) - The Class of Relations that do not have a fixed number of arguments