TotalValuedRelation - Sigma Knowledge base Browser

appearance as argument number 1

(documentation TotalValuedRelation ChineseLanguage "一个 Relation 是 TotalValuedRelation 以防该 Relation 最后参数位置出现一个赋值, 假设除了最后一个之外每个参数位置都有一个赋值。注：声明一个 Relation 既是 TotalValuedRelation 又是 SingleValuedRelation 表示这是一个总函数。")	chinese_format.kif 1823-1826
(documentation TotalValuedRelation EnglishLanguage "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.")	Merge.kif 2105-2109
(subclass TotalValuedRelation InheritableRelation)	Merge.kif 2103-2103	Total valued relation is a subclass of inheritable relation
(subclass TotalValuedRelation Relation)	Merge.kif 2102-2102	Total valued relation is a subclass of relation

appearance as argument number 2

(instance AbsoluteValueFn TotalValuedRelation)	Merge.kif 4530-4530	Absolute value is an instance of total valued relation
(instance AccelerationFn TotalValuedRelation)	Cars.kif 1280-1280	AccelerationFn is an instance of total valued relation
(instance AdditionFn TotalValuedRelation)	Merge.kif 4480-4480	Addition is an instance of total valued relation
(instance BeginFn TotalValuedRelation)	Merge.kif 7534-7534	Begin is an instance of total valued relation
(instance BeginNodeFn TotalValuedRelation)	Merge.kif 5586-5586	Begin node is an instance of total valued relation
(instance CeilingFn TotalValuedRelation)	Merge.kif 4551-4551	Ceiling is an instance of total valued relation
(instance CenterOfCircleFn TotalValuedRelation)	Merge.kif 7205-7205	Center of circle is an instance of total valued relation
(instance ComplementFn TotalValuedRelation)	Merge.kif 5146-5146	Complement is an instance of total valued relation
(instance CosineFn TotalValuedRelation)	Merge.kif 4569-4569	Cosine is an instance of total valued relation
(instance DenominatorFn TotalValuedRelation)	Merge.kif 4578-4578	Denominator is an instance of total valued relation
(instance DensityFn TotalValuedRelation)	Merge.kif 6313-6313	Density is an instance of total valued relation
(instance DiameterFn TotalValuedRelation)	Mid-level-ontology.kif 5245-5245	Diameter is an instance of total valued relation
(instance EndFn TotalValuedRelation)	Merge.kif 7562-7562	End is an instance of total valued relation
(instance EndNodeFn TotalValuedRelation)	Merge.kif 5597-5597	End node is an instance of total valued relation
(instance ExponentiationFn TotalValuedRelation)	Merge.kif 4587-4587	Exponentiation is an instance of total valued relation
(instance FloorFn TotalValuedRelation)	Merge.kif 4596-4596	Floor is an instance of total valued relation
(instance FutureFn TotalValuedRelation)	Merge.kif 7936-7936	Future is an instance of total valued relation
(instance GeneralizedIntersectionFn TotalValuedRelation)	Merge.kif 5167-5167	Generalized intersection is an instance of total valued relation
(instance GeneralizedUnionFn TotalValuedRelation)	Merge.kif 5156-5156	Generalized union is an instance of total valued relation
(instance GraphPathFn TotalValuedRelation)	Merge.kif 5704-5704	Graph path is an instance of total valued relation
(instance ImaginaryPartFn TotalValuedRelation)	Merge.kif 4664-4664	Imaginary part is an instance of total valued relation
(instance ImmediateFamilyFn TotalValuedRelation)	Merge.kif 15087-15087	Immediate family is an instance of total valued relation
(instance ImmediateFutureFn TotalValuedRelation)	Merge.kif 7953-7953	Immediate future is an instance of total valued relation
(instance ImmediatePastFn TotalValuedRelation)	Merge.kif 7922-7922	Immediate past is an instance of total valued relation
(instance IntersectionFn TotalValuedRelation)	Merge.kif 5124-5124	Intersection is an instance of total valued relation

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antecedent

(<=>
    (and
        (instance ?REL TotalValuedRelation)
        (instance ?REL Predicate))
    (exists (?VALENCE)
        (and
            (instance ?REL Relation)
            (valence ?REL ?VALENCE)
            (=>
                (forall (?NUMBER ?ELEMENT ?CLASS)
                    (=>
                        (and
                            (lessThan ?NUMBER ?VALENCE)
                            (domain ?REL ?NUMBER ?CLASS)
                            (equal ?ELEMENT
                                (ListOrderFn
                                    (ListFn @ROW) ?NUMBER)))
                        (instance ?ELEMENT ?CLASS)))
                (exists (?ITEM)
                    (?REL @ROW ?ITEM))))))

Merge.kif 2111-2128

A relation is an instance of total valued relation and the relation is an instance of predicate if and only if there exists a positive integer such that the relation is an instance of relation and the relation %&has the positive integer argument(s) and

if for all another positive integer, an entity and a set or class
- if the other positive integer is less than the positive integer and the number the other positive integer argument of the relation is an instance of the set or class and the entity is equal to the other positive integerth element of (@ROW),
- then the entity is an instance of the set or class
,
then there exists a fourth entity such that the relation @ROW and the fourth entity

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