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Sigma KEE - PathWeightFn
PathWeightFn

appearance as argument number 1
-------------------------


(documentation PathWeightFn ChineseLanguage "这是一个 UnaryFunction, 它把一个 GraphPath 联系到在这条 GraphPath GraphArcs 上的 arcWeight 总和。") chinese_format.kif 2370-2371
(documentation PathWeightFn EnglishLanguage "A UnaryFunction that maps a GraphPath to the sum of the arcWeights on the GraphArcs in the GraphPath.") Merge.kif 5534-5536
(domain PathWeightFn 1 GraphPath) Merge.kif 5531-5531 domain PathWeightFn, 1 and GraphPath
(instance PathWeightFn UnaryFunction) Merge.kif 5530-5530 instance PathWeightFn and UnaryFunction
(range PathWeightFn Quantity) Merge.kif 5532-5532 range PathWeightFn and Quantity

appearance as argument number 2
-------------------------


(format ChineseLanguage PathWeightFn "%1 的值") chinese_format.kif 769-769
(format EnglishLanguage PathWeightFn "the value of %1") english_format.kif 772-772
(termFormat ChineseLanguage PathWeightFn "路径衡量函数") chinese_format.kif 770-770 termFormat ChineseLanguage, PathWeightFn and "路径衡量函数"
(termFormat ChineseLanguage PathWeightFn "路径重量") domainEnglishFormat.kif 44713-44713 termFormat ChineseLanguage, PathWeightFn and "路径重量"
(termFormat ChineseTraditionalLanguage PathWeightFn "路徑重量") domainEnglishFormat.kif 44712-44712 termFormat ChineseTraditionalLanguage, PathWeightFn and "路徑重量"
(termFormat EnglishLanguage PathWeightFn "path weight") domainEnglishFormat.kif 44711-44711 termFormat EnglishLanguage, PathWeightFn and "path weight"

antecedent
-------------------------


(=>
    (and
        (equal
            (MaximalWeightedPathFn ?NODE1 ?NODE2) ?PATH)
        (equal
            (PathWeightFn ?PATH) ?NUMBER1))
    (forall (?PATH2)
        (=>
            (and
                (instance ?PATH2
                    (GraphPathFn ?NODE1 ?NODE2))
                (equal
                    (PathWeightFn ?PATH2) ?NUMBER2))
            (lessThanOrEqualTo ?NUMBER2 ?NUMBER1))))
Merge.kif 5606-5615
(=>
    (and
        (equal
            (MinimalWeightedPathFn ?NODE1 ?NODE2) ?PATH)
        (equal
            (PathWeightFn ?PATH) ?NUMBER1))
    (forall (?PATH2)
        (=>
            (and
                (instance ?PATH2
                    (GraphPathFn ?NODE1 ?NODE2))
                (equal
                    (PathWeightFn ?PATH2) ?NUMBER2))
            (greaterThanOrEqualTo ?NUMBER2 ?NUMBER1))))
Merge.kif 5581-5590
(=>
    (and
        (equal
            (PathWeightFn ?PATH) ?SUM)
        (graphPart ?ARC1 ?PATH)
        (graphPart ?ARC2 ?PATH)
        (arcWeight ?ARC1 ?NUMBER1)
        (arcWeight ?ARC2 ?NUMBER2)
        (forall (?ARC3)
            (=>
                (graphPart ?ARC3 ?PATH)
                (or
                    (equal ?ARC3 ?ARC1)
                    (equal ?ARC3 ?ARC2)))))
    (equal
        (PathWeightFn ?PATH)
        (AdditionFn ?NUMBER1 ?NUMBER2)))
Merge.kif 5552-5565
(=>
    (and
        (equal
            (PathWeightFn ?PATH) ?SUM)
        (subGraph ?SUBPATH ?PATH)
        (graphPart ?ARC1 ?PATH)
        (arcWeight ?ARC1 ?NUMBER1)
        (forall (?ARC2)
            (=>
                (graphPart ?ARC2 ?PATH)
                (or
                    (graphPart ?ARC2 ?SUBPATH)
                    (equal ?ARC2 ?ARC1)))))
    (equal ?SUM
        (AdditionFn
            (PathWeightFn ?SUBPATH) ?NUMBER1)))
Merge.kif 5538-5550

consequent
-------------------------


(=>
    (and
        (equal
            (MaximalWeightedPathFn ?NODE1 ?NODE2) ?PATH)
        (equal
            (PathWeightFn ?PATH) ?NUMBER1))
    (forall (?PATH2)
        (=>
            (and
                (instance ?PATH2
                    (GraphPathFn ?NODE1 ?NODE2))
                (equal
                    (PathWeightFn ?PATH2) ?NUMBER2))
            (lessThanOrEqualTo ?NUMBER2 ?NUMBER1))))
Merge.kif 5606-5615
(=>
    (and
        (equal
            (MinimalWeightedPathFn ?NODE1 ?NODE2) ?PATH)
        (equal
            (PathWeightFn ?PATH) ?NUMBER1))
    (forall (?PATH2)
        (=>
            (and
                (instance ?PATH2
                    (GraphPathFn ?NODE1 ?NODE2))
                (equal
                    (PathWeightFn ?PATH2) ?NUMBER2))
            (greaterThanOrEqualTo ?NUMBER2 ?NUMBER1))))
Merge.kif 5581-5590
(=>
    (and
        (equal
            (PathWeightFn ?PATH) ?SUM)
        (graphPart ?ARC1 ?PATH)
        (graphPart ?ARC2 ?PATH)
        (arcWeight ?ARC1 ?NUMBER1)
        (arcWeight ?ARC2 ?NUMBER2)
        (forall (?ARC3)
            (=>
                (graphPart ?ARC3 ?PATH)
                (or
                    (equal ?ARC3 ?ARC1)
                    (equal ?ARC3 ?ARC2)))))
    (equal
        (PathWeightFn ?PATH)
        (AdditionFn ?NUMBER1 ?NUMBER2)))
Merge.kif 5552-5565
(=>
    (and
        (equal
            (PathWeightFn ?PATH) ?SUM)
        (subGraph ?SUBPATH ?PATH)
        (graphPart ?ARC1 ?PATH)
        (arcWeight ?ARC1 ?NUMBER1)
        (forall (?ARC2)
            (=>
                (graphPart ?ARC2 ?PATH)
                (or
                    (graphPart ?ARC2 ?SUBPATH)
                    (equal ?ARC2 ?ARC1)))))
    (equal ?SUM
        (AdditionFn
            (PathWeightFn ?SUBPATH) ?NUMBER1)))
Merge.kif 5538-5550


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