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KB Term:  Term intersection
English Word: 

Sigma KEE - MinimalCutSetFn
MinimalCutSetFn

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


(documentation MinimalCutSetFn ChineseLanguage "这是一个 UnaryFunction,它以最少条 GraphArc 把一个 Graph 划分的分割组合,给这个 Graph 分配 GraphPath Class。") chinese_format.kif 2380-2381
(documentation MinimalCutSetFn EnglishLanguage "A UnaryFunction that assigns a Graph the Class of GraphPaths which comprise cutsets for the Graph and which have the least number of GraphArcs.") Merge.kif 5734-5736
(domain MinimalCutSetFn 1 Graph) Merge.kif 5730-5730 domain MinimalCutSetFn, 1 and Graph
(instance MinimalCutSetFn UnaryFunction) Merge.kif 5729-5729 instance MinimalCutSetFn and UnaryFunction
(rangeSubclass MinimalCutSetFn GraphPath) Merge.kif 5731-5731 rangeSubclass MinimalCutSetFn and GraphPath
(relatedInternalConcept MinimalCutSetFn CutSetFn) Merge.kif 5732-5732 relatedInternalConcept MinimalCutSetFn and CutSetFn

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


(format ChineseLanguage MinimalCutSetFn "把 %1 分成另外两个图的最短路径 Set") chinese_format.kif 779-779
(format EnglishLanguage MinimalCutSetFn "the set of minimal paths that partition %1 into two separate graphs") english_format.kif 782-782
(termFormat ChineseLanguage MinimalCutSetFn "分最短图路径函数") chinese_format.kif 780-780
(termFormat ChineseLanguage MinimalCutSetFn "最小割集") domainEnglishFormat.kif 37765-37765
(termFormat ChineseTraditionalLanguage MinimalCutSetFn "最小割集") domainEnglishFormat.kif 37764-37764
(termFormat EnglishLanguage MinimalCutSetFn "minimal cut set") domainEnglishFormat.kif 37763-37763

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


(=>
    (equal
        (MinimalCutSetFn ?GRAPH) ?PATHCLASS)
    (exists (?NUMBER)
        (forall (?PATH)
            (=>
                (instance ?PATH ?PATHCLASS)
                (pathLength ?PATH ?NUMBER)))))
Merge.kif 5742-5748

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


(=>
    (instance ?GRAPH Graph)
    (subclass
        (MinimalCutSetFn ?GRAPH)
        (CutSetFn ?GRAPH)))
Merge.kif 5738-5740

statement
-------------------------


(not
    (exists (?PATH1 ?PATH2)
        (and
            (instance ?PATH1
                (CutSetFn ?GRAPH))
            (instance ?PATH2
                (MinimalCutSetFn ?GRAPH))
            (pathLength ?PATH1 ?NUMBER1)
            (pathLength ?PATH2 ?NUMBER2)
            (lessThan ?NUMBER1 ?NUMBER2))))
Merge.kif 5750-5757 GraphPath GraphPath instance GraphPath and CutSetFn Graph instance GraphPath and MinimalCutSetFn Graph pathLength GraphPath and PositiveInteger pathLength GraphPath and PositiveInteger lessThan PositiveInteger and PositiveInteger


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