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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。") Merge.kif 6215-6216
(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 6212-6214
(domain MinimalCutSetFn 1 Graph) Merge.kif 6209-6209
(instance MinimalCutSetFn UnaryFunction) Merge.kif 6208-6208
(rangeSubclass MinimalCutSetFn GraphPath) Merge.kif 6210-6210
(relatedInternalConcept MinimalCutSetFn CutSetFn) Merge.kif 6211-6211

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 480-480
(termFormat ChineseLanguage MinimalCutSetFn "分最短图路径函数") chinese_format.kif 780-780
(termFormat EnglishLanguage MinimalCutSetFn "minimal cut set") domainEnglishFormat.kif 6731-6731

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


(=>
    (equal
        (MinimalCutSetFn ?GRAPH) ?PATHCLASS)
    (exists (?NUMBER)
        (forall (?PATH)
            (=>
                (instance ?PATH ?PATHCLASS)
                (pathLength ?PATH ?NUMBER)))))
Merge.kif 6222-6228

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


(=>
    (instance ?GRAPH Graph)
    (subclass
        (MinimalCutSetFn ?GRAPH)
        (CutSetFn ?GRAPH)))
Merge.kif 6218-6220

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 6230-6237


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