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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 The number 1 argument of minimal cut set is an instance of graph
(instance MinimalCutSetFn UnaryFunction) Merge.kif 5729-5729 Minimal cut set is an instance of unary function
(rangeSubclass MinimalCutSetFn GraphPath) Merge.kif 5731-5731 The values returned by minimal cut set are subclasses of graph path
(relatedInternalConcept MinimalCutSetFn CutSetFn) Merge.kif 5732-5732 Minimal cut set is internally related to cut set

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 There don't exist a graph path and another graph path such that the graph path is an instance of the set of paths that partition a graph into two separate graphs and the other graph path is an instance of the set of minimal paths that partition the graph into two separate graphs and the length of the graph path is a positive integer and the length of the other graph path is another positive integer and the positive integer is less than the other positive integer


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