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KB Term:  Term intersection
English Word: 

  GraphPath

Sigma KEE - GraphPath
GraphPath

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


(documentation GraphPath ChineseLanguage "非形式来说,这是一个 Graph 的两个 GraphNode 之间 的单一有向的路径。形式的说,这是一个 DirectedGraph,它是原来的 GraphsubGraph,而使得 这个 DirectedGraph 里没有两个 GraphArc 有着相同的始点(可参考 InitialNodeFn) 或相同的终点 (可参考 TerminalNodeFn)。") chinese_format.kif 2330-2333
(documentation GraphPath EnglishLanguage "Informally, a single, directed route between two GraphNodes in a Graph. Formally, a DirectedGraph that is a subGraph of the original Graph and such that no two GraphArcs in the DirectedGraph have the same initial node (see InitialNodeFn) or the same terminal node (see TerminalNodeFn).") Merge.kif 5620-5624
(subclass GraphPath DirectedGraph) Merge.kif 5618-5618

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


(range MaximalWeightedPathFn GraphPath) Merge.kif 5935-5935
(range MinimalWeightedPathFn GraphPath) Merge.kif 5910-5910
(rangeSubclass CutSetFn GraphPath) Merge.kif 5976-5976
(rangeSubclass GraphPathFn GraphPath) Merge.kif 5960-5960
(rangeSubclass MinimalCutSetFn GraphPath) Merge.kif 5984-5984
(subclass GraphCircuit GraphPath) Merge.kif 5650-5650
(termFormat ChineseLanguage GraphPath "图路径") chinese_format.kif 936-936
(termFormat EnglishLanguage GraphPath "graph path") english_format.kif 1079-1079

appearance as argument number 3
-------------------------


(domain BeginNodeFn 1 GraphPath) Merge.kif 5840-5840
(domain EndNodeFn 1 GraphPath) Merge.kif 5851-5851
(domain PathWeightFn 1 GraphPath) Merge.kif 5870-5870
(domain pathLength 1 GraphPath) Merge.kif 5810-5810

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


(=>
    (and
        (instance ?GRAPH GraphPath)
        (instance ?ARC GraphArc)
        (graphPart ?ARC ?GRAPH))
    (=>
        (equal
            (InitialNodeFn ?ARC) ?NODE)
        (not
            (exists (?OTHER)
                (and
                    (equal
                        (InitialNodeFn ?OTHER) ?NODE)
                    (not
                        (equal ?OTHER ?ARC)))))))
Merge.kif 5626-5636
(=>
    (and
        (instance ?GRAPH GraphPath)
        (instance ?ARC GraphArc)
        (graphPart ?ARC ?GRAPH))
    (=>
        (equal
            (TerminalNodeFn ?ARC) ?NODE)
        (not
            (exists (?OTHER)
                (and
                    (equal
                        (TerminalNodeFn ?OTHER) ?NODE)
                    (not
                        (equal ?OTHER ?ARC)))))))
Merge.kif 5638-5648

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


(=>
    (and
        (instance ?GRAPH Graph)
        (instance ?NODE1 GraphNode)
        (instance ?NODE2 GraphNode)
        (graphPart ?NODE1 ?GRAPH)
        (graphPart ?NODE2 ?GRAPH)
        (not
            (equal ?NODE1 ?NODE2)))
    (exists (?ARC ?PATH)
        (or
            (links ?NODE1 ?NODE2 ?ARC)
            (and
                (subGraph ?PATH ?GRAPH)
                (instance ?PATH GraphPath)
                (or
                    (and
                        (equal
                            (BeginNodeFn ?PATH) ?NODE1)
                        (equal
                            (EndNodeFn ?PATH) ?NODE2))
                    (and
                        (equal
                            (BeginNodeFn ?PATH) ?NODE2)
                        (equal
                            (EndNodeFn ?PATH) ?NODE1)))))))
Merge.kif 5530-5550
(=>
    (distanceOnPath ?DIST ?PATH)
    (exists (?GP)
        (and
            (instance ?GP GraphPath)
            (abstractCounterpart ?GP ?PATH))))
Transportation.kif 2806-2811


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