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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)。") Merge.kif 5848-5851
(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 intial node (see InitialNodeFn) or the same terminal node (see TerminalNodeFn).") Merge.kif 5843-5847
(subclass GraphPath DirectedGraph) Merge.kif 5842-5842

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


(range MaximalWeightedPathFn GraphPath) Merge.kif 6158-6158
(range MinimalWeightedPathFn GraphPath) Merge.kif 6132-6132
(rangeSubclass CutSetFn GraphPath) Merge.kif 6201-6201
(rangeSubclass GraphPathFn GraphPath) Merge.kif 6184-6184
(rangeSubclass MinimalCutSetFn GraphPath) Merge.kif 6210-6210
(subclass GraphCircuit GraphPath) Merge.kif 5877-5877
(termFormat ChineseLanguage GraphPath "图路径") chinese_format.kif 936-936
(termFormat EnglishLanguage GraphPath "graph path") english_format.kif 623-623

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


(domain BeginNodeFn 1 GraphPath) Merge.kif 6056-6056
(domain EndNodeFn 1 GraphPath) Merge.kif 6069-6069
(domain PathWeightFn 1 GraphPath) Merge.kif 6091-6091
(domain pathLength 1 GraphPath) Merge.kif 6020-6020

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 5853-5863
(=>
    (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 5865-5875

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 5752-5772
(=>
    (distanceOnPath ?DIST ?PATH)
    (exists (?GP)
        (and
            (instance ?GP GraphPath)
            (abstractCounterpart ?GP ?PATH))))
Transportation.kif 2740-2745


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