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KB Term:  Term intersection
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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 5393-5397
(subclass GraphPath DirectedGraph) Merge.kif 5391-5391 subclass GraphPath and DirectedGraph

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


(range MaximalWeightedPathFn GraphPath) Merge.kif 5682-5682 range MaximalWeightedPathFn and GraphPath
(range MinimalWeightedPathFn GraphPath) Merge.kif 5657-5657 range MinimalWeightedPathFn and GraphPath
(rangeSubclass CutSetFn GraphPath) Merge.kif 5723-5723 rangeSubclass CutSetFn and GraphPath
(rangeSubclass GraphPathFn GraphPath) Merge.kif 5707-5707 rangeSubclass GraphPathFn and GraphPath
(rangeSubclass MinimalCutSetFn GraphPath) Merge.kif 5731-5731 rangeSubclass MinimalCutSetFn and GraphPath
(subclass GraphCircuit GraphPath) Merge.kif 5423-5423 subclass GraphCircuit and GraphPath
(termFormat ChineseLanguage GraphPath "图路径") chinese_format.kif 936-936
(termFormat EnglishLanguage GraphPath "graph path") english_format.kif 1084-1084

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


(domain BeginNodeFn 1 GraphPath) Merge.kif 5587-5587 domain BeginNodeFn, 1 and GraphPath
(domain EndNodeFn 1 GraphPath) Merge.kif 5598-5598 domain EndNodeFn, 1 and GraphPath
(domain PathWeightFn 1 GraphPath) Merge.kif 5617-5617 domain PathWeightFn, 1 and GraphPath
(domain pathLength 1 GraphPath) Merge.kif 5557-5557 domain pathLength, 1 and GraphPath

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 5399-5409
(=>
    (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 5411-5421

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 5303-5323
(=>
    (distanceOnPath ?DIST ?PATH)
    (exists (?GP)
        (and
            (instance ?GP GraphPath)
            (abstractCounterpart ?GP ?PATH))))
Transportation.kif 2777-2782


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