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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 5428-5432
(subclass GraphPath DirectedGraph) Merge.kif 5426-5426 subclass GraphPath and DirectedGraph

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


(range MaximalWeightedPathFn GraphPath) Merge.kif 5717-5717 range MaximalWeightedPathFn and GraphPath
(range MinimalWeightedPathFn GraphPath) Merge.kif 5692-5692 range MinimalWeightedPathFn and GraphPath
(rangeSubclass CutSetFn GraphPath) Merge.kif 5758-5758 rangeSubclass CutSetFn and GraphPath
(rangeSubclass GraphPathFn GraphPath) Merge.kif 5742-5742 rangeSubclass GraphPathFn and GraphPath
(rangeSubclass MinimalCutSetFn GraphPath) Merge.kif 5766-5766 rangeSubclass MinimalCutSetFn and GraphPath
(subclass GraphCircuit GraphPath) Merge.kif 5458-5458 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 5622-5622 domain BeginNodeFn, 1 and GraphPath
(domain EndNodeFn 1 GraphPath) Merge.kif 5633-5633 domain EndNodeFn, 1 and GraphPath
(domain PathWeightFn 1 GraphPath) Merge.kif 5652-5652 domain PathWeightFn, 1 and GraphPath
(domain pathLength 1 GraphPath) Merge.kif 5592-5592 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 5434-5444
(=>
    (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 5446-5456

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 5338-5358
(=>
    (distanceOnPath ?DIST ?PATH)
    (exists (?GP)
        (and
            (instance ?GP GraphPath)
            (abstractCounterpart ?GP ?PATH))))
Transportation.kif 2777-2782


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