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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)。") Merge.kif 5835-5838
(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 5830-5834
(subclass GraphPath DirectedGraph) Merge.kif 5829-5829

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


(range MaximalWeightedPathFn GraphPath) Merge.kif 6145-6145
(range MinimalWeightedPathFn GraphPath) Merge.kif 6119-6119
(rangeSubclass CutSetFn GraphPath) Merge.kif 6188-6188
(rangeSubclass GraphPathFn GraphPath) Merge.kif 6171-6171
(rangeSubclass MinimalCutSetFn GraphPath) Merge.kif 6197-6197
(subclass GraphCircuit GraphPath) Merge.kif 5864-5864
(termFormat ChineseLanguage GraphPath "图路径") chinese_format.kif 936-936
(termFormat EnglishLanguage GraphPath "graph path") english_format.kif 623-623
(termFormat FrenchLanguage GraphPath "chemin du graph") french_format.kif 612-612
(termFormat Hindi GraphPath "aalekha patha") terms-hindi.txt 143-143
(termFormat ItalianLanguage GraphPath "CamminoDelGrafo") terms-it.txt 144-144
(termFormat PortugueseLanguage GraphPath "Caminho do Grafo") portuguese_format.kif 564-564
(termFormat ar GraphPath "مَسَار المُخَطَّط") arabic_format.kif 348-348
(termFormat cb GraphPath "agianang agi") terms-cb.txt 148-148
(termFormat cz GraphPath "graph path") terms-cz.txt 180-180
(termFormat tg GraphPath "bakas na talaguhitan") terms-tg.txt 147-147

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


(domain BeginNodeFn 1 GraphPath) Merge.kif 6043-6043
(domain EndNodeFn 1 GraphPath) Merge.kif 6056-6056
(domain PathWeightFn 1 GraphPath) Merge.kif 6078-6078
(domain pathLength 1 GraphPath) Merge.kif 6007-6007

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 5840-5850
(=>
    (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 5852-5862

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 5739-5759
(=>
    (distanceOnPath ?DIST ?PATH)
    (exists (?GP)
        (and
            (instance ?GP GraphPath)
            (abstractCounterpart ?GP ?PATH))))
Transportation.kif 2713-2718


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