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Sigma KEE - GraphArc
GraphArc

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


(documentation GraphArc ChineseLanguage "Graph 是由 GraphNode 和 GraphArc 组成，每个 GraphArc 都会联系两个 GraphNode。") chinese_format.kif 2344-2345
(documentation GraphArc EnglishLanguage "Graphs are comprised of GraphNodes and GraphArcs. Every GraphArc links two GraphNodes.") Merge.kif 5543-5544
(externalImage GraphArc "http://upload.wikimedia.org/wikipedia/commons/5/ 5b/ 6n-graf.svg") pictureList.kif 1789-1789
(subclass GraphArc GraphElement) Merge.kif 5541-5541 subclass GraphArc and GraphElement

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


(subclass GraphLoop GraphArc) Merge.kif 5551-5551 subclass GraphLoop and GraphArc
(termFormat ChineseLanguage GraphArc "图弧") chinese_format.kif 942-942
(termFormat EnglishLanguage GraphArc "graph arc") english_format.kif 1096-1096

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


(domain InitialNodeFn 1 GraphArc) Merge.kif 5619-5619 domain InitialNodeFn, 1 and GraphArc
(domain TerminalNodeFn 1 GraphArc) Merge.kif 5629-5629 domain TerminalNodeFn, 1 and GraphArc
(domain arcWeight 1 GraphArc) Merge.kif 5661-5661 domain arcWeight, 1 and GraphArc
(domain links 3 GraphArc) Merge.kif 5570-5570 domain links, 3 and GraphArc
(partition GraphElement GraphNode GraphArc) Merge.kif 5519-5519 partition GraphElement, GraphNode and GraphArc

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


(=>
    (and
        (graphMeasure ?G ?M)
        (instance ?AN GraphNode)
        (graphPart ?AN ?G)
        (graphPart ?AA ?G)
        (instance ?AA GraphArc)
        (abstractCounterpart ?AN ?PN)
        (abstractCounterpart ?AA ?PA)
        (arcWeight ?AA
            (MeasureFn ?N ?M)))
    (measure ?PA
        (MeasureFn ?N ?M)))		 Merge.kif 5868-5878
(=>
    (and
        (instance ?GRAPH DirectedGraph)
        (instance ?ARC GraphArc)
        (graphPart ?ARC ?GRAPH))
    (exists (?NODE1 ?NODE2)
        (and
            (equal
                (InitialNodeFn ?ARC) ?NODE1)
            (equal
                (TerminalNodeFn ?ARC) ?NODE2))))		 Merge.kif 5400-5408
(=>
    (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 5451-5461
(=>
    (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 5463-5473
(=>
    (instance ?ARC GraphArc)
    (exists (?NODE1 ?NODE2)
        (links ?NODE1 ?NODE2 ?ARC)))		 Merge.kif 5546-5549

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


(=>
    (and
        (instance ?TS TransitSystem)
        (instance ?T Transitway)
        (abstractCounterpart ?G ?TS)
        (systemPart ?T ?TS))
    (exists (?GA)
        (and
            (instance ?GA GraphArc)
            (abstractCounterpart ?GA ?T)
            (graphPart ?GA ?G))))		 Transportation.kif 2853-2863


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