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KB Term:  Term intersection
English Word: 

Sigma KEE - GraphArc
GraphArc

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


(documentation GraphArc ChineseLanguage "Graph 是由 GraphNodeGraphArc 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 5526-5527
(externalImage GraphArc "http://upload.wikimedia.org/wikipedia/commons/5/ 5b/ 6n-graf.svg") pictureList.kif 1789-1789
(subclass GraphArc GraphElement) Merge.kif 5524-5524

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


(subclass GraphLoop GraphArc) Merge.kif 5534-5534
(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 5602-5602
(domain TerminalNodeFn 1 GraphArc) Merge.kif 5612-5612
(domain arcWeight 1 GraphArc) Merge.kif 5644-5644
(domain links 3 GraphArc) Merge.kif 5553-5553
(partition GraphElement GraphNode GraphArc) Merge.kif 5502-5502

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 5851-5861
(=>
    (and
        (instance ?GRAPH DirectedGraph)
        (instance ?ARC GraphArc)
        (graphPart ?ARC ?GRAPH))
    (exists (?NODE1 ?NODE2)
        (and
            (equal
                (InitialNodeFn ?ARC) ?NODE1)
            (equal
                (TerminalNodeFn ?ARC) ?NODE2))))
Merge.kif 5383-5391
(=>
    (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
(=>
    (instance ?ARC GraphArc)
    (exists (?NODE1 ?NODE2)
        (links ?NODE1 ?NODE2 ?ARC)))
Merge.kif 5529-5532

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 2824-2834


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