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Sigma KEE - GraphLoop

GraphLoop(graph loop)

appearance as argument number 1

(documentation GraphLoop ChineseLanguage "这是一个由 GraphNode 联系着自己的 GraphArc。")	chinese_format.kif 2346-2346
(documentation GraphLoop EnglishLanguage "A GraphArc in which a GraphNode is linked to itself.")	Merge.kif 5752-5753
(externalImage GraphLoop "http://upload.wikimedia.org/wikipedia/commons/ 2/ 28/ 6n-graph2.svg")	pictureList.kif 1791-1791
(subclass GraphLoop GraphArc)	Merge.kif 5750-5750	Graph loop is a subclass of graph arc

appearance as argument number 2

(termFormat ChineseLanguage GraphLoop "图环路")	chinese_format.kif 943-943
(termFormat EnglishLanguage GraphLoop "graph loop")	english_format.kif 1093-1093

antecedent

(=> (and (instance ?LOOP GraphLoop) (graphPart ?LOOP ?GRAPH)) (instance ?GRAPH PseudoGraph))	Merge.kif 5711-5715	If a graph element is an instance of graph loop and the graph element is a part of a graph, then the graph is an instance of pseudo graph
(=> (instance ?LOOP GraphLoop) (exists (?NODE) (links ?NODE ?NODE ?LOOP)))	Merge.kif 5755-5758	If a graph arc is an instance of graph loop, then there exists a graph node such that the graph arc links the graph node and the graph node

consequent

(=> (and (equal (InitialNodeFn ?ARC) ?NODE) (equal (TerminalNodeFn ?ARC) ?NODE)) (instance ?ARC GraphLoop))	Merge.kif 5764-5768	If the starting node of a graph arc is equal to a graph node and the terminal node of the graph arc is equal to the graph node, then the graph arc is an instance of graph loop
(=> (instance ?GRAPH PseudoGraph) (exists (?LOOP) (and (instance ?LOOP GraphLoop) (graphPart ?LOOP ?GRAPH))))	Merge.kif 5704-5709	If a graph is an instance of pseudo graph, then there exists a graph element such that the graph element is an instance of graph loop and the graph element is a part of the graph
(=> (instance ?GRAPH Tree) (not (exists (?LOOP) (and (instance ?LOOP GraphLoop) (graphPart ?LOOP ?GRAPH)))))	Merge.kif 5590-5596	If a graph is an instance of tree, then there doesn't exist a graph element such that the graph element is an instance of graph loop and the graph element is a part of the graph
(=> (links ?NODE ?NODE ?LOOP) (instance ?LOOP GraphLoop))	Merge.kif 5760-5762	If a graph arc links a graph node and the graph node, then the graph arc is an instance of graph loop

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