2012-01: Applying the Graph Minor Theorem to the Verification of Graph Transformation Systems

2012-01: Applying the Graph Minor Theorem to the Verification of Graph Transformation Systems
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2012-01:将图小定理应用于图变换系统的验证

DOI:
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发表时间:
2012
期刊:
影响因子:
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通讯作者:
B. König
B. König
中科院分区:
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文献类型:
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作者:
Salil Joshi;B. König

文献摘要

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我们展示了如何将(单次推出)图转换系统的某些子类视为结构良好的转换系统,从而通过反向分析导致覆盖问题的可判定性。作为结构良好的跃迁系统所需要的井-拟序,我们使用图小序。我们给出了一个明确的后退步骤的构造,并应用我们的理论来证明领导者选举协议的正确性。
We show how to view certain subclasses of (single-pushout) graph transformation systems as well-structured transition systems, which leads to decidability of the covering problem via a backward analysis. As the well-quasi order required for a well-structured transition system we use the graph minor ordering. We give an explicit construction of the backward step and apply our theory in order to show the correctness of a leader election protocol.