Confluence of Graph Transformation Revisited

  title={Confluence of Graph Transformation Revisited},
  author={Detlef Plump},
  booktitle={Processes, Terms and Cycles},
It is shown that it is undecidable in general whether a terminating graph rewriting system is confluent or not—in contrast to the situation for term and string rewriting systems. Critical pairs are introduced to hypergraph rewriting, a generalisation of graph rewriting, where it turns out that the mere existence of common reducts for all critical pairs of a graph rewriting system does not imply local confluence. A Critical Pair Lemma for hypergraph rewriting is then established which guarantees… CONTINUE READING
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Bodlaender and Babette de Fluiter . Reduction algorithms for constructing solutions in graphs with small treewidth

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