Checking Graph-Transformation Systems for Confluence

Detlef Plump

Abstract


In general, it is undecidable whether a terminating graph-transformation
system is confluent or not. We introduce the class of coverable hypergraph-transformation systems and show that confluence is decidable for coverable systems that are terminating. Intuitively, a system is coverable if its typing allows to extend each critical pair with a non-deletable context that uniquely identifies the persistent nodes of the pair. The class of coverable systems includes all hypergraph-transformation systems in which hyperedges can connect arbitrary sequences of nodes, and all graph-transformation systems with a sufficient number of unused edge labels.

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DOI: http://dx.doi.org/10.14279/tuj.eceasst.26.367

DOI (PDF): http://dx.doi.org/10.14279/tuj.eceasst.26.367.347

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