Applying the Graph Minor Theorem to the Verification of Graph Transformation Systems

  • Authors:
  • Salil Joshi;Barbara König

  • Affiliations:
  • Indian Institute of Technology, Delhi, India;Abteilung für Informatik und Angewandte Kognitionswissenschaft, Universität Duisburg-Essen, Germany

  • Venue:
  • CAV '08 Proceedings of the 20th international conference on Computer Aided Verification
  • Year:
  • 2008

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Abstract

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.