Applying the graph minor theorem to the verification of graph transformation systems. (English) Zbl 1155.68410

Gupta, Aarti (ed.) et al., Computer aided verification. 20th international conference, CAV 2008, Princeton, NJ, USA, July 7–14, 2008. Proceedings. Berlin: Springer (ISBN 978-3-540-70543-7/pbk). Lecture Notes in Computer Science 5123, 214-226 (2008).
Summary: 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.
For the entire collection see [Zbl 1139.68005].


68Q42 Grammars and rewriting systems
05C83 Graph minors
05C90 Applications of graph theory
68R10 Graph theory (including graph drawing) in computer science
Full Text: DOI


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