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Erschienen in:
2012 | OriginalPaper | Buchkapitel
Pattern-Based Graph Abstraction
verfasst von : Arend Rensink, Eduardo Zambon
Erschienen in: Graph Transformations
Verlag: Springer Berlin Heidelberg
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We present a new abstraction technique for the exploration of graph transformation systems with infinite state spaces. This technique is based on
patterns
, simple graphs describing structures of interest that should be preserved by the abstraction. Patterns are collected into
pattern graphs
, layered graphs that capture the hierarchical composition of smaller patterns into larger ones. Pattern graphs are then abstracted to a finite universe of
pattern shapes
by collapsing equivalent patterns. This paper shows how the application of production rules can be lifted to pattern shapes, resulting in an over-approximation of the original system behaviour and thus enabling verification on the abstract level.