A Logic for Analyzing Abstractions of Graph Transformation Systems

  • Paolo Baldan
  • Barbara König
  • Bernhard König
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2694)


A technique for approximating the behaviour of graph transformation systems (GTSs) by means of Petri net-like structures has been recently defined in the literature. In this paper we introduce a monadic second-order logic over graphs expressive enough to characterise typical graph properties, and we show how its formulae can be effectively verified. More specifically, we provide an encoding of such graph formulae into quantifier-free formulae over Petri net markings and we characterise, via a type assignment system, a subclass of formulae F such that the validity of F over a GTS G is implied by the validity of the encoding of F over the Petri net approximation of G. This allows us to reuse existing verification techniques, originally developed for Petri nets, to model-check the logic, suitably enriched with temporal operators.


Graph Property Reachable Graph Coverability Graph State Predicate Graph Transformation System 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Paolo Baldan
    • 1
  • Barbara König
    • 2
  • Bernhard König
    • 3
  1. 1.Dipartimento di InformaticaUniversità Ca’ Foscari di VeneziaItaly
  2. 2.Institut für InformatikTechnische Universität MünchenGermany
  3. 3.Department of MathematicsUniversity of CaliforniaIrvineUSA

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