A complete abstract interpretation framework for coverability properties of WSTS

  • Authors:
  • Pierre Ganty;Jean-François Raskin;Laurent Van Begin

  • Affiliations:
  • Département d'Informatique, Université Libre de Bruxelles;Département d'Informatique, Université Libre de Bruxelles;LIAFA, Université Paris 7

  • Venue:
  • VMCAI'06 Proceedings of the 7th international conference on Verification, Model Checking, and Abstract Interpretation
  • Year:
  • 2006

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Abstract

We present an abstract interpretation based approach to solve the coverability problem of well-structured transition systems. Our approach distinguishes from other attempts in that (1) we solve this problem for the whole class of well-structured transition systems using a forward algorithm. So, our algorithm has to deal with possibly infinite downward closed sets. (2) Whereas other approaches have a non generic representation for downward closed sets of states, which turns out to be hard to devise in practice, we introduce a generic representation requiring no additional effort of implementation.