Incremental, Inductive Coverability

  • Johannes Kloos
  • Rupak Majumdar
  • Filip Niksic
  • Ruzica Piskac
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8044)


We give an incremental, inductive (IC3) procedure to check coverability of well-structured transition systems. Our procedure generalizes the IC3 procedure for safety verification that has been successfully applied in finite-state hardware verification to infinite-state well-structured transition systems. We show that our procedure is sound, complete, and terminating for downward-finite well-structured transition systems —where each state has a finite number of states below it— a class that contains extensions of Petri nets, broadcast protocols, and lossy channel systems.

We have implemented our algorithm for checking coverability of Petri nets. We describe how the algorithm can be efficiently implemented without the use of SMT solvers. Our experiments on standard Petri net benchmarks show that IC3 is competitive with state-of-the-art implementations for coverability based on symbolic backward analysis or expand-enlarge-and-check algorithms both in time and space usage.


Model Check Global State Coverability Problem Priority Queue Broadcast Protocol 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Johannes Kloos
    • 1
    • 2
  • Rupak Majumdar
    • 1
    • 2
  • Filip Niksic
    • 1
    • 2
  • Ruzica Piskac
    • 1
    • 2
  1. 1.MPI-SWSKaiserslauternGermany
  2. 2.MPI-SWSSaarbrückenGermany

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