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Transition Invariants and Transition Predicate Abstraction for Program Termination

  • Andreas Podelski
  • Andrey Rybalchenko
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6605)

Abstract

Originally, the concepts of transition invariants and transition predicate abstraction were used to formulate a proof rule and an abstraction-based algorithm for the verification of liveness properties of concurrent programs under fairness assumptions. This note applies the two concepts for proving termination of sequential programs. We believe that the specialized setting exhibits the underlying principles in a more direct way.

References

  1. 1.
    Podelski, A., Rybalchenko, A.: Software model checking of liveness properties via transition invariants. Technical Report MPI-I-2003-2-004, Max-Planck-Institut für Informatik (December 2003), http://domino.mpi-inf.mpg.de/internet/reports.nsf/NumberView/2003-2-004
  2. 2.
    Podelski, A., Rybalchenko, A.: A complete method for the synthesis of linear ranking functions. In: Steffen, B., Levi, G. (eds.) VMCAI 2004. LNCS, vol. 2937, pp. 239–251. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  3. 3.
    Podelski, A., Rybalchenko, A.: Transition invariants. In: LICS 2004: Proceedings of the 19th Annual IEEE Symposium on Logic in Computer Science, Washington, DC, USA, pp. 32–41. IEEE Computer Society Press, Los Alamitos (2004)CrossRefGoogle Scholar
  4. 4.
    Podelski, A., Rybalchenko, A.: Transition predicate abstraction and fair termination. In: POPL 2005: Proceedings of the ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages, vol. 32, pp. 132–144. ACM, New York (2005)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Andreas Podelski
    • 1
  • Andrey Rybalchenko
    • 2
  1. 1.University of FreiburgGermany
  2. 2.Technische Universität MünchenGermany

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