Conference paper

LENGÁL Ondřej, LIN Anthony W., MAJUMDAR Rupak and RUMMER Philipp. Fair Termination for Parameterized Probabilistic Concurrent Systems. In: Proceedings of TACAS'17. Heidelberg: Springer Verlag, 2017, pp. 499-517. ISBN 978-3-662-46680-3.
Publication language:english
Original title:Fair Termination for Parameterized Probabilistic Concurrent Systems
Title (cs):Spravedlivá terminace pro parametrické pravděpodobnostní paralelní systémy
Proceedings:Proceedings of TACAS'17
Conference:European Joint Conferences on Theory and Practice of Software -- ETAPS'17 (TACAS'17)
Series:LNCS 10205
Place:Heidelberg, DE
Publisher:Springer Verlag
Probabilistic verification
Parameterized verification
Regular model checking
We consider the problem of automatically verifying that a parameterized family of probabilistic concurrent systems terminates with probability one for all instances against adversarial schedulers. A parameterized family defines an infinite-state system: for each number n, the family consists of an instance with n finite-state processes. In contrast to safety, the parameterized verification of liveness is currently still considered extremely challenging especially in the presence of probabilities in the model. One major challenge is to provide a sufficiently powerful symbolic framework. One well-known symbolic framework for the parameterized verification of non-probabilistic concurrent systems is regular model checking. Although the framework was recently extended to probabilistic systems, incorporating fairness in the framework - often crucial for verifying termination - has been especially difficult due to the presence of an infinite number of fairness constraints (one for each process). Our main contribution is a systematic, regularity-preserving, encoding of finitary fairness (a realistic notion of fairness proposed by Alur & Henzinger) in the framework of regular model checking for probabilistic parameterized systems. Our encoding reduces termination with finitary fairness to verifying parameterized termination without fairness over probabilistic systems in regular model checking (for which a verification framework already exists). We show that our algorithm could verify termination for many interesting examples from distributed algorithms (Hermans protocol) and evolutionary biology (Moran process, cell cycle switch), which do not hold under the standard notion of fairness. To the best of our knowledge, our algorithm is the first fully-automatic method that can prove termination for these examples.
   author = {Ond{\v{r}}ej Leng{\'{a}}l and W. Anthony Lin and Rupak
	Majumdar and Philipp Rummer},
   title = {Fair Termination for Parameterized Probabilistic Concurrent
   pages = {499--517},
   booktitle = {Proceedings of TACAS'17},
   series = {LNCS 10205},
   year = {2017},
   location = {Heidelberg, DE},
   publisher = {Springer Verlag},
   ISBN = {978-3-662-46680-3},
   language = {english},
   url = {}

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