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Parameterized verification of networks of many identical processesVérification paramétrée de réseaux composés d'une multitude de processus identiques

Abstract : This thesis deals with formal verification of distributed systems. Model checking is a technique for verifying that the model of a system under study fulfills a given property. This PhD investigates the parameterized verification of networks composed of many identical processes for which the number of processes is the parameter. Considering networks of probabilistic timed protocols, we show that the parameterized reachability and synchronization problems are undecidable when the communication topology is a clique. However, assuming probabilistic creation and deletion of processes, the problems become decidable. Regarding selective networks, where the messages only reach a subset of the components, we show decidability of the parameterized reachability problem thanks to reduction to a new model of distributed two-player games for which we prove decidability in coNP of the game problem. Finally, we consider local strategies that enforce all processes to resolve the non-determinism only according to their own local knowledge. Under this assumption of local strategy, we were able to show that the parameterized reachability and synchronization problems are NP-complete.
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Paulin Fournier. Parameterized verification of networks of many identical processesVérification paramétrée de réseaux composés d'une multitude de processus identiques. Networking and Internet Architecture [cs.NI]. Université Rennes 1, 2015. English. ⟨NNT : 2015REN1S170⟩. ⟨tel-01355847⟩

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