Reachability Analysis of Communicating Pushdown Systems

Alexander Heussner (1) , Jérôme Leroux (1) , Anca Muscholl (1) , Grégoire Sutre (1)

1 LaBRI - Laboratoire Bordelais de Recherche en Informatique

The reachability analysis of recursive programs that communicate over asynchronous and reliable Fifo channels calls for restrictions to ensure decidability. We extend here a model proposed by La Torre, Madhusudan and Parlato [LMP08], based on communicating pushdown systems that can dequeue with empty stack only. Our extension adds the dual modality, which allows to dequeue with non-empty stack, thus modelling interrupts for working threads. We study (possibly cyclic) network architectures under a semantic assumption (mutex communication) that ensures the decidability of reachability for finite state systems. Sub- sequently, we determine precisely how pushdowns can be added to this setting while preserving the decidability; in the positive case we obtain exponential time as the exact complexity bound of reachability. A sec- ond result is a generalization of the doubly exponential time algorithm of [LMP08] for bounded context analysis to our symmetric queueing policy. We provide here a direct (and simpler) proof

Keywords: pushdown systems; asynchronous communication; fifo; distributed processes; asynchronous synchronization

Domains: Other [cs.OH]

Alexander Heussner, Jérôme Leroux, Anca Muscholl, Grégoire Sutre. Reachability Analysis of Communicating Pushdown Systems. 2010. ⟨hal-00443529⟩