Diagnosability of pushdown systems

Christophe Morvan (1) , Sophie Pinchinat (2)

1 VERTECS - Verification models and techniques applied to testing and control of reactive systems
2 S4 - System synthesis and supervision, scenarios

Partial observation of discrete-event systems features a setting where events split into observable and unobservable ones. In this context, the diagnosis of a discrete-event system consists in detecting defects from the (partial) observation of its executions. Diagnosability is the property that any defect is eventually detected. Not surprisingly, it is a major issue in practical applications. We investigate diagnosability for classes of pushdown systems: it is undecidable in general, but we exhibit reasonably large classes of visibly pushdown systems where the problem is decidable. For these classes, we furthermore prove the decidability of a stronger property: the bounded latency, which guarantees the existence of a uniform bound on the respond delay after the defect has occurred. We also explore a generalization of the approach to higher-order pushdown systems.

Domaines: Mathématique discrète [cs.DM]

Christophe Morvan, Sophie Pinchinat. Diagnosability of pushdown systems. Haifa Verification Conference, Oct 2009, Haifa, Israel. ⟨inria-00525397⟩