Diagnosis of repeated failures for discrete event systems with linear-time temporal logic specifications

In our earlier work, we introduced a state-based approach for the diagnosis of repeatedly occurring failures in discrete event systems (DESs). Since temporal logic provides a simpler way of specifying system properties, in this paper a temporal logic based approach for diagnosing the occurrence of a repeated number of failures is developed. Linear-time temporal logic (LTL) formulae are used to represent the specifications of DESs. Notions of pre-diagnosability for failures and diagnosability for repeated failures are introduced in the setting of temporal logic. A polynomial algorithm for the test of pre-diagnosability for failures is provided. The diagnosis problem for repeated failures in the temporal logic setting is reduced to one in a state-based setting, and so the prior results of state-based repeated failure diagnosis can be applied.