On Decidability of Distributed Diagnosis Under Unbounded-Delay Communication

In this note we show that the problem of distributed diagnosis under unbounded communication delay is decidable when there is no inferencing involved among the diagnosers. The notion of joint
_infin
-diagnosability is introduced to capture the diagnosability property in this setting. We show the equivalence of joint
_infin
-diagnosability and codiagnosability, which captures the diagnosability property in the decentralized setting (i.e., one involving no communication). Thus the decidability result follows from the decidability of codiagnosability established in a previous paper. We also show that the property of joint
_infin
-diagnosability is stronger than decentralized-diagnosability introduced in a previous paper