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A sensor observes a random phenomenon and transmits updates about theobserved phenomenon to a remote monitor. The sensor may experience intermittentfailures in which case the monitor will not receive any updates until thesensor has recovered. The monitor wants to keep a timely view of the observedprocess, as well as to detect any sensor failures, using the timings of theupdates. We analyze this system model from a goal-oriented and semanticcommunication point of view, where the communication has multiple goals andmultiple meanings/semantics. For the first goal, the performance is quantifiedby the age of information of the observed process at the monitor. For thesecond goal, the performance is quantified by the probability of error of themonitor's estimation of the sensor's failure status. Each arriving updatepacket brings both an information update and an indication about the sensor'sstatus. The monitor estimates the failure status of the sensor by using thetimings of the received updates. This estimation is subject to error, since along period without any update receptions may be due to a low update rate or afailure of the sensor. We examine the trade-off between these two goals. Weshow that the probability of error of estimating a sensor failure decreaseswith increased update rate, however, the age of information is minimized withan intermediate update rate (not too low or high).

Timely Multi-Goal Transmissions With an Intermittently Failing Sensor