Basically it means using some sort of feedback that the action the output was to perform, actually did. So, if you tell a valve to shut, then you need some form of indication that it did indeed shut (limit switch on valve, pressure switch downstream, flow sensor, etc...). Since the NFPA87 is concerned with fluid heaters, safety of the fuel source is a concern. When you tell a fuel valve to shut you want to ensure it did to prevent unexpected fuel leakage and possible explosion or fire. Output checking in this case would cause a alarm or further shutdown measures to occur if an output device fails to operate as instructed.