I've seen them in the oil & gas industry defined as:
Class A Shutdowns are never inhibited, and initiate a unit shutdown any time a Class A Shutdown occurs. All Class A Shutdowns must be cleared and reset before a start can be initiated. Class A Shutdowns include Plant ESDD (Emergency Shutdown and Depressure), Unit ESD Push Button, Fire Detection, and Gas Detection.
Class B Shutdowns are inhibited for a period of time after unit start is initiated. This allows the inhibited devices a specific time period to attain their acceptable levels. Pre-lube oil pressure, as an example, is inhibited for a period of time during the start sequence.
Class C Shutdowns are inhibited until specific process conditions “arm” the specific shutdown.