I'm writing a use-case diagram in which an actor gets a notification. My question is similar to this one except that I'm not sure if my notification use-case is a crosscutting concern.
Suppose my system is an egg timer. The actor is a cook. The cook can set the interval after which the egg timer goes off. The cook also wants to hear the egg timer.
Is this the proper diagram? The cook doesn't perform the "Be Notified" action. However, if I only leave the "Set Alarm Time" use-case, it isn't specified that the egg timer should actually notify the cook.
Should I put the "Be Notified" use-case in a different type of diagram? Should I make another use-case diagram where the cook is the system and the egg timer is the actor?