There has been concern about turning off (killing) an AI. Even with Asa H 2.0 light (10 Feb. 2011 blog), however, the current active memory base is recorded and the AI can be restarted from there at some future time. The AI is only "sleeping" when its turned off.
Asa H is immortal in the sense that these memory bases can be transferred to successive machines as needed. (Another advantage of Asa over humans.)