Chris’s Invincible Super-Blog reviews a story where the dead Batman teams up with another hero to fight crime.
Need any more than that? How about this? :)
Also, I feel I should mention that Dr. Frankenpalmer explains that while he’ll be contributing to some of the major motor functions, Batman’s mostly going to be operating purely on reflex. Which means that Batman’s involuntary reaction to the world around him is to hunt down evil and beat the crap out of it.