Well, it's a tough one. If we consider the powers they possess. Freddy Krueger has the ability to manipulate dreams and strike fear into his victims within the dream world. However, Batman is no ordinary victim. He has faced some of the most fearsome foes in Gotham. He could use his utility belt to his advantage, maybe come up with some sort of device that could disrupt Freddy's dream powers. Also, Batman's willpower is so strong that he might be able to resist Freddy's mind games.
Freddy Krueger's story goes like this. He was a child murderer who was burned alive by the parents of his victims. Now, as a supernatural entity, he seeks revenge by entering people's dreams and causing their deaths.
Definitely not. Freddy Krueger is purely a creation of imagination for the purpose of scaring and entertaining in the realm of horror fiction. There's no real-life basis for such a character or the events associated with him.
Freddy Krueger is a horror icon known for terrorizing people in their dreams. He was a serial killer in life and gained the ability to haunt and kill in the dream world after his death.
One interesting plot twist could be that Batman gets trapped in the dream world, but instead of being a victim, he starts to use Freddy's rules against him. He could start to create his own nightmares for Freddy, based on the villains he has defeated in Gotham. This would turn the tables and show that Batman can be just as menacing in the dream world as he is in Gotham.