It has been officially confirmed that the PlayStation 4 will not support PlayStation 3 games natively. This means that any retail (i.e. disc-based) or digitally downloaded games from the Playstation Network will not be playable on the new console due to the x86 architecture.
Ok this might be a dumb question, but..... If I have a downloaded game on ps3 from the psn store (ie. minecraft) is it available to me if I get a ps4?