as mentioned above, EBD can come without ABS (and Vice versa),... for example a simple dual circuit master cylinder in a late model VW beetle has a simplified version of EBD,.. and though it isn't called EBD, the system is serving that exact purpose.
ABS (Antiblockiersystem in german), just applies and removes pad pressure on the disc many times a second which prevents locking up and aids braking and controlling the car in a crisis situation under braking (in theory).