A braking system for automatic driver-independent deceleration of a vehicle includes a hydraulic vehicle brake and a backup braking system. The hydraulic vehicle brake includes an adjustable brake pressure control device. A method for automatic driver-independent deceleration of a vehicle includes decelerating the vehicle by actuating a braking pressure control device and, in response to a set point valve set in a hydraulic vehicle brake exceeding a threshold value, actuating a backup braking system.