My understanding has always been that computers flew the space shuttle through the early phase of reentry, when a very specific attitude sequence had to be maintained in order to scrub off orbital speed without roasting the wrong parts of the vehicle. But I had always thought that a human pilot (acting on all sorts of visual aids presented to him on the HUD) provided manual inputs to a joystick and was responsible for controlling the vehicle in the final few minutes before touchdown.
Or have I got that wrong? Did computers normally fly the shuttle from orbit all the way to a dead stop on the runway, and the designated pilot was there just in case the computer suffered a meltdown?