Thanks for the tip. My Olds has the "Pass Key" ignition. Once the microchip failed in the key and the starter wouldn't engage. A message flashed on the driver info display, "Defective ignition key. Wait three minutes and try again".
I waited three minutes and it started right up. Apparently after three minutes the computer bypasses the Pass Key circuit. Seems kind of defeative, but I guess the typical thief isn't going to sit there for three minutes, if he even knows about the bypass.