If you have a Kenmore dishwasher that will not run, it probably needs to be reset. A blinking light on the display is an indicator to attempt a hard reset, followed by a manual reset if that doesn't work. If your dishwasher still will not reset at that point, it's time to call a Kenmore service technician out to diagnose and fix the problem.
Give your Kenmore dishwasher a hard reset by unplugging it from its power source for 30 minutes.
Plug your dishwasher back in.
Manually reset your dishwasher if it still will not operate correctly by pushing the following buttons: "Heated Dry," "Normal Wash," Heated Dry," "Normal Wash" and "Cancel."