A method for running a computer program on computing hardware, in particular on a microprocessor. The computer program includes multiple program objects designed as tasks, for example. Transient and permanent errors are detected during the running of the computer program on the computing hardware. To be able to handle these transient errors constructively when they occur in a computer system in such a way that the functionality and function reliability of the computer system are restored within the shortest possible error tolerance time, at least one program object that has already been sent for execution is set into a defined state on detection of an error and is restarted from this state. The program object is a runtime object of the computer program, for example, also known as a task. One or more tasks that are still being executed or have already been executed on occurrence of an error are restarted and run again.