Abstract: The invention relates to a microprocessor system for executing software modules, at least some of which are security critical, within the scope of controlling functions or tasks assigned to the software modules, comprising an intrinsically safe microprocessor module having at least two microprocessor cores. At least one further intrinsically safe microprocessor module having at least two microprocessor cores is provided. At least two microprocessor modules are connected via a bus system, at least two software modules are provided which execute functions, at least some of which overlap, the software modules having at least partially overlapping functions are distributed on a microprocessor module or n at least two microprocessor modules, and means for comparing or arbitrating events generated with the software modules for the identical functions are provided in order to detect software or hardware faults.