The invention relates to a machine tool for processing a plate-like workpiece, including a processing tool. The processing tool is movable relative to the workpiece and the workpiece is movable relative to the processing tool along a common movement axis. A control unit selectively actuates the processing tool and the workpiece in such a manner that in a first processing mode both the processing tool and the workpiece are moved along the common movement axis and, in a second processing mode the processing tool alone is moved along the common movement axis. The invention further relates to a method for processing a workpiece of the kind mentioned above, to a method for creating a processing program, and to a computer program product having code for performing all steps of the method for creating the processing program.