A method is disclosed for controlling movement of machine tool systems by providing a conversational programming interface that permits a user to create a universal program for execution by various machine tool systems for machining a part, each system having at least four movable axes. The user defines program blocks including geometry definitions which are independent of any axis kinematics configuration. A first tool path relative to a first Cartesian coordinate system is generated for forming the geometry, then mapped to a second Cartesian coordinate system corresponding to the part. The mapped path is transformed to a third Cartesian coordinate system corresponding to an orientation and location of the part relative to an axis kinematics configuration of a current machine tool system. The transformed path is processed to generate positions for the movable axes of the current system.