Abstract: Disclosed are systems and methods that determine specification portions of Dafny code and transform those specifications into one or more annotations, expressions, comments, and/or assertions that are included in a destination code written in a destination language as part of a compilation of the Dafny code into the destination code. The annotations, expressions, comments, and/or assertions in the destination code may be utilized by a verification component, such as a Checker Framework, to detect errors that are introduced into the destination code by the compiler as part of the compilation or to verify the absence of errors in the destination code.

Abstract: A scanner head for laser material processing with a laser beam includes focusing optics, and a beam position system that influences a position of the laser beam and is upstream of the focusing optics in a direction of propagation of the laser beam. The beam position system includes at least two controllable movable optical elements by means of which an angle of incidence of the laser beam on a processing surface of a workpiece is adjustable. A processing location of the laser beam on the processing surface is also movable in two dimensions. A beam position sensor is downstream of the beam position system and is configured to detect an actual position of the laser beam or at least four independent position parameters of the laser beam.

Abstract: A scanner head for laser material processing with a laser beam includes focusing optics, and a beam position system that influences a position of the laser beam and is upstream of the focusing optics in a direction of propagation of the laser beam. The beam position system includes at least two controllable movable optical elements by means of which an angle of incidence of the laser beam on a processing surface of a workpiece is adjustable. A processing location of the laser beam on the processing surface is also movable in two dimensions. A beam position sensor is downstream of the beam position system and is configured to detect an actual position of the laser beam or at least four independent position parameters of the laser beam.

Abstract: A divergence-changing device, comprising a ray source, a substantially telecentric arrangement, having an optical system, which has a first focal point and a first system region and a second system region, and having a ray-deflecting device, which is designed such that the beam of rays from the ray source hits the ray-deflecting device, wherein the main ray would hit/hits the ray-deflecting device at the first focal point or close to the first focal point, and that the ray-deflecting device can feed the beam of rays from the ray source to the first system region at different angles of incidence, wherein the beam of rays imaged by the first system region is deflected onto the second system region by a ray-folding device, wherein the beam of rays is imaged by the second system region such that the beam of rays hits the ray-deflecting device again and leaves the divergence-changing device with a constant position.

Abstract: A divergence-changing device, comprising a ray source, a substantially telecentric arrangement, having an optical system, which has a first focal point and a first system region and a second system region, and having a ray-deflecting device, which is designed such that the beam of rays from the ray source hits the ray-deflecting device, wherein the main ray would hit/hits the ray-deflecting device at the first focal point or close to the first focal point, and that the ray-deflecting device can feed the beam of rays from the ray source to the first system region at different angles of incidence, wherein the beam of rays imaged by the first system region is deflected onto the second system region by a ray-folding device, wherein the beam of rays is imaged by the second system region such that the beam of rays hits the ray-deflecting device again and leaves the divergence-changing device with a constant position.