Allumwandlung (AUW for short) is German for "complete promotion", that is, during the problem a pawn is promoted to a knight, bishop, rook, and queen. In a two mover one way to accomplish AUW is through a twinning or quadrupling as it would be.

Here is my attempt at AUW. I was inspired by the below matrix to make a quadruplet that accomplishes AUW but does not have crude keys. However the alterations are too much to be considered as an actual quadruplet. Scroll down for solution.

A classic from the German miniaturist. This is a progressive twin which means that c) is derived from b)'s diagram and d) is derived from c), Each progression reduces one piece. Very elegant but the keys are crude  checking or flight taking. Click on the diagram for the solution. 
Now a try problem. The bK has three flights, none of them with mates provided. The wP on c7 is begging to be promoted. Each possible promotion leads to a different try: 1.c8=Q stalemate! 1.c8=R 2.Ke6! 1.c8=B 2.Kc6! 1.c8=S 1.Kc4!. Each under promotion is refuted by a unique flight of the king. What remains is to provide the bK a fourth flight on e4 giving the star flight theme. 
Finally we end with a two mover that accomplishes black AUW and combines with another theme: combinative separation. The key makes 3 different threats and all possible combinations \(7=2^31\) of these threats are given by black's possible moves (4 different from the bPg2's possible promotions). Very mathematical! Click on the diagram for solution. 
Solution: The promotions go in turn: (a) 1.f8=S (b) 1.f8=B (c) 1.e8=R (d) 1.f8=Q. As mentioned above none of the keys take any flight squares from the king, in fact, they give flight squares in (a) and (b) by setting up indirect batteries and sacrificing the wS.