Science of morals

I would like to see a science that took as axioms the basic laws of morality. It also takes basic axioms like 1=1 into account, and the Law of Non-contradiction. The basic laws of morality would be... don't kill, don't steal, don't lie, don't cheat. There may be interactions between the laws of morality and the laws of physics. I guess the closest thing to this science would be psychology. I think that is the way psychology needs to proceed. There are moral imperatives in the psychological science the same way that there are physical imperatives in physics.