First, that was about Oblivion. Second, Oblivion has sucky AI. Third, there is a vast difference between what we currently understand as AI and what actually constitutes intelligence.

Currently, we have computer systems which can, to an extremely high degree of accuracy and efficiency, sort through data, allocate things, and generally perform various difficult but simple tasks very well.

What they cannot do - yet - is actually think. We'll have computers with the raw power of the Human brain in another two or three decades, but actual intelligence won't exist until probably the 40s or 50s. Once we do create something which can think, a great many things become a great deal more complex.

First of all, we'll pretty much be able to call our species gods. Second, intelligent computers will be deserving of the same rights and freedoms as biological organisms are. Third, they will be able to hold exactly the same positions as we can. How and even whether we actually implement these things remains to be seen - my money is on a civil rights movement for computer intelligences occuring at some point soon after their development - but from a moral perspective sapience is all that matters. I expect a fairly strong neo-Luddism movement will emerge, however.

What we will see is judges who are augmented Humans - as pretty much the entire species will become enhanced through genetics, nanotechnology, and cybenetics. There won't, ultimately, be much if any distinction between biological Humans and computer Humans, especially as the former will be able to exist entirely in cyberspace and the latter will be able to use physical bodies in meatspace.

As to a simple algorithm, in the modern-day popular understanding of AI, I do not think we will see a situation where they are used to adjudicate legal proceedings. Even if one is created which can reasonably serve such a purpose, by the time the resistence to such is worn down, the far more powerful True AI will likely have come into existence.