If you know anything about computers, the wardens are artificial intelligence. Their programmers made appearances at the other dome, but I haven't heard anything from them here. Presumably, they are still working in the background.
One, Conscienti, is far more... primitive in terms of programming. More cut and dry. The second, Veridical, has a personality. Unfortunately, it's a smartass. I notice more people at the kiosk for requests and questions when Conscienti is "on duty".
As for what they expect, they want us to essentially play nice, not cause problems, and accept rehabilitation. They generally reward those who go along with the not causing problems part. You can gain points to make requests of them, usually for items from home.