What kind of relationship will you have with your AI?

How do you actually become friends with someone? Is it a slow process of getting to know each other or an instant moment, when you just hit it off? Do we enjoy staying friends with people that have become part of our lives or sometimes, with distance, we just let them go? I was Facebook-friends with this girl Claire when I was in college and we used to discuss sci-fi movies together. Though we've lost touch, I miss the friendship we had developed over a very specific topic of conversation -- sci-fi movies.