As I said earlier there are a heck of a lot of ways to make a motor, there are also a heck of a lot of vague ways to describe them 8-). One confusion is that a DC brushless is driven by a controller that effectively generates AC!, so you could describe it as an AC servo motor. You can of course get AC servo motors without magnets, in fact ANY motor can be used with some form of feedback and then be described as a servo motor..
Actually I was answering a question about the differences between a brushless DC motor and a 3-phase AC motor, by which I assumed Tim meant an induction motor, maybe I misunderstood.
Greg