That's the term - DVR! I actually just got off the phone with Comcast. Currently you can't record two programs airing at once, or even watch one program while recording another - if you just have one dvr. They are supposed to come out with one early next year that has both those capabilities.
I went ahead & ordered it since we're going to be gone for 2 weeks in November, and I don't want to miss any of my shows. I believe it has 30 hours of recording time. So, they will be by on Saturday to install, and I can watch, tape & watch AR6!