If it doesn't need levelling, or re-planting, I wouldn't disc it.
If you cut up the ground (assumming it is sod) to chop up the dead grass, you will be opening it up to all kinds of latent weed seeds that likely you will not like. I would either burn the dead grass, or just wait until you can chop it with the rotary cutter. Thistles, rag weed, dock, berry bushes, and all kinds of things are just waiting for some ground to open up so they can grow big and tall. Maybe not all these in the Arlington area, but it all depends on what you want to do with the ground.
IMO - Mow or burn. /forums/images/graemlins/grin.gif