As I pointed out in my first post about 'New Giant,' both Giant and Stop & Shop are owned by Royal Ahold, and both were rebranded with the funky fruit basket logo. Interestingly enough, they have continued to print the names "Giant" or "Stop & Shop" on the various items like bags, receipts, etc. However, it is pretty obvious that at some point they are going to merge into one name as the clearly share the same system.
Case in point: I got several point-of-sale coupons for baby food while I was in Connecticut, visiting a Stop & Shop. When I returned to DC, I redeemed them at Giant. No muss or fuss. The computer read them properly with no complaints. (Whoo-hoo!)
I wonder what they will call the new combined store? "Stop Giant" doesn't sound so great. I'm sure they'll come up with something.