I think from the meal plans he differentiates between simple carbs and complex carbs (although not explicit). In dinners there are a few simple carbs, but not many. Same with the afternoon snacks, very few simple carbs, and almost no complex. I assume it to mean no complex carbs like grains, pasta, bread, etc....

That being said, I have followed the plan for 4 weeks, went on vacation, gained some weight, now back on the plan (lost my vacation weight in 4 days) I think I will limit my carbs in dinners, but I don't think I will completely eliminate them forever. Once in a while I still want a "clean" meal that does include some clean carbs, like a sprouted grain tortilla, or whole wheat pasta once in a while.