Does your dog dream?

I have 3 large dogs, a 6 y/o female, rescued American Pitbull Terrier, a 13y/o Male American Bulldog that I foster and a 2y/o male Chocolate Lab rescued at 3 weeks after his mom was run over and bottle fed. All 3 of the dogs dream multiple times a night and during naps. They twitch as if they are chasing their favorite toy or running through a field. Sometimes they wake me up making odd noises like a partial bark under their breath or a soft abnormal growl. When Sadie, the APBT is dreaming her breathing gets very heavy and sometimes she stops breathing. It is almost impossible to wake her up during a dream. It's almost impossible to get her out of bed period!
I've heard that the more a dog dreams the more active or anxious it is? Has anyone ever heard that? I can't find much online about it.