Can premium fuel prevent a DPF from clogging up?

I have read that buying premium diesel will help prevent the DPF from blocking up as it has additives in it. Is this true or am I wasting my money?

Will a pick-up's DPF be okay with mostly short trips?

I currently have a BMW 1 Series diesel that has a DPF fitted. I drive two daily trips of 15 miles with quite a bit of traffic. Over six years of ownership, I have not currently had any DPF issues but am...