Specialized Armadillo work.
Man. I was getting about a flat every other ride, over a period of a month or two. I got sick of changing flats. I tried the Armadillo on my rear wheel.
That was a year and-a-half ago. I've not had one flat on my rear wheel since. Over five thousand miles.
Armadillos can't be uniquely good at preventing flats. To make a puncture-resistant tire, one could add a thicker, harder layer of rubber to the tire, and even with some room for proprietary compounds, there isn't a whole lot Specialized can do for its tires that other manufacturers could not.
For example, I have Conti Touring tires on my touring bike, and I've never flatted with those, in about a year and 3k miles of riding.
But I don't know of any road bike tires better than the Armadillo. I'm replacing my Armadillos with more Armadillos, and I'll keep buying them until something even better comes along or Specialized stops making them.