Logic is fab stuff. There is a similar enzymatic paste on the market that is made by CET (not the normal toothpaste, specifically an enzyme one).

How they work is that once they mix with a dog/cat's saliva, the enzymes break down plaque without the need for brushing (although you can brush with it if you prefer). Makes it fab for cats and dogs that dont like brushing.

I use it on all of our lot, and it lasts a while too. A tip for using it with cats - blob a bit on the top of one of their front paws, and they will clean it off themselves.