The next step is to create pizzarule.com with an Apple marketing-inspired design explaining how all food is some derivative of pizza.
All food evolves into pizza given enough time, or something like that.
I think the cube rule should really be amended such that toast is actually "open-faced sandwich". Toast is just bread. Toast with toppings, such as pizza, is actually an open-faced sandwich.
It might be casual heresy but it is right.
That's a perfectly good synonym, but god no don't make one category be "X" and another category be "A B X". That will cause nothing but confusion.
I ordered a bruschetta in Nice (France), and got something that looked like a mini pizza.