When you call decrease-key in a min priority queue, you are basically setting the key, you can accidentally put a higher key, right? so why isn't it called "set-key" or "update-key"? why (according to Wikipedia and other sources) a min priority queue has "decrease-key" and a max priority queue has "increase-key"? why not have both "set-key" and if you decrease it or increase it, do what you should do to keep the heap property invariant?

I mean what if I call decrease-key on a min heap and give a bigger value? Will it throw an exception? Why not just call it "set-key" and handle any kind of value?