[dagw]

So what we call tomato sauce, you call ketchup.

Interesting. Do you have a different word for the tomato based sauce made from fresh or canned tomatoes often used on pizzas and pasta?

[EdwardDiego]

We do tomato paste and tomato puree. Typically use the paste for a pizza base, and if you're making your own pasta sauce, tomato puree with a dollop of paste to up the tomatoeness.

[NickNameNick]

Pizza sauce (or possibly tomato paste), and pasta sauce, respectively.

Tomato Sauce and Ketchup aren't quite the same thing here - ketchup is probably stronger and thicker, but they are used the same way.