I'm not saying types always model your problem properly! That's not even well specified. I'm saying that "x has type foo" is never wrong if the program typechecks properly. That's totally different, and it means that you can rely on type annotations as being correct, up-to-date documentation. You can also trust that functions are never applied to the wrong number of arguments, or the wrong types; my point is that this guarantees more, in a less expressive way, than specs.