That's because it's all valid Javascript - concatenating a string with a number is normal practice even in strongly typed languages (implicit type conversion). So, I don't see your point. If the argument 'a' had an annotation saying it should be a string, then I could understand an error from some checker tool, but then it wouldn't be vanilla JS anymore.
The Google Closure Compiler (https://developers.google.com/closure/compiler/) has been around for years and years.
It does everything you mentioned (100% optional type annotations, type inference), plus more (dead code removal, inlining, compiler-time constants).