I don't see how a linguistic parser can cope with all the ambiguities in human speech or writing. It's more than a problem of semantics, you also have to know things about the world in which we live in order to make sense of which syntactic structure is correct.
e.g. take a sentence like "The cat sat on the rug. It meowed." Did the cat meow, or did the rug meow? You can't determine that by semantics, you have to know that cats meow and rugs don't. So to parse language well, you need to know an awful lot about the real world. Simply training your parser on lots of text and throwing neural nets at the code isn't going to fix this problem.
e.g. take a sentence like "The cat sat on the rug. It meowed." Did the cat meow, or did the rug meow? You can't determine that by semantics, you have to know that cats meow and rugs don't. So to parse language well, you need to know an awful lot about the real world. Simply training your parser on lots of text and throwing neural nets at the code isn't going to fix this problem.