This document discusses exploring higher order dependency parsers. It introduces dependency grammar and higher order parsing, which includes sibling and grandchild relations. The author experiments with augmenting parsers with semantic features like word senses and morphosyntactic features. For both English and Czech, third order grandchild parsers showed improved accuracy over first and second order parsers when augmented with these features. Semantic features worked best with sibling parsers, while morphosyntactic features worked best with grandchild parsers. Future work is proposed on higher order labeled parsing and joint extraction of senses and roles.