Parsing Free Word-Order Languages in Polynomial Time
  We present a parsing algorithm with polynomial time complexity for a large subset of V-TAG languages. V-TAG, a variant of multi-component TAG, can handle free-word order phenomena which are beyond the class LCFRS (which includes regular TAG). Our algorithm is based on a CYK-style parser for TAGs. 
Tilman Becker (U. Penn.) and Owen Rambow (Paris 7)