Relating dominance formalisms

We establish for the first time a formal relationship between dominance graphs, used for modeling semantics, and grammar formalisms with underspecified dominance links, used for modeling syntax. We present a translation of normal dominance graphs into Unordered Vector Grammars with Dominance Links (UVG-DL) and prove that the configurations of the dominance graph correspond to the derivation trees of the grammar. Moreover, the standard algorithms for both formalisms compute isomorphic charts