We propose a meta-grammatical framework for dependency grammar,
accommodating any number of dimensions and restricting their licensed
models through the application of parametric principles. We first
instantiate this framework to obtain the version of Topological
Dependency Grammar (TDG) proposed by Duchier and Debusmann 2001. We
then describe an extended instantiation which adds support for
semantic dependencies (thus also providing an account of control and
raising constructions) and meaning assembly
