Bracketed contextual grammars are a variant of Marcus' contextual grammars with an induced Dyck-structure to control the derivation process and to provide derivation trees. Many variants of bracketed contextual grammars have been proposed in literature. In this paper, we study the relationship between various mechanisms in such grammars, in particular the number of brackets, the used selector languages, and the ability to introduce more than a single pair of brackets in a derivation step, with respect to the generative capacity of the resulting models.
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We study the generative capacity of multi-bracketed contextual rewriting grammars. This model is a generalization of multi-bracketed contextual grammars, which were studied in [Kap98a]. They possess an induced Dyck-structure to control the derivation process and to provide derivation trees. The generative capacity of this class is investigated and compared to Chomsky grammars and to tree adjoining grammars with local constraints. It will be shown that this class of grammars covers the basic natural language constructions such as duplication, multiple agreement and crossed-serial dependencies. Furthermore, two natural variants of the derivation relation, namely top-down and bottom-up derivation modes are examined.
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