A Functional Interpretation Scheme for D-tree Grammars

This paper suggests a new method for interpreting D-Tree Grammar (DTG) derivations that is inspired by ideas from the categorial area. The standard treatment of DTG interpretation is based on the derivation tree (a record of the steps made during the derivation) and requires that the derivation process be constrained in ways that would not otherwise be required. The new method suggested is based on the derived tree, rather than the derivation tree. As such it allows the constraints on the derivation process mentioned to be eliminated, both as an unnecessary complication of the approach and as as obstacle to possible analyses that might be formulated within the framework. A `glue language' style variant of the approach is also described, which makes possible a treatment of quantiication.