Tree-adjoining grammar

About: Tree-adjoining grammar is a research topic. Over the lifetime, 2491 publications have been published within this topic receiving 57813 citations.

Transforming Linear Context-Free Rewriting Systems into Minimalist Grammars

Abstract: The type of a minimalist grammar (MG) as introduced by Stabler [11,12] provides an attempt of a rigorous algebraic formalization of the new perspectives adopted within the linguistic framework of transformational grammar due to the change from GB-theory to minimalism. Michaelis [6] has shown that MGs constitute a subclass of mildly context-sensitive grammars in the sense that for each MG there is a weakly equivalent linear context-free rewriting system (LCFRS). However, it has been left open in [6], whether the respective classes of string languages derivable by MGs and LCFRSs coincide. This paper completes the picture by showing that MGs in the sense of [11] and LCFRSs give in fact rise to the same class of derivable string languages.

Analyzing ambiguity of context-free grammars

Abstract: It has been known since 1962 that the ambiguity problem for context-free grammars is undecidable. Ambiguity in context-free grammars is a recurring problem in language design and parser generation, as well as in applications where grammars are used as models of real-world physical structures. We observe that there is a simple linguistic characterization of the grammar ambiguity problem, and we show how to exploit this to conservatively approximate the problem based on local regular approximations and grammar unfoldings. As an application, we consider grammars that occur in RNA analysis in bioinformatics, and we demonstrate that our static analysis of context-free grammars is sufficiently precise and efficient to be practically useful.

On the Number of Non-terminal Symbols in Graph-Controlled, Programmed and Matrix Grammars

Abstract: We improve the results elaborated in [6] on the number of non-terminal symbols needed in matrix grammars, programmed grammars, and graph-controlled grammars with appearance checking for generating arbitrary recursively enumerable languages. Of special interest is the result that the number of non-terminal symbols used in the appearance checking mode can be restricted to two. In the case of graph controlled (and programmed grammars) with appearance checking also the number of non-terminal symbols can be reduced to three (and four, respectively); in the case of matrix grammars with appearance checking we either need four non-terminal symbols with three of them being used in the appearance checking mode or else again we only need two nonterminal symbols being used in the appearance checking mode, but in that case we cannot bound the total number of non-terminal symbols.

Method and apparatus for embedding grammars in a natural language understanding (NLU) statistical parser

Abstract: A method and system for use in a natural language understanding system for including grammars within a statistical parser. The method involves a series of steps. The invention receives a text input. The invention applies a first context free grammar to the text input to determine substrings and corresponding parse trees, wherein the substrings and corresponding parse trees further correspond to the first context free grammar. Additionally, the invention can examine each possible substring using an inventory of queries corresponding to the CFG.