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In the natural language processing and its related fields, the classic text representation methods seldom consider the role of the words order and long-distance dependency in the texts for the semantic representation. In this paper, we discussed current situation and problems of the statistical language models, especially for Head-driven statistical language model and Head-driven Phrase Structure Grammar (HPSG). And then the development and realization methods of the long-distance dependency language model simply introduced. At last graph-based long-distance dependency language model was proposed in the paper.