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  • 标题:Non-simplifying Graph Rewriting Termination
  • 本地全文:下载
  • 作者:Guillaume Bonfante ; Bruno Guillaume
  • 期刊名称:Electronic Proceedings in Theoretical Computer Science
  • 电子版ISSN:2075-2180
  • 出版年度:2013
  • 卷号:110
  • 页码:4-16
  • DOI:10.4204/EPTCS.110.3
  • 出版社:Open Publishing Association
  • 摘要:So far, a very large amount of work in Natural Language Processing (NLP) rely on trees as the core mathematical structure to represent linguistic informations (e.g. in Chomsky's work). However, some linguistic phenomena do not cope properly with trees. In a former paper, we showed the benefit of encoding linguistic structures by graphs and of using graph rewriting rules to compute on those structures. Justified by some linguistic considerations, graph rewriting is characterized by two features: first, there is no node creation along computations and second, there are non-local edge modifications. Under these hypotheses, we show that uniform termination is undecidable and that non-uniform termination is decidable. We describe two termination techniques based on weights and we give complexity bound on the derivation length for these rewriting system.
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