Non-simplifying Graph Rewriting Termination

Guillaume Bonfante
(LORIA Université de Lorraine)
Bruno Guillaume
(LORIA Inria Nancy Grand-Est)

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.

In Rachid Echahed and Detlef Plump: Proceedings 7th International Workshop on Computing with Terms and Graphs (TERMGRAPH 2013), Rome, 23th March 2013, Electronic Proceedings in Theoretical Computer Science 110, pp. 4–16.
Published: 25th February 2013.

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