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Between a Rock and a Hard Place – Uniform Parsing for Hyperedge Replacement DAG Grammars

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Language and Automata Theory and Applications (LATA 2016)

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Abstract

Motivated by applications in natural language processing, we study the uniform membership problem for hyperedge-replacement grammars that generate directed acyclic graphs. Our major result is a low-degree polynomial-time algorithm that solves the uniform membership problem for a restricted type of such grammars. We motivate the necessity of the restrictions by two different NP-completeness results.

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References

  1. Aalbersberg, I.J., Ehrenfeucht, A., Rozenberg, G.: On the membership problem for regular DNLC grammars. Discrete Appl. Math. 13, 79–85 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  2. Banarescu, L., Bonial, C., Cai, S., Georgescu, M., Griffitt, K., Hermjakob, U., Knight, K., Koehn, P., Palmer, M., Schneider, N.: Abstract meaning representation for sembanking. In: Proceedings of 7th Linguistic Annotation Workshop, ACL 2013 (2013)

    Google Scholar 

  3. Björklund, H., Drewes, F., Ericson, P.: Between a rock and a hard place - Parsing for hyperedge replacement DAG grammars. Technical report UMINF 15.13, Umeå University (2015). http://www8.cs.umu.se/research/uminf/index.cgi

  4. Chiang, D., Andreas, J., Bauer, D., Hermann, K.M., Jones, B., Knight, K.: Parsing graphs with hyperedge replacement grammars. In: Proceedings of 51st Annual Meeting of the Association for Computational Linguistics (ACL 2013), vol. 1: Long Papers, pp. 924–932 (2013)

    Google Scholar 

  5. Drewes, F., Habel, A., Kreowski, H.J.: Hyperedge replacement graph grammars. In: Rozenberg, G. (ed.) Handbook of Graph Grammars and Computing by Graph Transformation, vol. 1: Foundations, chap. 2, pp. 95–162. World Scientific (1997)

    Google Scholar 

  6. Drewes, F., Hoffmann, B., Minas, M.: Predictive top-down parsing for hyperedge replacement grammars. In: Parisi-Presicce, F., Westfechtel, B. (eds.) ICGT 2015. LNCS, vol. 9151, pp. 19–34. Springer, Heidelberg (2015)

    Chapter  Google Scholar 

  7. Habel, A.: Hyperedge Replacement: Grammars and Languages. LNCS, vol. 643. Springer, Heidelberg (1992)

    MATH  Google Scholar 

  8. Lange, K.J., Welzl, E.: String grammars with disconnecting or a basic root of the difficulty in graph grammar parsing. Discrete Appl. Math. 16, 17–30 (1987)

    Article  MathSciNet  MATH  Google Scholar 

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Acknowledgements

We gratefully acknowledge the support from the Swedish Research Council grant 621-2011-6080 and the EU FP7 MICO project. We are furthermore grateful to the anonymous referees for various helpful comments.

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Correspondence to Petter Ericson .

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Björklund, H., Drewes, F., Ericson, P. (2016). Between a Rock and a Hard Place – Uniform Parsing for Hyperedge Replacement DAG Grammars. In: Dediu, AH., Janoušek, J., Martín-Vide, C., Truthe, B. (eds) Language and Automata Theory and Applications. LATA 2016. Lecture Notes in Computer Science(), vol 9618. Springer, Cham. https://doi.org/10.1007/978-3-319-30000-9_40

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  • DOI: https://doi.org/10.1007/978-3-319-30000-9_40

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  • Publisher Name: Springer, Cham

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