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Multi-grain Relations

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4783))

Abstract

In this paper, a subclass of rational relations is defined for which there is not only a global correspondence between strings of a given tuple, but also a structured correspondence between substrings. This structure is denoted in strings using postfixed inner-node markers. These relations are closed under rational operations. Some additional conditions are defined to obtain also a closure under intersection. This approach is interesting for applications where several level of analysis are relevant. An example in Natural Language Processing is given.

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References

  1. Koskenniemi, K.: Two-level morphology: a general computational model for word-form recognition and production. Technical Report 11, Department of General Linguistics, University of Helsinki (1983)

    Google Scholar 

  2. Sproat, R.: Morphology and Computation. The MIT Press, Cambridge, Massachusetts (1992)

    Google Scholar 

  3. Elgot, C.C., Mezei, J.E.: On relations defined by generalized finite automata. IBM journal of Research and Development 9, 47–68 (1965)

    Article  MATH  MathSciNet  Google Scholar 

  4. Frougny, C., Sakarovitch, J.: Synchronized rational relations of finite and infinite words. Theoretical Computer Science 108, 45–82 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  5. Comon, H., Dauchet, M., Gilleron, R., Jacquemard, F., Lugiez, D., Tison, S., Tommasi, M.: Tree automata techniques and applications (1997) release (September 6, 2005) Available on http://www.grappa.univ-lille3.fr/tata

  6. Kaplan, R.M., Kay, M.: Regular models of phonological rule systems. Computational Linguistics 20(3), 331–378 (1994)

    Google Scholar 

  7. Yli-Jyrä, A.M., Koskenniemi, K.: Compiling contextual restrictions on strings into finite-state automata. In: Proceedings of the Eindhoven FASTAR Days 2004, Eindhoven, The Netherlands (September 3–4, 2004)

    Google Scholar 

  8. Mohri, M., Pereira, F.C.N., Riley, M.: Weighted finite-state transducers in speech recognition. Computer Speech and Language 16, 69–88 (2002)

    Article  Google Scholar 

  9. Sakarovitch, J.: Éléments de theorie des automates. Éditions Vuibert (Paris, France) (2003)

    Google Scholar 

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Jan Holub Jan Žďárek

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© 2007 Springer-Verlag Berlin Heidelberg

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Barthélemy, F. (2007). Multi-grain Relations. In: Holub, J., Žďárek, J. (eds) Implementation and Application of Automata. CIAA 2007. Lecture Notes in Computer Science, vol 4783. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76336-9_23

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  • DOI: https://doi.org/10.1007/978-3-540-76336-9_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-76335-2

  • Online ISBN: 978-3-540-76336-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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