Skip to main content

Extended Multi Bottom-Up Tree Transducers

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5257))

Abstract

Extended multi bottom-up tree transducers are defined and investigated. They are an extension of multi bottom-up tree transducers by arbitrary, not just shallow, left-hand sides of rules; this includes rules that do not consume input. It is shown that such transducers can compute any transformation that is computed by a linear extended top-down tree transducer. Moreover, the classical composition results for bottom-up tree transducers are generalized to extended multi bottom-up tree transducers. Finally, a characterization in terms of extended top-down tree transducers is presented.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Knight, K.: Criteria for reasonable syntax-based translation models. Personal communication (2007)

    Google Scholar 

  2. Knight, K., Graehl, J.: An overview of probabilistic tree transducers for natural language processing. In: Gelbukh, A. (ed.) CICLing 2005. LNCS, vol. 3406, pp. 1–24. Springer, Heidelberg (2005)

    Google Scholar 

  3. DeNeefe, S., Knight, K., Wang, W., Marcu, D.: What can syntax-based MT learn from phrase-based MT? In: EMNLP & CoNLL, pp. 755–763 (2007)

    Google Scholar 

  4. Hopcroft, J.E., Ullman, J.D.: Introduction to Automata Theory, Languages, and Computation. Addison Wesley, Reading (1979)

    MATH  Google Scholar 

  5. Graehl, J., Knight, K.: Training tree transducers. In: HLT-NAACL, pp. 105–112 (2004)

    Google Scholar 

  6. Arnold, A., Dauchet, M.: Transductions inversibles de forêts. Thèse 3ème cycle M. Dauchet, Université de Lille (1975)

    Google Scholar 

  7. Arnold, A., Dauchet, M.: Bi-transductions de forêts. In: ICALP, pp. 74–86. Edinburgh University Press (1976)

    Google Scholar 

  8. Rounds, W.C.: Mappings and grammars on trees. Math. Systems Theory 4(3), 257–287 (1970)

    Article  MATH  MathSciNet  Google Scholar 

  9. Thatcher, J.W.: Generalized2 sequential machine maps. J. Comput. System Sci. 4(4), 339–367 (1970)

    MATH  MathSciNet  Google Scholar 

  10. Steinby, M., Tîrnăucă, C.I.: Syntax-directed translations and quasi-alphabetic tree bimorphisms. In: Holub, J., Žďárek, J. (eds.) CIAA 2007. LNCS, vol. 4783, pp. 265–276. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  11. Aho, A.V., Ullman, J.D.: Syntax directed translations and the pushdown assembler. J. Comput. System Sci. 3(1), 37–56 (1969)

    MATH  MathSciNet  Google Scholar 

  12. Shabes, Y.: Mathematical and Computational Aspects of Lexicalized Grammars. PhD thesis, University of Pennsylvania (1990)

    Google Scholar 

  13. Shieber, S.M., Shabes, Y.: Synchronous tree-adjoining grammars. In: COLING, pp. 1–6 (1990)

    Google Scholar 

  14. Shieber, S.M.: Unifying synchronous tree adjoining grammars and tree transducers via bimorphisms. In: EACL. The Association for Computer Linguistics, pp. 377–384 (2006)

    Google Scholar 

  15. Arnold, A., Dauchet, M.: Morphismes et bimorphismes d’arbres. Theoret. Comput. Sci. 20, 33–93 (1982)

    Article  MATH  MathSciNet  Google Scholar 

  16. Fülöp, Z., Kühnemann, A., Vogler, H.: A bottom-up characterization of deterministic top-down tree transducers with regular look-ahead. Inf. Process. Lett. 91(2), 57–67 (2004)

    Article  Google Scholar 

  17. Fülöp, Z., Kühnemann, A., Vogler, H.: Linear deterministic multi bottom-up tree transducers. Theoret. Comput. Sci. 347(1–2), 276–287 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  18. Maletti, A.: Compositions of extended top-down tree transducers. Inform. and Comput. (to appear, 2008)

    Google Scholar 

  19. Engelfriet, J.: Bottom-up and top-down tree transformations: A comparison. Math. Systems Theory 9(3), 198–231 (1975)

    Article  MATH  MathSciNet  Google Scholar 

  20. Baker, B.S.: Composition of top-down and bottom-up tree transductions. Inform. and Control 41(2), 186–213 (1979)

    Article  MATH  MathSciNet  Google Scholar 

  21. Thatcher, J.W.: Tree automata: An informal survey. In: Currents in the Theory of Computing, pp. 143–172. Prentice Hall, Englewood Cliffs (1973)

    Google Scholar 

  22. Ganzinger, H.: Increasing modularity and language-independency in automatically generated compilers. Sci. Comput. Prog. 3(3), 223–278 (1983)

    Article  MATH  MathSciNet  Google Scholar 

  23. Giegerich, R.: Composition and evaluation of attribute coupled grammars. Acta Inform. 25(4), 355–423 (1988)

    Article  MathSciNet  Google Scholar 

  24. Kühnemann, A.: Berechnungsstärken von Teilklassen primitiv-rekursiver Programmschemata. PhD thesis, Technische Universität Dresden (1997)

    Google Scholar 

  25. Kühnemann, A.: Benefits of tree transducers for optimizing functional programs. In: Arvind, V., Ramanujam, R. (eds.) FST TCS 1998. LNCS, vol. 1530, pp. 146–157. Springer, Heidelberg (1998)

    Google Scholar 

  26. Engelfriet, J., Maneth, S.: Macro tree transducers, attribute grammars, and MSO definable tree translations. Inform. and Comput. 154(1), 34–91 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  27. Engelfriet, J.: Top-down tree transducers with regular look-ahead. Math. Systems Theory 10(1), 289–303 (1977)

    Article  MATH  MathSciNet  Google Scholar 

  28. Gécseg, F., Steinby, M.: Tree Automata. Akadémiai Kiadó, Budapest (1984)

    Google Scholar 

  29. Gécseg, F., Steinby, M.: Tree languages. In: Handbook of Formal Languages, vol. 3, pp. 1–68. Springer, Heidelberg (1997)

    Google Scholar 

  30. Lilin, E.: Une généralisation des transducteurs d’états finis d’arbres: les S-transducteurs. Thèse 3ème cycle, Université de Lille (1978)

    Google Scholar 

  31. Lilin, E.: Propriétés de clôture d’une extension de transducteurs d’arbres déterministes. In: Astesiano, E., Böhm, C. (eds.) CAAP 1981. LNCS, vol. 112, pp. 280–289. Springer, Heidelberg (1981)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Masami Ito Masafumi Toyama

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Engelfriet, J., Lilin, E., Maletti, A. (2008). Extended Multi Bottom-Up Tree Transducers. In: Ito, M., Toyama, M. (eds) Developments in Language Theory. DLT 2008. Lecture Notes in Computer Science, vol 5257. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85780-8_23

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-85780-8_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-85779-2

  • Online ISBN: 978-3-540-85780-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics