Skip to main content

Inference of Residual Finite-State Tree Automata from Membership Queries and Finite Positive Data

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6795))

Abstract

The area of Grammatical Inference centers on learning algorithms: Algorithms that infer a description (e.g., a grammar or an automaton) for an unknown formal language from given information in finitely many steps. Various conceivable learning settings have been outlined, and based on those a range of algorithms have been developed. One of the language classes studied most extensively with respect to its algorithmical learnability is the class of regular string languages.

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

References

  1. Angluin, D.: Learning regular sets from queries and counterexamples. Information and Computation 75(2), 87–106 (1987)

    Article  MathSciNet  MATH  Google Scholar 

  2. Denis, F., Lemay, A., Terlutte, A.: Residual finite state automata. Fundamentae Informaticae 51, 339–368 (2002)

    MathSciNet  MATH  Google Scholar 

  3. Angluin, D.: A note on the number of queries needed to identify regular languages. Information and Control 51(1), 76–87 (1981)

    Article  MathSciNet  MATH  Google Scholar 

  4. Sakakibara, Y.: Learning context-free grammars from structural data in polynomial time. Theoretical Computer Science 76(2-3), 223–242 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  5. Drewes, F., Högberg, J.: Learning a regular tree language from a teacher. In: Ésik, Z., Fülöp, Z. (eds.) DLT 2003. LNCS, vol. 2710, pp. 279–291. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  6. Besombes, J., Marion, J.-Y.: Learning tree languages from positive examples and membership queries. Theoretical Computer Science 382, 183–197 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  7. Denis, F., Lemay, A., Terlutte, A.: Learning regular languages using RFSA. In: Abe, N., Khardon, R., Zeugmann, T. (eds.) ALT 2001. LNCS (LNAI), vol. 2225, pp. 348–363. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  8. Bollig, B., Habermehl, P., Kern, C., Leucker, M.: Angluin-style learning of NFA. In: Online Proceedings of IJCAI, vol 21 (2009)

    Google Scholar 

  9. Carme, J., Gilleron, R., Lemay, A., Terlutte, A., Tommasi, M.: Residual finite tree automata. In: Ésik, Z., Fülöp, Z. (eds.) DLT 2003. LNCS, vol. 2710, pp. 171–182. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kasprzik, A. (2011). Inference of Residual Finite-State Tree Automata from Membership Queries and Finite Positive Data. In: Mauri, G., Leporati, A. (eds) Developments in Language Theory. DLT 2011. Lecture Notes in Computer Science, vol 6795. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22321-1_45

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-22321-1_45

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22320-4

  • Online ISBN: 978-3-642-22321-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics