Skip to main content

Measuring Information in Timed Languages

  • Conference paper
Language and Automata Theory and Applications (LATA 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7183))

  • 866 Accesses

Abstract

Timed automata and timed languages [1] constitute a beautiful discovery that opened new perspectives to automata and language theory, as well as new applications to computer-aided verification. However the theory of timed regular languages is far from being achieved. Seven years ago, in [2], I argued that developing such a theory constituted an important research challenge, and I sketched a research program in this direction. Unfortunately, when listing research tasks on timed languages I have overlooked one interesting topic: measuring size of and information content in such languages. Catching up this omission became the focus of my research and the theme of this talk.

The support of Agence Nationale de la Recherche under the project EQINOCS (ANR-11-BS02-004) is gratefully acknowledged.

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

Access this chapter

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

Institutional subscriptions

References

  1. Alur, R., Dill, D.L.: A theory of timed automata. Theoretical Computer Science 126, 183–235 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  2. Asarin, E.: Challenges in timed languages: from applied theory to basic theory (column: Concurrency). Bulletin of the EATCS 83, 106–120 (2004)

    MATH  Google Scholar 

  3. Asarin, E., Degorre, A.: Volume and Entropy of Regular Timed Languages: Analytic Approach. In: Ouaknine, J., Vaandrager, F.W. (eds.) FORMATS 2009. LNCS, vol. 5813, pp. 13–27. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  4. Asarin, E., Degorre, A.: Volume and Entropy of Regular Timed Languages: Discretization Approach. In: Bravetti, M., Zavattaro, G. (eds.) CONCUR 2009. LNCS, vol. 5710, pp. 69–83. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  5. Asarin, E., Degorre, A.: Two size measures for timed languages. In: Lodaya, K., Mahajan, M. (eds.) FSTTCS. LIPIcs, vol. 8, pp. 376–387. Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik (2010)

    Google Scholar 

  6. Basset, N.: Dynamique Symbolique et Langages Temporisés. Master’s thesis, Master Parisien de la Recherche Informatique (2010)

    Google Scholar 

  7. Basset, N., Asarin, E.: Thin and Thick Timed Regular Languages. In: Fahrenberg, U., Tripakis, S. (eds.) FORMATS 2011. LNCS, vol. 6919, pp. 113–128. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Asarin, E. (2012). Measuring Information in Timed Languages. In: Dediu, AH., Martín-Vide, C. (eds) Language and Automata Theory and Applications. LATA 2012. Lecture Notes in Computer Science, vol 7183. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28332-1_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-28332-1_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28331-4

  • Online ISBN: 978-3-642-28332-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics