Skip to main content

CD-Systems of Stateless Deterministic R(1)-Automata Accept All Rational Trace Languages

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6031))

Abstract

We study cooperating distributed systems (CD-systems) of restarting automata that are very restricted: they are deterministic, they cannot rewrite, but only delete symbols, they restart immediately after performing a delete operation, they are stateless, and they have a read/write window of size 1 only, that is, these are stateless deterministic R(1)-automata. We relate the class of languages that are accepted by mode = 1 computations of CD-systems of such automata to other well-studied language classes, showing in particular that it only consists of semi-linear languages, and that it includes all rational trace languages.

This work was supported by grants from the Balassi Intézet Magyar Ösztöndíj Bizottsága (MÖB) and the Deutsche Akademischer Austauschdienst (DAAD).

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   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
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. Berstel, J.: Transductions and Context-free Languages. In: Teubner Studienbücher: Informatik. Teubner, Stuttgart (1979)

    Google Scholar 

  2. Csuhaj-Varjú, E., Martín-Vide, C., Mitrana, V.: Multiset automata. In: Calude, C., Păun, G., Rozenberg, G., Salomaa, A. (eds.) Multiset Processing. LNCS, vol. 2235, pp. 69–83. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  3. Diekert, V., Rozenberg, G.: The Book of Traces. World Scientific, Singapore (1995)

    Google Scholar 

  4. Kutrib, M., Messerschmidt, H., Otto, F.: On stateless two-pushdown automata and restarting automata. In: Csuhaj-Varjú, E., Ésik, Z. (eds.) Automata and Formal Languages, AFL 2008, Proc. Computer and Automation Research Institute, pp. 257–268. Hungarian Academy of Sciences (2008)

    Google Scholar 

  5. Kutrib, M., Messerschmidt, H., Otto, F.: On stateless two-pushdown automata and restarting automata. Intern. J. Found. Comput. Sci (to appear, 2010); Extended version of [4]

    Google Scholar 

  6. Messerschmidt, H., Otto, F.: Cooperating distributed systems of restarting automata. Intern. J. Found. Comput. Sci. 18, 1333–1342 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  7. Messerschmidt, H., Otto, F.: On deterministic CD-systems of restarting automata. Intern. J. Found. Comput. Sci. 20, 185–209 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  8. Otto, F.: Restarting automata. In: Ésik, Z., Martin-Vide, C., Mitrana, V. (eds.) Recent Advances in Formal Languages and Applications. Studies in Computational Intelligence, vol. 25, pp. 269–303. Springer, Berlin (2006)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Nagy, B., Otto, F. (2010). CD-Systems of Stateless Deterministic R(1)-Automata Accept All Rational Trace Languages. In: Dediu, AH., Fernau, H., Martín-Vide, C. (eds) Language and Automata Theory and Applications. LATA 2010. Lecture Notes in Computer Science, vol 6031. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13089-2_39

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-13089-2_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-13088-5

  • Online ISBN: 978-3-642-13089-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics