Skip to main content

Syntactic Semiring and Universal Automaton

  • Conference paper
  • First Online:
Developments in Language Theory (DLT 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2710))

Included in the following conference series:

Abstract

We discuss the relationships between the minimal automaton, the universal automaton, the syntactic monoid and the syntactic semiring of a given regular language. We use certain completions and reductions of the transformation matrix of the minimal automaton to clarify those connections.

Supported by the Ministry of Education of the Czech Republic under the project MSM 143100009

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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J.H. Conway, Regular Algebra and Finite Machines, Chapman and Hall, Ltd., 1971

    Google Scholar 

  2. S. Lombardy, On the construction of reversible automata for reversible languages, ICALP, Springer Lecture Notes in Computer Science, Vol. 2380, pp. 170–182, 2002

    Google Scholar 

  3. S. Lombardy and J. Sakarovitch, On the star height of rational languages. A new presentation for two old results, Proc. 3rd Int. Col. on Words, Languages and Combinatorics, World Scientific, to appear

    Google Scholar 

  4. S. Lombardy and J. Sakarovitch, Star height of reversible languages and universal automata LATIN, Springer Lecture Notes in Computer Science, Vol. 2286, pp. 76–90, 2002

    Google Scholar 

  5. J.-E. Pin, Syntactic semigroups, Chapter 10 in Handbook of Formal Languages, G. Rozenberg and A. Salomaa eds, Springer, 1997

    Google Scholar 

  6. L. Polák, A classification of rational languages by semilattice-ordered monoids, submitted, see also http://www.math.muni.cz/~polak

    Google Scholar 

  7. L. Polák, Syntactic semiring of a language, Proc. Mathematical Foundations of Computer Science 2001, Springer Lecture Notes in Computer Science, Vol. 2136, 2001, pages 611–620

    Chapter  Google Scholar 

  8. L. Polák, Syntactic Semiring and Language Equations, in Proc. of the Seventh International Conference on Implementation and Application of Automata, Tours 2002, Springer Lecture Notes in Computer Science, to appear

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Polák, L. (2003). Syntactic Semiring and Universal Automaton. In: Ésik, Z., Fülöp, Z. (eds) Developments in Language Theory. DLT 2003. Lecture Notes in Computer Science, vol 2710. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45007-6_33

Download citation

  • DOI: https://doi.org/10.1007/3-540-45007-6_33

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40434-7

  • Online ISBN: 978-3-540-45007-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics