Skip to main content

Some Examples of Semi-rational DAG Languages

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4036))

Abstract

The class of semi-rational dag languages can be characterized by labeled Petri nets with ε-transitions, by rather simple leaf substituting tree grammars with additional non-local merge rules, or as a synchronization closure of Courcelles class of recognizable sets of unranked, unordered trees. However, no direct recognition by some magma is known. For a better understanding, we present here some examples of languages within and without the class of semi-rational dag 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Thomas, W.: Finite-state recognizability of graph properties. In: Krob, D. (ed.) Theorie des Automates et Applications, vol. 172, pp. 147–159. l’Université de Rouen, France (1992)

    Google Scholar 

  2. Kamimura, T., Slutzki, G.: Parallel and two-way automata on directed ordered acyclic graphs. Inf. Control 49, 10–51 (1981)

    Article  MATH  MathSciNet  Google Scholar 

  3. Comon, H., Daucher, M., Gilleron, R., Tison, S., Tommasi, M.: Tree automata techniques and application (1998), available on the Web from 13ux02.univ-lille.fr in directoty tata

  4. Brüggemann-Klein, A., Murata, M., Wood, D.: Regular tree and hedge languages of unranked alphabets. Theor. Comp. Science Center Report HKUST-TCSC 2001-5, 29pages (2001)

    Google Scholar 

  5. Courcelle, B.: On recognizable sets and tree automata. In: Aït-Kaci, H., Nivat, M. (eds.) Resolution of Equations in Algebraic Structures, vol. 1, pp. 93–126. Academic Press, London (1989)

    Google Scholar 

  6. Priese, L.: Semi-rational Sets of DAGs. In: De Felice, C., Restivo, A. (eds.) DLT 2005. LNCS, vol. 3572, pp. 385–396. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  7. Kreowski, H.J.: A comparison between Petri-nets and graph grammars. In: Noltemeier, H. (ed.) WG 1980. LNCS, vol. 100, pp. 306–317. Springer, Heidelberg (1981)

    Google Scholar 

  8. Reisig, W.: A graph grammar representation of nonsequential processes. In: Noltemeier, H. (ed.) WG 1980. LNCS, vol. 100, pp. 318–325. Springer, Heidelberg (1981)

    Google Scholar 

  9. Castellani, I., Montanara, H.: Graph grammars for distributed systems. In: Ehrig, H., Nagl, M., Rozenberg, G. (eds.) Graph Grammars 1982. LNCS, vol. 153, pp. 20–38. Springer, Heidelberg (1983)

    Chapter  Google Scholar 

  10. Genrich, H.J., Janssen, D., Rozenberg, G., Thiagarajan, P.S.: Petri nets and their relation to graph grammars. In: Ehrig, H., Nagl, M., Rozenberg, G. (eds.) Graph Grammars 1982. LNCS, vol. 153, pp. 15–129. Springer, Heidelberg (1983)

    Chapter  Google Scholar 

  11. Starke, P.: Graph grammars for Petri net processes. EIK 19, 199–233 (1983)

    MATH  MathSciNet  Google Scholar 

  12. Grabowski, J.: On partial languages. Annales Societatis Mathematicas Polonae, Fundamenta Informaticae IV.2, 428–498 (1981)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Menzel, J.R., Priese, L., Schuth, M. (2006). Some Examples of Semi-rational DAG Languages. In: Ibarra, O.H., Dang, Z. (eds) Developments in Language Theory. DLT 2006. Lecture Notes in Computer Science, vol 4036. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11779148_32

Download citation

  • DOI: https://doi.org/10.1007/11779148_32

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-35428-4

  • Online ISBN: 978-3-540-35430-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics