Nothing Special   »   [go: up one dir, main page]

Skip to main content

The Parameterized Complexity of Chosen Problems for Finite Automata on Trees

  • Conference paper
Language and Automata Theory and Applications (LATA 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6638))

Abstract

There are many decision problems in automata theory (including membership, emptiness, emptiness of intersection, inclusion and universality problems) that for some classes of tree automata are NP-hard. The study of their parameterized complexity allows us to find new bounds of their non-polynomial time algorithmic behaviors. We present results of such a study for classical tree automata (TA), rigid tree automata (RTA), tree automata with global equality and disequality (TAGED) and t-DAG automata.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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.

Similar content being viewed by others

References

  1. Anantharaman, S., Narendran, P., Rusinowitch, M.: Closure properties and decision problems of dag automata. Inf. Process. Lett. 94(5), 231–240 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  2. Barecka, A., Charatonik, W.: The parameterized complexity of chosen problems for finite automata on trees (2010), http://www.math.uni.wroc.pl/~barecka/papers/param_aut.pdf

  3. Barguñó, L., Creus, C., Godoy, G., Jacquemard, F., Vacher, C.: The emptiness problem for tree automata with global constraints. In: Proceedings of the 25th Annual IEEE Symposium on Logic in Computer Science (LICS 2010), pp. 263–272. IEEE Computer Society Press, Edinburgh (2010)

    Chapter  Google Scholar 

  4. Charatonik, W.: Automata on DAG representations of finite trees. Technical Report MPI-I-1999-2-001, Max-Planck-Institut für Informatik (1999)

    Google Scholar 

  5. Charatonik, W., Pacholski, L.: Set constraints with projections. Journal of the ACM 57(4), 1–37 (2010)

    MathSciNet  MATH  Google Scholar 

  6. Comon-Lundh, H., Dauchet, M., Gilleron, R., Löding, C., Jacquemard, F., Lugiez, D., Tison, S., Tommasi, M.: Tree Automata Techniques and Applications (November 2007), http://www.grappa.univ-lille3.fr/tata/

  7. Downey, R.G., Fellows, M.: Parameterized complexity. Monographs in Computer Science. Springer, New York (1999)

    Book  MATH  Google Scholar 

  8. Filiot, E., Talbot, J.M., Tison, S.: Tree automata with global constraints. Int. J. Found. Comput. Sci. 21(4), 571–596 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  9. Flum, J., Grohe, M.: Parameterized Complexity Theory. Texts in Theoretical Computer Science. An EATCS Series. Springer-Verlag New York, Inc., Secaucus (2006)

    MATH  Google Scholar 

  10. Jacquemard, F., Klay, F., Vacher, C.: Rigid tree automata. In: Dediu, A.H., Ionescu, A.M., Martín-Vide, C. (eds.) LATA 2009. LNCS, vol. 5457, pp. 446–457. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  11. Lichtenstein, O., Pnueli, A.: Checking that finite state concurrent programs satisfy their linear specification. In: POPL, pp. 97–107 (1985)

    Google Scholar 

  12. Wareham, T.: The parameterized complexity of intersection and composition operations on sets of finite-state automata. In: Yu, S., Păun, A. (eds.) CIAA 2000. LNCS, vol. 2088, pp. 302–310. Springer, Heidelberg (2001)

    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

Barecka, A., Charatonik, W. (2011). The Parameterized Complexity of Chosen Problems for Finite Automata on Trees. In: Dediu, AH., Inenaga, S., Martín-Vide, C. (eds) Language and Automata Theory and Applications. LATA 2011. Lecture Notes in Computer Science, vol 6638. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21254-3_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-21254-3_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21253-6

  • Online ISBN: 978-3-642-21254-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics