Skip to main content

Converting Self-verifying Automata into Deterministic Automata

  • Conference paper
Language and Automata Theory and Applications (LATA 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5457))

Abstract

Self-verifying automata are a special variant of finite automata with a symmetric kind of nondeterminism. In this paper, we study the transformation of self-verifying automata into deterministic automata from a descriptional complexity point of view. The main result is the exact cost, in terms of the number of states, of such a simulation.

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 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Goldstine, J., Kappes, M., Kintala, C.M.R., Leung, H., Malcher, A., Wotschke, D.: Descriptional complexity of machines with limited resources. J. UCS 8(2), 193–234 (2002)

    MathSciNet  MATH  Google Scholar 

  2. Rabin, M., Scott, D.: Finite automata and their decision problems. IBM J. Res. Develop. 3, 114–125 (1959)

    Article  MathSciNet  MATH  Google Scholar 

  3. Lupanov, O.: A comparison of two types of finite automata. Problemy Kibernet 6, 321–326 (1963) (in Russian); German translation: Über den Vergleich zweier Typen endlicher Quellen, Probleme der Kybernetik 6, 329–335 (1966)

    Google Scholar 

  4. Moore, F.: On the bounds for state-set size in the proofs of equivalence between deterministic, nondeterministic, and two-way finite automata. IEEE Transactions on Computers C-20(10), 1211–1214 (1971)

    Article  MATH  Google Scholar 

  5. Meyer, A.R., Fischer, M.J.: Economy of description by automata, grammars, and formal systems. In: Proc. 12th Ann. IEEE Symp. on Switching and Automata Theory, pp. 188–191 (1971)

    Google Scholar 

  6. Ďuriš, P., Hromkovič, J., Rolim, J., Schnitger, G.: Las Vegas versus determinism for one-way communication complexity, finite automata, and polynomial-time computations. In: Reischuk, R., Morvan, M. (eds.) STACS 1997. LNCS, vol. 1200, pp. 117–128. Springer, Heidelberg (1997)

    Chapter  Google Scholar 

  7. Hromkovič, J., Schnitger, G.: Nondeterministic communication with a limited number of advice bits. SIAM J. Comput. 33(1), 43–68 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  8. Hromkovič, J., Schnitger, G.: On the power of Las Vegas for one-way communication complexity, OBDDs, and finite automata. Information and Computation 169(2), 284–296 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  9. Assent, I., Seibert, S.: An upper bound for transforming self-verifying automata into deterministic ones. Theoretical Informatics and Applications 41(3), 261–265 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  10. Moon, J., Moser, L.: On cliques in graphs. Israel J. Math. 3, 23–28 (1965)

    Article  MathSciNet  MATH  Google Scholar 

  11. Chrobak, M.: Finite automata and unary languages. Theoretical Computer Science 47, 149–158 (1986); Corrigendum. ibid 302, 497–498 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  12. Mera, F., Pighizzini, G.: Complementing unary nondeterministic automata. Theoretical Computer Science 330(2), 349–360 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  13. Holzer, M., Salomaa, K., Yu, S.: On the state complexity of k-entry deterministic finite automata. Journal of Automata, Languages and Combinatorics 6(4), 453–466 (2001)

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Jirásková, G., Pighizzini, G. (2009). Converting Self-verifying Automata into Deterministic Automata. In: Dediu, A.H., Ionescu, A.M., Martín-Vide, C. (eds) Language and Automata Theory and Applications. LATA 2009. Lecture Notes in Computer Science, vol 5457. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00982-2_39

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-00982-2_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00981-5

  • Online ISBN: 978-3-642-00982-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics