Skip to main content

Efficient State Space Reduction for Automata by Fair Simulation

  • Conference paper
International Symposium on Fundamentals of Software Engineering (FSEN 2007)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 4767))

Included in the following conference series:

  • 359 Accesses

Abstract

State space reduction for automata is important to automata-theoretic model checking. Optimizing automata by simulation relation is a practical method. We propose an approach to simplify Büchi automata by fair simulation, which is based on integrating the method of [6] and conditions of [7]. The approach can optimize an automaton without changing the language of each state and apply the optimization immediately after finding one pair of states with fair simulation equivalence. The experimental result shows our approach needs less time than that of [6].

Supported by the National Natural Science Foundation of China under Grant No. 60573012 and 60421001, and the National Grand Fundamental Research 973 Program of China under Grant No. 2002cb312200.

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. Gastin, P., Oddoux, D.: Fast LTL to Büchi Automata Translation. In: Vardi, M.Y., Alur, R. (eds.) CAV 2001. LNCS, vol. 2102, pp. 53–65. Springer, Heidelberg (2001)

    Google Scholar 

  2. Milner, R.: Communication and Concurrency. Prentice-Hall, Englewood Cliffs (1989)

    MATH  Google Scholar 

  3. Dill, D.L., Hu, A.J., Wong-Toi, H.: Checking for language inclusion using simulation preorders. In: Larsen, K.G., SkouLecture, A. (eds.) CAV 1991. LNCS, vol. 575, pp. 255–265. Springer, Heidelberg (1991)

    Google Scholar 

  4. Etessami, K., Wilke, Th., Schuller, R.: Fair simulation relations, parity games, and state space reduction for Büchi automata. SIAM Journal of Computing 34(5), 1159–1175 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  5. Henzinger, T.A., Kupferman, O., Rajamani, S.K.: Fair simulation. In: Mazurkiewicz, A., Winkowski, J. (eds.) CONCUR 1997. LNCS, vol. 1243, pp. 273–287. Springer, Heidelberg (1997)

    Google Scholar 

  6. Gurumurthy, S., Bloem, R., Somenzi, F.: Fair Simulation Minimization. In: Brinksma, E., Larsen, K.G. (eds.) CAV 2002. LNCS, vol. 2404, pp. 610–624. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  7. Somenzi, F., Bloem, R.: Efficient Büchi automata from LTL formulae. In: Emerson, E.A., Sistla, A.P. (eds.) CAV 2000. LNCS, vol. 1855, pp. 248–263. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  8. Juvekar, S., Piterman, N.: Minimizing Generalized Buchi Automata. In: Ball, T., Jones, R.B. (eds.) CAV 2001. LNCS, vol. 2102, pp. 53–65. Springer, Heidelberg (2001)

    Google Scholar 

  9. Grädel, E., Thomas, W., Wilke, T. (eds.): Automata, Logics, and Infinite Games. LNCS, vol. 2500. Springer, Heidelberg (2002)

    MATH  Google Scholar 

  10. Yi, J., Zhang, W.: Efficient State Space Reduction for Automata by Fair Simulation. Technical Report ISCAS-LCS-07-01, Institute of Software, Chinese Academy of Sciences

    Google Scholar 

  11. Tauriainen, H., Heljanko, K.: Testing LTL formula translation into Büchi automata. International Journal on Software Tools for Technology Transfer 4(1), 57–70 (2002)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Farhad Arbab Marjan Sirjani

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Yi, J., Zhang, W. (2007). Efficient State Space Reduction for Automata by Fair Simulation. In: Arbab, F., Sirjani, M. (eds) International Symposium on Fundamentals of Software Engineering. FSEN 2007. Lecture Notes in Computer Science, vol 4767. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75698-9_25

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-75698-9_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-75697-2

  • Online ISBN: 978-3-540-75698-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics