Skip to main content

A Divide & Conquer Approach to Conditional Stable Model Checking

  • Conference paper
  • First Online:
Theoretical Aspects of Computing – ICTAC 2021 (ICTAC 2021)

Abstract

We describe a stratified way to model check conditional stable properties expressed as , where \(\varphi _1, \varphi _2\) are state propositions, so as to alleviate the state space explosion problem. We prove a theorem that the proposed technique is correct and design an algorithm based on the theorem.

This research was partially supported by JSPS KAKENHI Grant Number JP19H04082.

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 64.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 84.99
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

References

  1. Aung, M.N., Phyo, Y., Do, C.M., Ogata, K.: A divide and conquer approach to eventual checking. Mathematics 9, 368 (2021). https://doi.org/10.3390/math9040368

    Article  Google Scholar 

  2. Clarke, E.M., Henzinger, T.A., Veith, H., Bloem, R.: Handbook of Model Checking. Springer, Berlin, Heidelberg (2018). https://doi.org/10.1007/978-3-319-10575-8

    Book  MATH  Google Scholar 

  3. Dolev, S.: Self-Stabilization. MIT Press, Cambridge (2000)

    Book  Google Scholar 

  4. Phyo, Y., Do, C.M., Ogata, K.: A divide and conquer approach to leads-to model checking. Comput. J. (2021). https://doi.org/10.1093/comjnl/bxaa183

  5. Phyo, Y., Do, C.M., Ogata, K.: A support tool for the L+1-layer divide and conquer approach to leads-to model checking. In: Proceedings of COMPSAC 2021. IEEE (2021). https://doi.org/10.1109/COMPSAC51774.2021.00118

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Kazuhiro Ogata .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Phyo, Y., Do, C.M., Ogata, K. (2021). A Divide & Conquer Approach to Conditional Stable Model Checking. In: Cerone, A., Ölveczky, P.C. (eds) Theoretical Aspects of Computing – ICTAC 2021. ICTAC 2021. Lecture Notes in Computer Science(), vol 12819. Springer, Cham. https://doi.org/10.1007/978-3-030-85315-0_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-85315-0_7

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-85314-3

  • Online ISBN: 978-3-030-85315-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics