iBet uBet web content aggregator. Adding the entire web to your favor.
iBet uBet web content aggregator. Adding the entire web to your favor.



Link to original content: https://unpaywall.org/10.1007/978-3-319-57708-1_2
On Termination and Boundedness of Nested Updatable Timed Automata | SpringerLink
Skip to main content

On Termination and Boundedness of Nested Updatable Timed Automata

  • Conference paper
  • First Online:
Structured Object-Oriented Formal Language and Method (SOFL+MSVL 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10189))

  • 412 Accesses

Abstract

We introduce a model named nested updatable timed automata (NeUTAs), which can be regarded as a combination of nested timed automata (NeTAs) and updatable timed automata with one updatable clock (UTA1s). The model is suitable for soft real-time system analysis, since the updatable clock representing a deadline can be updated due to environments. A NeUTA behaves as a UTA1, in which all clocks can be tested/updated and a special clock can be incremented/decremented. It also behaves as a pushdown system, in which a UTA1 can be pushed to a stack or popped from a stack. When time elapses, all clocks (clocks in the current running UTA1 or in the stack) proceed uniformly. We show the termination and boundedness of NeUTAs are decidable.

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 EPUB and 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

Similar content being viewed by others

References

  1. Li, G., Cai, X., Ogawa, M., Yuen, S.: Nested timed automata. In: Braberman, V., Fribourg, L. (eds.) FORMATS 2013. LNCS, vol. 8053, pp. 168–182. Springer, Heidelberg (2013). doi:10.1007/978-3-642-40229-6_12

    Chapter  Google Scholar 

  2. Li, G., Ogawa, M., Yuen, S.: Nested timed automata with frozen clocks. In: Sankaranarayanan, S., Vicario, E. (eds.) FORMATS 2015. LNCS, vol. 9268, pp. 189–205. Springer, Cham (2015). doi:10.1007/978-3-319-22975-1_13

    Chapter  Google Scholar 

  3. Bouyer, P., Dufourd, C., Fleury, E., Petit, A.: Updatable timed automata. Theoret. Comput. Sci. 321(2–3), 291–345 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  4. Wen, Y., Li, G., Yuen, S.: On reachability analysis of updatable timed automata with one updatable clock. In: Liu, S., Duan, Z. (eds.) SOFL+MSVL 2015. LNCS, vol. 9559, pp. 147–161. Springer, Cham (2016). doi:10.1007/978-3-319-31220-0_11

    Chapter  Google Scholar 

  5. Leroux, J., Praveen, M., Sutre, G.: Hyper-ackermannian bounds for pushdown vector addition systems. In: Proceeding of the 29th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS 2014), pp. 63:1–63:10. ACM (2014)

    Google Scholar 

  6. Alur, R., Dill, D.L.: A theory of timed automata. Theoret. Comput. Sci. 126(2), 183–235 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  7. Alur, R., Courcoubetis, C., Henzinger, T.A., Ho, P.-H.: Hybrid automata: an algorithmic approach to the specification and verification of hybrid systems. In: Grossman, R.L., Nerode, A., Ravn, A.P., Rischel, H. (eds.) HS 1991-1992. LNCS, vol. 736, pp. 209–229. Springer, Heidelberg (1993). doi:10.1007/3-540-57318-6_30

    Chapter  Google Scholar 

  8. Henzinger, T.A., Kopke, P.W., Puri, A., Varaiya, P.: What’s decidable about hybrid automata? J. Comput. Syst. Sci. 57, 94–124 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  9. Henzinger, T.A.: The theory of hybrid automata. In: Inan, M.K., Kurshan, R.P. (eds.) Verification of Digital and Hybrid Systems. NATO ASI Series, vol. 170, pp. 265–292. Springer, Heidelberg (2000). doi:10.1007/978-3-642-59615-5_13

    Chapter  Google Scholar 

  10. Abdulla, P.A., Atig, M.F., Stenman, J.: Dense-timed pushdown automata. In: Proceedings of the 27th Annual IEEE Symposium on Logic in Computer Science (LICS 2012), pp. 35–44. IEEE Computer Society (2012)

    Google Scholar 

  11. Bérard, B., Haddad, S., Sassolas, M.: Interrupt timed automata: verification and expressiveness. Formal Methods Syst. Des. 40(1), 41–87 (2012)

    Article  MATH  Google Scholar 

  12. Bérard, B., Haddad, S.: Interrupt timed automata. In: Alfaro, L. (ed.) FoSSaCS 2009. LNCS, vol. 5504, pp. 197–211. Springer, Heidelberg (2009). doi:10.1007/978-3-642-00596-1_15

    Chapter  Google Scholar 

  13. Bouyer, P., Dufourd, C., Fleury, E., Petit, A.: Are timed automata updatable? In: Emerson, E.A., Sistla, A.P. (eds.) CAV 2000. LNCS, vol. 1855, pp. 464–479. Springer, Heidelberg (2000). doi:10.1007/10722167_35

    Chapter  Google Scholar 

  14. Bouyer, P., Dufourd, C., Fleury, E., Petit, A.: Expressiveness of updatable timed automata. In: Nielsen, M., Rovan, B. (eds.) MFCS 2000. LNCS, vol. 1893, pp. 232–242. Springer, Heidelberg (2000). doi:10.1007/3-540-44612-5_19

    Chapter  Google Scholar 

  15. Ouaknine, J., Worrell, J.: On the language inclusion problem for timed automata: closing a decidability gap. In: Proceedings of the 19th IEEE Symposium on Logic in Computer Science (LICS 2004), pp. 54–63. IEEE Computer Society (2004)

    Google Scholar 

  16. Abdulla, P.A., Jonsson, B.: Verifying networks of timed processes. In: Steffen, B. (ed.) TACAS 1998. LNCS, vol. 1384, pp. 298–312. Springer, Heidelberg (1998). doi:10.1007/BFb0054179

    Chapter  Google Scholar 

  17. Abdulla, P., Jonsson, B.: Model checking of systems with many identical time processes. Theoret. Comput. Sci. 290(1), 241–264 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  18. Duan, Z.: Temporal Logic and Temporal Logic Programming. Science Press, Beijing (2005)

    Google Scholar 

  19. Duan, Z., Tian, C., Zhang, L.: A decision procedure for propositional projection temporal logic with infinite models. Acta Informatica 45(1), 43–78 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  20. Duan, Z., Yang, X., Koutny, M.: Framed temporal logic programming. Sci. Comput. Program. 70(1), 31–61 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  21. Tian, C., Duan, Z., Zhang, N.: An efficient approach for abstraction-refinement in model checking. Theoret. Comput. Sci. 461, 76–85 (2012)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgements

This work is supported by National Natural Science Foundation of China with grant No. 61472240, 91318301, 61261130589, and the NSFC-JSPS bilateral joint research project with grant No. 61511140100.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Guoqiang Li .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Wang, Y., Tao, X., Li, G. (2017). On Termination and Boundedness of Nested Updatable Timed Automata. In: Liu, S., Duan, Z., Tian, C., Nagoya, F. (eds) Structured Object-Oriented Formal Language and Method. SOFL+MSVL 2016. Lecture Notes in Computer Science(), vol 10189. Springer, Cham. https://doi.org/10.1007/978-3-319-57708-1_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-57708-1_2

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-57707-4

  • Online ISBN: 978-3-319-57708-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics