Skip to main content

A Logical Characterization for Dense-Time Visibly Pushdown Automata

  • Conference paper
  • First Online:
Language and Automata Theory and Applications (LATA 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9618))

Included in the following conference series:

Abstract

Two of the most celebrated results that effectively exploit visual representation to give logical characterization and decidable model-checking include visibly pushdown automata (VPA) by Alur and Madhusudan and event-clock automata (ECA) by Alur, Fix and Henzinger. VPA and ECA—by making the call-return edges visible and by making the clock-reset operation visible, respectively—recover decidability for the verification problem for pushdown automata implementation against visibly pushdown automata specification and timed automata implementation against event-clock timed automata specification, respectively. In this work we combine and extend these two works to introduce dense-time visibly pushdown automata that make both the call-return as well as resets visible. We present MSO logic characterization of these automata and prove the decidability of the emptiness problem for these automata paving way for verification problem for dense-timed pushdown automata against dense-timed visibly pushdown automata specification.

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 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

References

  1. Abdulla, P., Atig, M., Stenman, J.: Dense-timed pushdown automata. In: LICS, pp. 35–44 (2012)

    Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  3. Alur, R., Fix, L., Henzinger, T.A.: Event-clock automata: a determinizable class of timed automata. TCS 211(1–2), 253–273 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  4. Alur, R., Madhusudan, P.: Visibly pushdown languages. In: Symposium on Theory of Computing, pp. 202–211 (2004)

    Google Scholar 

  5. Bhave, D., Dave, V., Krishna, S.N., Phawade, R., Trivedi, A.: A logical characterization for dense-time visibly pushdown automata. Technical report, IIT Bombay (2015). http://www.cse.iitb.ac.in/internal/techreports/reports/TR-CSE-2015-77.pdf

  6. Clemente, L., Lasota, S.: Timed pushdown automata revisited. In: LICS, pp. 738–749 (2015)

    Google Scholar 

  7. D’Souza, D.: A logical characterisation of event clock automata. Int. J. Found. Comput. Sci. 14(4), 625–640 (2003). http://dx.doi.org/10.1142/S0129054103001923

    Article  MathSciNet  MATH  Google Scholar 

  8. Lautemann, C., Schwentick, T., Thérien, D.: Logics for context-free languages. In: Pacholski, L., Tiuryn, J. (eds.) Computer Science Logic. LNCS, vol. 933, pp. 205–216. Springer, Heidelberg (1995)

    Chapter  Google Scholar 

  9. Trivedi, A., Wojtczak, D.: Recursive timed automata. In: Bouajjani, A., Chin, W.-N. (eds.) ATVA 2010. LNCS, vol. 6252, pp. 306–324. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  10. Van Tang, N., Ogawa, M.: Event-clock visibly pushdown automata. In: Nielsen, M., Kučera, A., Miltersen, P.B., Palamidessi, C., Tůma, P., Valencia, F. (eds.) SOFSEM 2009. LNCS, vol. 5404, pp. 558–569. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Devendra Bhave .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Bhave, D., Dave, V., Krishna, S.N., Phawade, R., Trivedi, A. (2016). A Logical Characterization for Dense-Time Visibly Pushdown Automata. In: Dediu, AH., Janoušek, J., Martín-Vide, C., Truthe, B. (eds) Language and Automata Theory and Applications. LATA 2016. Lecture Notes in Computer Science(), vol 9618. Springer, Cham. https://doi.org/10.1007/978-3-319-30000-9_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-30000-9_7

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-29999-0

  • Online ISBN: 978-3-319-30000-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics