A Logical Characterization for Dense-Time Visibly Pushdown Automata

  • Devendra BhaveEmail author
  • Vrunda Dave
  • Shankara Narayanan Krishna
  • Ramchandra Phawade
  • Ashutosh Trivedi
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9618)


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.


Visibly pushdown Event-clock Logical characterization 


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Devendra Bhave
    • 1
    Email author
  • Vrunda Dave
    • 1
  • Shankara Narayanan Krishna
    • 1
  • Ramchandra Phawade
    • 1
  • Ashutosh Trivedi
    • 1
    • 2
  1. 1.Indian Institute of Technology BombayMumbaiIndia
  2. 2.University of Colorado BoulderBoulderUSA

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