Binary Reachability Analysis of Discrete Pushdown Timed Automata

  • Zhe Dang
  • Oscar H. Ibarra
  • Tevfik Bultan
  • Richard A. Kemmerer
  • Jianwen Su
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1855)


We introduce discrete pushdown timed automata that are timed automata with integer-valued clocks augmented with a pushdown stack. A configuration of a discrete pushdown timed automaton includes a control state, finitely many clock values and a stack word. Using a pure automata-theoretic approach, we show that the binary reachability (i.e., the set of all pairs of configurations (α,β), encoded as strings, such that α can reach β through 0 or more transitions) can be accepted by a nondeterministic pushdown machine augmented with reversal-bounded counters (NPCM). Since discrete timed automata with integer-valued clocks can be treated as discrete pushdown timed automata without the pushdown stack, we can show that the binary reachability of a discrete timed automaton can be accepted by a nondeterministic reversal-bounded multicounter machine. Thus, the binary reachability is Presburger. By using the known fact that the emptiness problem is decidable for reversal-bounded NPCMs, the results can be used to verify a number of properties that can not be expressed by timed temporal logics for discrete timed automata and CTL* for pushdown systems.


Model Check Safety Property Defense Advance Research Project Agency Boolean Combination Symbolic Model Check 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Zhe Dang
    • 1
  • Oscar H. Ibarra
    • 1
  • Tevfik Bultan
    • 1
  • Richard A. Kemmerer
    • 1
  • Jianwen Su
    • 1
  1. 1.Department of Computer ScienceUniversity of CaliforniaSanta BarbaraUSA

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