A saturation method for collapsible pushdown systems

  • Authors:
  • Chris Broadbent;Arnaud Carayol;Matthew Hague;Olivier Serre

  • Affiliations:
  • LIAFA, Université Paris Diderot --- Paris 7 & CNRS, France;LIGM, Université Paris-Est & CNRS, France;LIAFA, Université Paris Diderot --- Paris 7 & CNRS, France, LIGM, Université Paris-Est & CNRS, France;LIAFA, Université Paris Diderot --- Paris 7 & CNRS, France

  • Venue:
  • ICALP'12 Proceedings of the 39th international colloquium conference on Automata, Languages, and Programming - Volume Part II
  • Year:
  • 2012

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Abstract

We introduce a natural extension of collapsible pushdown systems called annotated pushdown systems that replaces collapse links with stack annotations. We believe this new model has many advantages. We present a saturation method for global backwards reachability analysis of these models that can also be used to analyse collapsible pushdown systems. Beginning with an automaton representing a set of configurations, we build an automaton accepting all configurations that can reach this set. We also improve upon previous saturation techniques for higher-order pushdown systems by significantly reducing the size of the automaton constructed and simplifying the algorithm and proofs.