Symbolic Backwards-Reachability Analysis for Higher-Order Pushdown Systems

  • Matthew Hague
  • C. -H. Luke Ong
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4423)


Higher-order pushdown systems (PDSs) generalise pushdown systems through the use of higher-order stacks, that is, a nested “stack of stacks” structure. We further generalise higher-order PDSs to higher-order Alternating PDSs (APDSs) and consider the backwards reachability problem over these systems. We prove that given an order-n APDS, the set of configurations from which a given regular set of configurations is reachable is itself regular and computable in n-EXPTIME. We show that the result has several useful applications in the verification of higher-order PDSs such as LTL model checking, alternation-free μ-calculus model checking, and the computation of winning regions of reachability games.


Model Check Transition Relation Linear Temporal Logic Disjunctive Normal Form Reachability Problem 
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Copyright information

© Springer Berlin Heidelberg 2007

Authors and Affiliations

  • Matthew Hague
    • 1
  • C. -H. Luke Ong
    • 1
  1. 1.Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford, OX1 3QDUK

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