Efficient Algorithms for Alternating Pushdown Systems with an Application to the Computation of Certificate Chains

  • Dejvuth Suwimonteerabuth
  • Stefan Schwoon
  • Javier Esparza
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4218)


Motivated by recent applications of pushdown systems to computer security problems, we present an efficient algorithm for the reachability problem of alternating pushdown systems. Although the algorithm is exponential, a careful analysis reveals that the exponent is usually small in typical applications. We show that the algorithm can be used to compute winning regions in pushdown games. In a second contribution, we observe that the algorithm runs in polynomial time for a certain subproblem, and show that the computation of certificate chains with threshold certificates in the SPKI/SDSI authorization framework can be reduced to this subproblem. We present a detailed complexity analysis of the algorithm and its application, and report on experimental results obtained with a prototype implementation.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Dejvuth Suwimonteerabuth
    • 1
  • Stefan Schwoon
    • 1
  • Javier Esparza
    • 1
  1. 1.Institut für Formale Methoden der InformatikUniversität StuttgartStuttgartGermany

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