On Boundedness Problems for Pushdown Vector Addition Systems

  • Jérôme Leroux
  • Grégoire SutreEmail author
  • Patrick Totzke
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9328)


We study pushdown vector addition systems, which are synchronized products of pushdown automata with vector addition systems. The question of the boundedness of the reachability set for this model can be refined into two decision problems that ask if infinitely many counter values or stack configurations are reachable, respectively. Counter boundedness seems to be the more intricate problem. We show decidability in exponential time for one-dimensional systems. The proof is via a small witness property derived from an analysis of derivation trees of grammar-controlled vector addition systems.


Production Rule Coverability Problem Exponential Time Parse Tree Reachability Problem 
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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Jérôme Leroux
    • 1
  • Grégoire Sutre
    • 1
    Email author
  • Patrick Totzke
    • 2
  1. 1.University of Bordeaux and CNRS, LaBRI, UMR 5800TalenceFrance
  2. 2.Department of Computer ScienceUniversity of WarwickCoventryUK

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