The Complexity of Model Checking Mobile Ambients

  • Authors:
  • Witold Charatonik;Silvano Dal-Zilio;Andrew D. Gordon;Supratik Mukhopadhyay;Jean-Marc Talbot

  • Affiliations:
  • -;-;-;-;-

  • Venue:
  • FoSSaCS '01 Proceedings of the 4th International Conference on Foundations of Software Science and Computation Structures
  • Year:
  • 2001

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Abstract

We settle the complexity bounds of the model checking problem for the replication-free ambient calculus with public names against the ambient logic without parallel adjunct. We show that the problem is PSPACE-complete. For the complexity upper-bound, we devise a new representation of processes that remains of polynomial size during process execution; this allows us to keep the model checking procedure in polynomial space. Moreover, we prove PSPACE-hardness of the problem for several quite simple fragments of the calculus and the logic; this suggests that there are no interesting fragments with polynomial-time model checking algorithms.