Tree Automata with One Memory, Set Constraints, and Ping-Pong Protocols

  • Authors:
  • Hubert Comon;Véronique Cortier;John Mitchell

  • Affiliations:
  • -;-;-

  • Venue:
  • ICALP '01 Proceedings of the 28th International Colloquium on Automata, Languages and Programming,
  • Year:
  • 2001

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Abstract

We introduce a class of tree automata that perform tests on a memory that is updated using function symbol application and projection. The language emptiness problem for this class of tree automata is shown to be in DEXPTIME. We also introduce a class of set constraints with equality tests and prove its decidability by completion techniques and a reduction to tree automata with one memory. Set constraints with equality tests may be used to decide secrecy for a class of cryptographic protocols that properly contains a class of memoryless "ping-pong protocols" introduced by Dolev and Yao.