Towards a completeness result for model checking of security protocols
Journal of Computer Security
Intruder Deductions, Constraint Solving and Insecurity Decision in Presence of Exclusive or
LICS '03 Proceedings of the 18th Annual IEEE Symposium on Logic in Computer Science
An NP Decision Procedure for Protocol Insecurity with XOR
LICS '03 Proceedings of the 18th Annual IEEE Symposium on Logic in Computer Science
Protocol Insecurity with Finite Number of Sessions is NP-Complete
CSFW '01 Proceedings of the 14th IEEE workshop on Computer Security Foundations
Tree automata with one memory set constraints and cryptographic protocols
Theoretical Computer Science - Automata, languages and programming
Decidability of context-explicit security protocols
Journal of Computer Security - Special issue on WITS'03
Symbolic protocol analysis with an Abelian group operator or Diffie-Hellman exponentiation
Journal of Computer Security
Verification of cryptographic protocols: tagging enforces termination
Theoretical Computer Science - Foundations of software science and computation structures
Symbolic protocol analysis in presence of a homomorphism operator and exclusive or
ICALP'06 Proceedings of the 33rd international conference on Automata, Languages and Programming - Volume Part II
On intersection problems for polynomially generated sets
ICALP'06 Proceedings of the 33rd international conference on Automata, Languages and Programming - Volume Part II
The finite variant property: how to get rid of some algebraic properties
RTA'05 Proceedings of the 16th international conference on Term Rewriting and Applications
Hierarchical combination of intruder theories
RTA'06 Proceedings of the 17th international conference on Term Rewriting and Applications
Symbolic protocol analysis for monoidal equational theories
Information and Computation
Towards an Automatic Analysis of Web Service Security
FroCoS '07 Proceedings of the 6th international symposium on Frontiers of Combining Systems
Protocol Security and Algebraic Properties: Decision Results for a Bounded Number of Sessions
RTA '09 Proceedings of the 20th International Conference on Rewriting Techniques and Applications
Deciding security properties for cryptographic protocols. application to key cycles
ACM Transactions on Computational Logic (TOCL)
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We consider deducibility constraints, which are equivalent to particular Diophantine systems, arising in the automatic verification of security protocols, in presence of associative and commutative symbols. We show that deciding such Diophantine systems is, in general, undecidable. Then, we consider a simple subclass, which we show decidable. Though the solutions of these problems are not necessarily semilinear sets, we show that there are (computable) semi-linear sets whose minimal solutions are not too far from the minimal solutions of the system. Finally, we consider a small variant of the problem, for which there is a much simpler decision algorithm.