Linear generalized semi-monadic rewrite systems effectively preserve recognizability
Theoretical Computer Science
Term rewriting and all that
Maude: specification and programming in rewriting logic
Theoretical Computer Science - Rewriting logic and its applications
Reachability Analysis of Term Rewriting Systems with Timbuk
LPAR '01 Proceedings of the Artificial Intelligence on Logic for Programming
Right-Linear Finite Path Overlapping Term Rewriting Systems Effectively Preserve Recognizability
RTA '00 Proceedings of the 11th International Conference on Rewriting Techniques and Applications
Decidable Approximations of Term Rewriting Systems
RTA '96 Proceedings of the 7th International Conference on Rewriting Techniques and Applications
Decidable Approximations of Sets of Descendants and Sets of Normal Forms
RTA '98 Proceedings of the 9th International Conference on Rewriting Techniques and Applications
Rewriting for Cryptographic Protocol Verification
CADE-17 Proceedings of the 17th International Conference on Automated Deduction
Abstracting Cryptographic Protocols with Tree Automata
SAS '99 Proceedings of the 6th International Symposium on Static Analysis
Reachability Analysis over Term Rewriting Systems
Journal of Automated Reasoning
The AVISPA tool for the automated validation of internet security protocols and applications
CAV'05 Proceedings of the 17th international conference on Computer Aided Verification
The CASPA Tool: Causality-Based Abstraction for Security Protocol Analysis
CAV '08 Proceedings of the 20th international conference on Computer Aided Verification
Approximation-based tree regular model-checking
Nordic Journal of Computing
Ubiquitous verification of ubiquitous systems
SEUS'10 Proceedings of the 8th IFIP WG 10.2 international conference on Software technologies for embedded and ubiquitous systems
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Term Rewriting Systems are now commonly used as a modeling language for programs or systems. On those rewriting based models, reachability analysis, i.e. proving or disproving that a given term is reachable from a set of input terms, provides an efficient verification technique. For disproving reachability (i.e. proving non reachability of a term) on non terminating and non confluent rewriting models, Knuth-Bendix completion and other usual rewriting techniques do not apply. Using the tree automaton completion technique, it has been shown that the non reachability of a term t can be shown by computing an over-approximation of the set of reachable terms and prove that t is not in the approximation. However, when the term t is in the approximation, nothing can be said. In this paper, we refine this approach and propose a method taking advantage of the approximation to compute a rewriting path to the reachable term when it exists, i.e. produce a counter example. The algorithm has been prototyped in the Timbuk tool. We present some experiments with this prototype showing the interest of such an approach w.r.t. verification of rewriting models.