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IEEE Transactions on Automatic Control 55, 5 (2010) 1089-1100
Supervisory Control for Opacity
Jérémy Dubreil 1, Philippe Darondeau 2, Hervé Marchand 1
(2010-05)

In the field of computer security, a problem that received little attention so far is the enforcement of confidentiality properties by supervisory control. Given a critical system G that may leak confidential information, the problem consists in designing a controller C, possibly disabling occurrences of a fixed subset of events of G, so that the closed-loop system G/C does not leak confidential information. We consider this problem in the case where G is a finite transition system with set of events A and an inquisitive user, called the adversary, observes a subset A_a of A. The confidential information is the fact (when it is true) that the trace of the execution of G on A^* belongs to a regular set S in A^*, called the secret. The secret S is said to be opaque w.r.t. G (resp. G/C) and A_a if the adversary cannot safely infer this fact from the trace of the execution of G (resp. G/C) on A_a^*. In the converse case, the secret can be disclosed. We present an effective algorithm for computing the most permissive controller C such that S is opaque w.r.t. G/C and A_a. This algorithm subsumes two earlier algorithms working under the strong assumption that the alphabet A_a of the adversary and the set of events that the controller can disable are comparable
1:  VERTECS (INRIA)
INRIA
2:  S4 (INRIA - IRISA)
CNRS : UMR6074 – INRIA – INSA Rennes – Université de Rennes 1
Computer Science/Software Engineering
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