Abstract
We propose a new method for controlled system synthesis on non-deterministic automata, which includes the synthesis for deadlock- freeness, as well as invariant and reachability expressions. Our technique restricts the behavior of a Kripke-structure with labeled transitions, representing the uncontrolled system, such that it adheres to a given requirement specification in an expressive modal logic, while all non-invalidating behavior is retained. This induces maximal permissiveness in the context of supervisory control. Research presented in this paper allows a system model to be constrained according to a broad set of liveness, safety and fairness specifications of desired behavior, and embraces most concepts from Ramadge-Wonham supervisory control, including controllability and marker-state reachability. The synthesis construction is formally verified using the Coq proof assistant.
Supported by the EU FP7 Programme under grant agreement No. 295261 (MEALS).
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van Hulst, A.C., Reniers, M.A., Fokkink, W.J. (2015). Maximally Permissive Controlled System Synthesis for Modal Logic. In: Italiano, G.F., Margaria-Steffen, T., Pokorný, J., Quisquater, JJ., Wattenhofer, R. (eds) SOFSEM 2015: Theory and Practice of Computer Science. SOFSEM 2015. Lecture Notes in Computer Science, vol 8939. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46078-8_19
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