Maximally Permissive Controlled System Synthesis for Modal Logic

Abstract

Abstract. We propose a new method for controlled system synthesis on non-deterministic automata, which includes the synthesis for deadlockfreeness, 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. Synthesis is defined in this paper as a formal construction, which allowed a careful validation of its correctness using the Coq proof assistant.

Maximally permissive controlled system synthesis for non-determinism and modal logic

“…This paper improves upon a previous conference publication (van Hulst et al 2015) by expanding the intuitive explanation of the synthesis setup, providing all proofs in detail, an analysis of the synthesis method in algorithmic form, a detailed comparison to RamadgeWonham supervisory control, and the inclusion of case studies. In addition, after a careful study we fixed an apparent too restrictive definition of the synthesizability predicate in van Hulst et al (2015) which relates to properly achieving controllability.…”

“…In addition, after a careful study we fixed an apparent too restrictive definition of the synthesizability predicate in van Hulst et al (2015) which relates to properly achieving controllability.…”

Maximal Synthesis for Hennessy-Milner Logic

“…While Hennessy-Milner Logic has limited expressibility, it is able to specify a rich class of safety and liveness properties, and the approach taken in this article may serve as a foundational step toward the synthesis for more expressive logics. Recent work by the same authors of this article explores synthesis for more expressive modal specification formalisms [van Hulst et al 2014[van Hulst et al , 2015, but due to the nature of these approaches, a proper definition of synthesis for disjunction, as appears in this article, is not possible.…”

Synthesizing least-limiting guidelines for safety of semi-autonomous systems

“…These works however synthesize the assumptions in the form of logic formulas, whereas we focus on guiding the adversary through explicitly enumerating the inputs that should not be applied. Synthesis of maximally permissive strategies is considered in [4] and also in discrete-event systems literature in [17], where however, only controllable inputs are being restricted. Our approach is different to the above works, since we aim for systematic construction of reactive guidelines in the sense that if the least-limiting adviser is not followed, a suitable substitute adviser is supplied if such exists.…”