Characterizing Weakly Terminating Partners of Open Systems

نویسندگان

  • Christian Stahl
  • Daniela Weinberg
  • Karsten Wolf
چکیده

We study open systems modeled as finite state machines with an interface for asynchronous communication with other open systems. An open system P is a partner of an open system S, if the two systems can be composed to a closed system S ⊕ P that is weakly terminating (does not have deadlocks nor livelocks). Known controller synthesis techniques allow us to construct a most permissive partner MP(S) to a given open system S. Our contribution is to enhance MP(S) with Boolean annotations, yielding a finite characterization of all partners of S. We demonstrate the usefulness of this characterization by involving it in a decision procedure for accordance. Accordance is a canonical preorder on open systems: R accords with S if every partner of S is a partner of R. Our decision procedure reduces accordance to finding a simulation relation between MP(S) and MP(R) and checking validity of implications between related Boolean formulas.

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تاریخ انتشار 2013