Synthesizing Reactive Systems Using Robustness and Recovery Specifications

Past literature on synthesis identified the need to synthesize systems that are \emph{robust} to failures of the system in reading the inputs from the environment, and also to failures of the environment itself to satisfy our assumptions about its behavior. In this work, we propose a simple and flexible framework for synthesizing robust systems, where the user defines the required robustness via a temporal \emph{robustness specification}. For example, the user may specify that the environment is \emph{eventually} reliable, or input misreadings cannot occur more than $k$ consecutive steps, and synthesize a system under this assumption. Furthermore, our framework enables us to specify, also, a temporal \emph{recovery specification}, i.e., describing the way the system is expected to recover after a failure of the environment assumptions.
We show examples of robust systems that we have synthesized with this method by our synthesis tool {\sc Party}.