Priority Systems
Abstract
We present a framework for the incremental construction of deadlock-free systems meeting given safety properties. The framework borrows concepts and basic results from the controller synthesis paradigm by considering a step in the construction process as a controller synthesis problem. We show that priorities are expressive enough to represent restrictions induced by deadlock-free controllers preserving safety properties. We define a correspondence between such restrictions and priorities and provide compositionality results about the preservation of this correspondence by operations on safety properties and priorities. Finally, we provide an example illustrating an application of the results.
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