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Leveraging abstraction to establish out-of-nominal safety properties

Mayo, Jackson M.; Armstrong, Robert C.; Hulette, Geoffrey C.

Digital systems in an out-of-nominal environment (e.g., one causing hardware bit flips) may not be expected to function correctly in all respects but may be required to fail safely. We present an approach for understanding and verifying a system’s out-of-nominal behavior as an abstraction of nominal behavior that preserves designated critical safety requirements. Because abstraction and refinement are already widely used for improved tractability in formal design and proof techniques, this additional way of viewing an abstraction can potentially verify a system’s out-of-nominal safety with little additional work. We illustrate the approach with a simple model of a turnstile controller with possible logic faults (formalized in the temporal logic of actions and NuSMV), noting how design choices can be guided by the desired out-of-nominal abstraction. Principles of robustness in complex systems (specifically, Boolean networks) are found to be compatible with the formal abstraction approach. This work indicates a direction for broader use of formal methods in safety-critical systems.