Assumption-Based Runtime Verification with Partial Observability and Resets

We consider Runtime Verification (RV) based on Propositional Linear Temporal Logic (LTL) with both future and past temporal operators. We generalize the framework to monitor partially observable systems using models of the system under scrutiny (SUS) as assumptions for reasoning on the non-observable or future behaviors of the SUS. The observations are general predicates over the SUS, thus both static and dynamic sets of observables are supported. Furthermore, the monitors are resettable, i.e. able to evaluate any LTL property at arbitrary positions of the input trace (roughly speaking, (formula presented) can be evaluated for any u and i with the underlying assumptions taken into account). We present a symbolic monitoring algorithm that can be efficiently implemented using BDD. It is proven correct and the monitor can be double-checked by model checking. As a by-product, we give the first automata-based monitoring algorithm for Past-Time LTL. Beside feasibility and effectiveness of our approach, we also demonstrate that, under certain assumptions the monitors of some properties are predictive.