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Building on the work by Fainekos and Pappas and the one by Donze and Maler,we introduce AvSTL, an extension of metric interval temporal logic by averagedtemporal operators. Its expressivity in capturing both space and timerobustness helps solving falsification problems, (i.e. searching for a criticalpath in hybrid system models); it does so by communicating a designer'sintention more faithfully to the stochastic optimization engine employed in afalsification solver. We also introduce a sliding window-like algorithm thatkeeps the cost of computing truth/robustness values tractable.

Time Robustness in MTL and Expressivity in Hybrid System Falsification (Extended Version)