Specifying User Preferences Using Weighted Signal Temporal Logic

We extend Signal Temporal Logic (STL) to enable the specification of importance and priorities. The extension, called Weighted STL (wSTL), has same qualitative (Boolean) semantics as STL, but additionally defines weights associated with Boolean temporal operators that modulate its quantitative (robustness). show robustness wSTL can be defined weighted generalizations all known compatible functionals (i.e., scores are recursively over formulae) take into account in formulae. utilize this distinguish signals respect a desired formula subformulae different or priorities time preferences, demonstrate usefulness problems conflicting tasks where satisfaction cannot achieved. also employ an optimization framework synthesize controllers maximize user specified preferences.