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Abstract

Linear Temporal Logic (LTL) is the standard specification language for
reactive systems and is successfully applied in industrial settings. However,
many shortcomings of LTL have been identified in the literature, among them the
limited expressiveness, the lack of quantitative features, and the inability to
express robustness. There is work on overcoming these shortcomings, but each of
these is typically addressed in isolation. This is insufficient for
applications where all shortcomings manifest themselves simultaneously. Here,
we tackle this issue by introducing logics that address more than one
shortcoming. To this end, we combine the logics Linear Dynamic Logic,
Prompt-LTL, and robust LTL, each addressing one aspect, to new logics. For all
combinations of two aspects, the resulting logic has the same desirable
algorithmic properties as plain LTL. In particular, the highly efficient
algorithmic backends that have been developed for LTL are also applicable to
these new logics. Finally, we discuss how to address all three aspects
simultaneously.