Robustness in the presence of liveness

  • Authors:
  • Roderick Bloem;Krishnendu Chatterjee;Karin Greimel;Thomas A. Henzinger;Barbara Jobstmann

  • Affiliations:
  • Graz University of Technology;IST Austria (Institute of Science and Technology Austria);Graz University of Technology;IST Austria (Institute of Science and Technology Austria);CNRS/Verimag

  • Venue:
  • CAV'10 Proceedings of the 22nd international conference on Computer Aided Verification
  • Year:
  • 2010

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Abstract

Systems ought to behave reasonably even in circumstances that are not anticipated in their specifications We propose a definition of robustness for liveness specifications which prescribes, for any number of environment assumptions that are violated, a minimal number of system guarantees that must still be fulfilled This notion of robustness can be formulated and realized using a Generalized Reactivity formula We present an algorithm for synthesizing robust systems from such formulas For the important special case of Generalized Reactivity formulas of rank 1, our algorithm improves the complexity of [PPS06] for large specifications with a small number of assumptions and guarantees.