We define the model-measuring problem: given a model M and specification φ, what is the maximal distance ρ such that all models M′ within distance ρ from M satisfy (or violate) φ. The model measuring problem presupposes a distance function on models. We concentrate on automatic distance functions, which are defined by weighted automata. The model-measuring problem subsumes several generalizations of the classical model-checking problem, in particular, quantitative model-checking problems that measure the degree of satisfaction of a specification, and robustness problems that measure how much a model can be perturbed without violating the specification. We show that for automatic distance functions, and ω-regular linear-time and branching-time specifications, the model-measuring problem can be solved. We use automata-theoretic model-checking methods for model measuring, replacing the emptiness question for standard word and tree automata by the optimal-weight question for the weighted versions of these automata. We consider weighted automata that accumulate weights by maximizing, summing, discounting, and limit averaging. We give several examples of using the model-measuring problem to compute various notions of robustness and quantitative satisfaction for temporal specifications.
273 - 287
CONCUR: Concurrency Theory
Buenos Aires, Argentina
2013-08-27 – 2013-08-30
Henzinger TA, Otop J. From model checking to model measuring. 2013;8052:273-287. doi:10.1007/978-3-642-40184-8_20
Henzinger, T. A., & Otop, J. (2013). From model checking to model measuring. Presented at the CONCUR: Concurrency Theory, Buenos Aires, Argentina: Springer. https://doi.org/10.1007/978-3-642-40184-8_20
Henzinger, Thomas A, and Jan Otop. “From Model Checking to Model Measuring.” Lecture Notes in Computer Science. Springer, 2013. https://doi.org/10.1007/978-3-642-40184-8_20.
T. A. Henzinger and J. Otop, “From model checking to model measuring,” vol. 8052. Springer, pp. 273–287, 2013.
Henzinger TA, Otop J. 2013. From model checking to model measuring. 8052, 273–287.
Henzinger, Thomas A., and Jan Otop. From Model Checking to Model Measuring. Vol. 8052, Springer, 2013, pp. 273–87, doi:10.1007/978-3-642-40184-8_20.
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