The classical (boolean) notion of refinement for behavioral interfaces of system components is the alternating refinement preorder. In this paper, we define a distance for interfaces, called interface simulation distance. It makes the alternating refinement preorder quantitative by, intuitively, tolerating errors (while counting them) in the alternating simulation game. We show that the interface simulation distance satisfies the triangle inequality, that the distance between two interfaces does not increase under parallel composition with a third interface, that the distance between two interfaces can be bounded from above and below by distances between abstractions of the two interfaces, and how to synthesize an interface from incompatible requirements. We illustrate the framework, and the properties of the distances under composition of interfaces, with two case studies.
Theoretical Computer Science
348 - 363
Cerny P, Chmelik M, Henzinger TA, Radhakrishna A. Interface simulation distances. Theoretical Computer Science. 2014;560(3):348-363. doi:10.1016/j.tcs.2014.08.019
Cerny, P., Chmelik, M., Henzinger, T. A., & Radhakrishna, A. (2014). Interface simulation distances. Theoretical Computer Science, 560(3), 348–363. https://doi.org/10.1016/j.tcs.2014.08.019
Cerny, Pavol, Martin Chmelik, Thomas A Henzinger, and Arjun Radhakrishna. “Interface Simulation Distances.” Theoretical Computer Science 560, no. 3 (2014): 348–63. https://doi.org/10.1016/j.tcs.2014.08.019.
P. Cerny, M. Chmelik, T. A. Henzinger, and A. Radhakrishna, “Interface simulation distances,” Theoretical Computer Science, vol. 560, no. 3, pp. 348–363, 2014.
Cerny P, Chmelik M, Henzinger TA, Radhakrishna A. 2014. Interface simulation distances. Theoretical Computer Science. 560(3), 348–363.
Cerny, Pavol, et al. “Interface Simulation Distances.” Theoretical Computer Science, vol. 560, no. 3, Elsevier, 2014, pp. 348–63, doi:10.1016/j.tcs.2014.08.019.
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