Fahrenberg, Uli; Kretinsky, JanISTA ; Legay, Axel; Traonouez, Louis
We provide a framework for compositional and iterative design and verification of systems with quantitative information, such as rewards, time or energy. It is based on disjunctive modal transition systems where we allow actions to bear various types of quantitative information. Throughout the design process the actions can be further refined and the information made more precise. We show how to compute the results of standard operations on the systems, including the quotient (residual), which has not been previously considered for quantitative non-deterministic systems. Our quantitative framework has close connections to the modal nu-calculus and is compositional with respect to general notions of distances between systems and the standard operations.
This research was funded in part by the European Research Council (ERC) under grant agreement 267989 (QUAREM), by the Austrian Science Fund (FWF) project S11402-N23 (RiSE), and by the Czech Science Foundation, grant No. P202/12/G061.
306 - 324
FACS: Formal Aspects of Component Software
2014-09-10 – 2014-09-12
Fahrenberg U, Kretinsky J, Legay A, Traonouez L. Compositionality for quantitative specifications. In: Vol 8997. Springer; 2015:306-324. doi:10.1007/978-3-319-15317-9_19
Fahrenberg, U., Kretinsky, J., Legay, A., & Traonouez, L. (2015). Compositionality for quantitative specifications (Vol. 8997, pp. 306–324). Presented at the FACS: Formal Aspects of Component Software, Bertinoro, Italy: Springer. https://doi.org/10.1007/978-3-319-15317-9_19
Fahrenberg, Uli, Jan Kretinsky, Axel Legay, and Louis Traonouez. “Compositionality for Quantitative Specifications,” 8997:306–24. Springer, 2015. https://doi.org/10.1007/978-3-319-15317-9_19.
U. Fahrenberg, J. Kretinsky, A. Legay, and L. Traonouez, “Compositionality for quantitative specifications,” presented at the FACS: Formal Aspects of Component Software, Bertinoro, Italy, 2015, vol. 8997, pp. 306–324.
Fahrenberg U, Kretinsky J, Legay A, Traonouez L. 2015. Compositionality for quantitative specifications. FACS: Formal Aspects of Component Software, LNCS, vol. 8997, 306–324.
Fahrenberg, Uli, et al. Compositionality for Quantitative Specifications. Vol. 8997, Springer, 2015, pp. 306–24, doi:10.1007/978-3-319-15317-9_19.