Recently there has been a significant effort to handle quantitative properties in formal verification and synthesis. While weighted automata over finite and infinite words provide a natural and flexible framework to express quantitative properties, perhaps surprisingly, some basic system properties such as average response time cannot be expressed using weighted automata, nor in any other know decidable formalism. In this work, we introduce nested weighted automata as a natural extension of weighted automata which makes it possible to express important quantitative properties such as average response time. In nested weighted automata, a master automaton spins off and collects results from weighted slave automata, each of which computes a quantity along a finite portion of an infinite word. Nested weighted automata can be viewed as the quantitative analogue of monitor automata, which are used in run-time verification. We establish an almost complete decidability picture for the basic decision problems about nested weighted automata, and illustrate their applicability in several domains. In particular, nested weighted automata can be used to decide average response time properties.
Proceedings - Symposium on Logic in Computer Science
This research was funded in part by the European Research Council (ERC) under grant agreement 267989 (QUAREM), by the Austrian Science Fund (FWF) projects S11402-N23 (RiSE), Z211-N23 (Wittgenstein Award), FWF Grant No P23499- N23, FWF NFN Grant No S11407-N23 (RiSE), ERC Start grant (279307: Graph Games), and Microsoft faculty fellows award. A Technical Report of the paper is available at: https://repository.ist.ac.at/331/
LICS: Logic in Computer Science
2015-07-06 – 2015-07-10
Chatterjee K, Henzinger TA, Otop J. Nested weighted automata. In: Proceedings - Symposium on Logic in Computer Science. Vol 2015-July. IEEE; 2015. doi:10.1109/LICS.2015.72
Chatterjee, K., Henzinger, T. A., & Otop, J. (2015). Nested weighted automata. In Proceedings - Symposium on Logic in Computer Science (Vol. 2015–July). Kyoto, Japan: IEEE. https://doi.org/10.1109/LICS.2015.72
Chatterjee, Krishnendu, Thomas A Henzinger, and Jan Otop. “Nested Weighted Automata.” In Proceedings - Symposium on Logic in Computer Science, Vol. 2015–July. IEEE, 2015. https://doi.org/10.1109/LICS.2015.72.
K. Chatterjee, T. A. Henzinger, and J. Otop, “Nested weighted automata,” in Proceedings - Symposium on Logic in Computer Science, Kyoto, Japan, 2015, vol. 2015–July.
Chatterjee K, Henzinger TA, Otop J. 2015. Nested weighted automata. Proceedings - Symposium on Logic in Computer Science. LICS: Logic in Computer Science vol. 2015–July.
Chatterjee, Krishnendu, et al. “Nested Weighted Automata.” Proceedings - Symposium on Logic in Computer Science, vol. 2015–July, 7174926, IEEE, 2015, doi:10.1109/LICS.2015.72.