Quantitative automata under probabilistic semantics

K. Chatterjee, T.A. Henzinger, J. Otop, in:, Proceedings of the 31st Annual ACM/IEEE Symposium, IEEE, 2016, pp. 76–85.


Conference Paper | Published | English
Abstract
Automata with monitor counters, where the transitions do not depend on counter values, and nested weighted automata are two expressive automata-theoretic frameworks for quantitative properties. For a well-studied and wide class of quantitative functions, we establish that automata with monitor counters and nested weighted automata are equivalent. We study for the first time such quantitative automata under probabilistic semantics. We show that several problems that are undecidable for the classical questions of emptiness and universality become decidable under the probabilistic semantics. We present a complete picture of decidability for such automata, and even an almost-complete picture of computational complexity, for the probabilistic questions we consider. © 2016 ACM.
Publishing Year
Date Published
2016-07-05
Proceedings Title
Proceedings of the 31st Annual ACM/IEEE Symposium
Acknowledgement
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) and Z211-N23 (Wittgenstein Award), FWF Grant No P23499- N23, FWF NFN Grant No S114
Page
76 - 85
Conference
LICS: Logic in Computer Science
Conference Location
New York, NY, USA
Conference Date
2016-07-05 – 2016-07-08
IST-REx-ID

Cite this

Chatterjee K, Henzinger TA, Otop J. Quantitative automata under probabilistic semantics. In: Proceedings of the 31st Annual ACM/IEEE Symposium. IEEE; 2016:76-85. doi:10.1145/2933575.2933588
Chatterjee, K., Henzinger, T. A., & Otop, J. (2016). Quantitative automata under probabilistic semantics. In Proceedings of the 31st Annual ACM/IEEE Symposium (pp. 76–85). New York, NY, USA: IEEE. https://doi.org/10.1145/2933575.2933588
Chatterjee, Krishnendu, Thomas A Henzinger, and Jan Otop. “Quantitative Automata under Probabilistic Semantics.” In Proceedings of the 31st Annual ACM/IEEE Symposium, 76–85. IEEE, 2016. https://doi.org/10.1145/2933575.2933588.
K. Chatterjee, T. A. Henzinger, and J. Otop, “Quantitative automata under probabilistic semantics,” in Proceedings of the 31st Annual ACM/IEEE Symposium, New York, NY, USA, 2016, pp. 76–85.
Chatterjee K, Henzinger TA, Otop J. 2016. Quantitative automata under probabilistic semantics. Proceedings of the 31st Annual ACM/IEEE Symposium. LICS: Logic in Computer Science 76–85.
Chatterjee, Krishnendu, et al. “Quantitative Automata under Probabilistic Semantics.” Proceedings of the 31st Annual ACM/IEEE Symposium, IEEE, 2016, pp. 76–85, doi:10.1145/2933575.2933588.

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