The cost of exactness in quantitative reachability

Chatterjee K, Doyen L, Henzinger TA. 2017.The cost of exactness in quantitative reachability. In: Models, Algorithms, Logics and Tools. LNCS, vol. 10460, 367–381.

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Book Editor
Aceto, Luca; Bacci, Giorgio; Ingólfsdóttir, Anna; Legay, Axel; Mardare, Radu
Series Title
LNCS
Abstract
In the analysis of reactive systems a quantitative objective assigns a real value to every trace of the system. The value decision problem for a quantitative objective requires a trace whose value is at least a given threshold, and the exact value decision problem requires a trace whose value is exactly the threshold. We compare the computational complexity of the value and exact value decision problems for classical quantitative objectives, such as sum, discounted sum, energy, and mean-payoff for two standard models of reactive systems, namely, graphs and graph games.
Publishing Year
Date Published
2017-07-25
Book Title
Models, Algorithms, Logics and Tools
Publisher
Springer
Acknowledgement
This research was supported in part by the Austrian Science Fund (FWF) under grants S11402-N23 and S11407-N23 (RiSE/SHiNE), and Z211-N23 (Wittgenstein Award), ERC Start grant (279307: Graph Games), Vienna Science and Technology Fund (WWTF) through project ICT15-003.
Volume
10460
Page
367 - 381
ISSN
IST-REx-ID
625

Cite this

Chatterjee K, Doyen L, Henzinger TA. The cost of exactness in quantitative reachability. In: Aceto L, Bacci G, Ingólfsdóttir A, Legay A, Mardare R, eds. Models, Algorithms, Logics and Tools. Vol 10460. Theoretical Computer Science and General Issues. Springer; 2017:367-381. doi:10.1007/978-3-319-63121-9_18
Chatterjee, K., Doyen, L., & Henzinger, T. A. (2017). The cost of exactness in quantitative reachability. In L. Aceto, G. Bacci, A. Ingólfsdóttir, A. Legay, & R. Mardare (Eds.), Models, Algorithms, Logics and Tools (Vol. 10460, pp. 367–381). Springer. https://doi.org/10.1007/978-3-319-63121-9_18
Chatterjee, Krishnendu, Laurent Doyen, and Thomas A Henzinger. “The Cost of Exactness in Quantitative Reachability.” In Models, Algorithms, Logics and Tools, edited by Luca Aceto, Giorgio Bacci, Anna Ingólfsdóttir, Axel Legay, and Radu Mardare, 10460:367–81. Theoretical Computer Science and General Issues. Springer, 2017. https://doi.org/10.1007/978-3-319-63121-9_18.
K. Chatterjee, L. Doyen, and T. A. Henzinger, “The cost of exactness in quantitative reachability,” in Models, Algorithms, Logics and Tools, vol. 10460, L. Aceto, G. Bacci, A. Ingólfsdóttir, A. Legay, and R. Mardare, Eds. Springer, 2017, pp. 367–381.
Chatterjee K, Doyen L, Henzinger TA. 2017.The cost of exactness in quantitative reachability. In: Models, Algorithms, Logics and Tools. LNCS, vol. 10460, 367–381.
Chatterjee, Krishnendu, et al. “The Cost of Exactness in Quantitative Reachability.” Models, Algorithms, Logics and Tools, edited by Luca Aceto et al., vol. 10460, Springer, 2017, pp. 367–81, doi:10.1007/978-3-319-63121-9_18.
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