The cost of exactness in quantitative reachability

K. Chatterjee, L. Doyen, T.A. Henzinger, in:, L. Aceto, G. Bacci, A. Ingólfsdóttir, A. Legay, R. Mardare (Eds.), Models, Algorithms, Logics and Tools, Springer, 2017, pp. 367–381.

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Book Chapter | Published | English
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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
2017-01-01
Book Title
Models, Algorithms, Logics and Tools
Volume
10460
Page
367 - 381
ISSN
IST-REx-ID

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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. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 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. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 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. Models, Algorithms, Logics and Tools. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 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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