The complexity of partial-observation stochastic parity games with finite-memory strategies
Chatterjee K, Doyen L, Nain S, Vardi M. 2014. The complexity of partial-observation stochastic parity games with finite-memory strategies. FoSSaCS: Foundations of Software Science and Computation Structures, LNCS, vol. 8412, 242–257.
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Author
Chatterjee, KrishnenduISTA 
;
Doyen, Laurent;
Nain, Sumit;
Vardi, Moshe
;
Doyen, Laurent;
Nain, Sumit;
Vardi, MosheDepartment
Grant
Series Title
LNCS
Abstract
We consider two-player partial-observation stochastic games on finitestate graphs where player 1 has partial observation and player 2 has perfect observation. The winning condition we study are ε-regular conditions specified as parity objectives. The qualitative-analysis problem given a partial-observation stochastic game and a parity objective asks whether there is a strategy to ensure that the objective is satisfied with probability 1 (resp. positive probability). These qualitative-analysis problems are known to be undecidable. However in many applications the relevant question is the existence of finite-memory strategies, and the qualitative-analysis problems under finite-memory strategies was recently shown to be decidable in 2EXPTIME.We improve the complexity and show that the qualitative-analysis problems for partial-observation stochastic parity games under finite-memory strategies are EXPTIME-complete; and also establish optimal (exponential) memory bounds for finite-memory strategies required for qualitative analysis.
Publishing Year
Date Published
2014-04-01
Acknowledgement
This research was supported by European project Cassting (FP7-601148), NSF grants CNS 1049862 and CCF-1139011, by NSF Expe ditions in Computing project “ExCAPE: Expeditions in Computer Augmented Program Engineering”, by BSF grant 9800096, and by gift from Intel.
Volume
8412
Page
242 - 257
Conference
FoSSaCS: Foundations of Software Science and Computation Structures
Conference Location
Grenoble, France
Conference Date
2014-04-05 – 2014-04-13
IST-REx-ID
Cite this
Chatterjee K, Doyen L, Nain S, Vardi M. The complexity of partial-observation stochastic parity games with finite-memory strategies. In: Vol 8412. Springer; 2014:242-257. doi:10.1007/978-3-642-54830-7_16
Chatterjee, K., Doyen, L., Nain, S., & Vardi, M. (2014). The complexity of partial-observation stochastic parity games with finite-memory strategies (Vol. 8412, pp. 242–257). Presented at the FoSSaCS: Foundations of Software Science and Computation Structures, Grenoble, France: Springer. https://doi.org/10.1007/978-3-642-54830-7_16
Chatterjee, Krishnendu, Laurent Doyen, Sumit Nain, and Moshe Vardi. “The Complexity of Partial-Observation Stochastic Parity Games with Finite-Memory Strategies,” 8412:242–57. Springer, 2014. https://doi.org/10.1007/978-3-642-54830-7_16.
K. Chatterjee, L. Doyen, S. Nain, and M. Vardi, “The complexity of partial-observation stochastic parity games with finite-memory strategies,” presented at the FoSSaCS: Foundations of Software Science and Computation Structures, Grenoble, France, 2014, vol. 8412, pp. 242–257.
Chatterjee K, Doyen L, Nain S, Vardi M. 2014. The complexity of partial-observation stochastic parity games with finite-memory strategies. FoSSaCS: Foundations of Software Science and Computation Structures, LNCS, vol. 8412, 242–257.
Chatterjee, Krishnendu, et al. The Complexity of Partial-Observation Stochastic Parity Games with Finite-Memory Strategies. Vol. 8412, Springer, 2014, pp. 242–57, doi:10.1007/978-3-642-54830-7_16.
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