Earlier Version

The complexity of partial-observation stochastic parity games with finite-memory strategies

K. Chatterjee, L. Doyen, S. Nain, M. Vardi, The Complexity of Partial-Observation Stochastic Parity Games with Finite-Memory Strategies, IST Austria, 2013.

Download
OA 300.48 KB

Technical Report | Published | English
Author
; ; ;
Department
Series Title
IST Austria Technical Report
Abstract
We consider two-player partial-observation stochastic games where player 1 has partial observation and player 2 has perfect observation. The winning condition we study are omega-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). While the qualitative analysis problems are known to be undecidable even for very special cases of parity objectives, they were shown to be decidable in 2EXPTIME under finite-memory strategies. 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
2013-09-12
Page
17
ISSN
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. IST Austria; 2013. doi:10.15479/AT:IST-2013-141-v1-1
Chatterjee, K., Doyen, L., Nain, S., & Vardi, M. (2013). The complexity of partial-observation stochastic parity games with finite-memory strategies. IST Austria. https://doi.org/10.15479/AT:IST-2013-141-v1-1
Chatterjee, Krishnendu, Laurent Doyen, Sumit Nain, and Moshe Vardi. The Complexity of Partial-Observation Stochastic Parity Games with Finite-Memory Strategies. IST Austria, 2013. https://doi.org/10.15479/AT:IST-2013-141-v1-1.
K. Chatterjee, L. Doyen, S. Nain, and M. Vardi, The complexity of partial-observation stochastic parity games with finite-memory strategies. IST Austria, 2013.
Chatterjee K, Doyen L, Nain S, Vardi M. 2013. The complexity of partial-observation stochastic parity games with finite-memory strategies, IST Austria, 17p.
Chatterjee, Krishnendu, et al. The Complexity of Partial-Observation Stochastic Parity Games with Finite-Memory Strategies. IST Austria, 2013, doi:10.15479/AT:IST-2013-141-v1-1.
Main File(s)
Access Level
OA Open Access
Last Uploaded
2018-12-12T11:53:16Z


Export

Marked Publications

Open Data IST Research Explorer

Search this title in

Google Scholar