--- _id: '5408' abstract: - lang: eng text: "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 \r\nEXPTIME-complete; and also establish optimal (exponential) memory bounds for finite-memory strategies required for qualitative analysis. " alternative_title: - IST Austria Technical Report author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Laurent full_name: Doyen, Laurent last_name: Doyen - first_name: Sumit full_name: Nain, Sumit last_name: Nain - first_name: Moshe full_name: Vardi, Moshe last_name: Vardi citation: ama: 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 apa: 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 chicago: 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. ieee: K. Chatterjee, L. Doyen, S. Nain, and M. Vardi, The complexity of partial-observation stochastic parity games with finite-memory strategies. IST Austria, 2013. ista: Chatterjee K, Doyen L, Nain S, Vardi M. 2013. The complexity of partial-observation stochastic parity games with finite-memory strategies, IST Austria, 17p. mla: 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. short: K. Chatterjee, L. Doyen, S. Nain, M. Vardi, The Complexity of Partial-Observation Stochastic Parity Games with Finite-Memory Strategies, IST Austria, 2013. date_created: 2018-12-12T11:39:10Z date_published: 2013-09-12T00:00:00Z date_updated: 2023-02-23T10:33:11Z day: '12' ddc: - '000' - '005' department: - _id: KrCh doi: 10.15479/AT:IST-2013-141-v1-1 file: - access_level: open_access checksum: 226bc791124f8d3138379778ce834e86 content_type: application/pdf creator: system date_created: 2018-12-12T11:53:16Z date_updated: 2020-07-14T12:46:46Z file_id: '5477' file_name: IST-2013-141-v1+1_main-tech-rpt.pdf file_size: 300481 relation: main_file file_date_updated: 2020-07-14T12:46:46Z has_accepted_license: '1' language: - iso: eng month: '09' oa: 1 oa_version: Published Version page: '17' publication_identifier: issn: - 2664-1690 publication_status: published publisher: IST Austria pubrep_id: '141' related_material: record: - id: '2213' relation: later_version status: public status: public title: The complexity of partial-observation stochastic parity games with finite-memory strategies type: technical_report user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2013' ...