--- _id: '2295' abstract: - lang: eng text: We consider partially observable Markov decision processes (POMDPs) with ω-regular conditions specified as parity objectives. The qualitative analysis problem given a POMDP 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, we establish decidability (with optimal EXPTIME-complete complexity) of the qualitative analysis problems for POMDPs with all parity objectives under finite-memory strategies. We also establish asymptotically optimal (exponential) memory bounds. alternative_title: - LIPIcs author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Martin full_name: Chmelik, Martin id: 3624234E-F248-11E8-B48F-1D18A9856A87 last_name: Chmelik - first_name: Mathieu full_name: Tracol, Mathieu id: 3F54FA38-F248-11E8-B48F-1D18A9856A87 last_name: Tracol citation: ama: Chatterjee K, Chmelik M, Tracol M. What is decidable about partially observable Markov decision processes with omega-regular objectives. 2013;23:165-180. doi:10.4230/LIPIcs.CSL.2013.165 apa: 'Chatterjee, K., Chmelik, M., & Tracol, M. (2013). What is decidable about partially observable Markov decision processes with omega-regular objectives. Presented at the CSL: Computer Science Logic, Torino, Italy: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.CSL.2013.165' chicago: Chatterjee, Krishnendu, Martin Chmelik, and Mathieu Tracol. “What Is Decidable about Partially Observable Markov Decision Processes with Omega-Regular Objectives.” Leibniz International Proceedings in Informatics. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2013. https://doi.org/10.4230/LIPIcs.CSL.2013.165. ieee: K. Chatterjee, M. Chmelik, and M. Tracol, “What is decidable about partially observable Markov decision processes with omega-regular objectives,” vol. 23. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, pp. 165–180, 2013. ista: Chatterjee K, Chmelik M, Tracol M. 2013. What is decidable about partially observable Markov decision processes with omega-regular objectives. 23, 165–180. mla: Chatterjee, Krishnendu, et al. What Is Decidable about Partially Observable Markov Decision Processes with Omega-Regular Objectives. Vol. 23, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2013, pp. 165–80, doi:10.4230/LIPIcs.CSL.2013.165. short: K. Chatterjee, M. Chmelik, M. Tracol, 23 (2013) 165–180. conference: end_date: 2013-09-05 location: Torino, Italy name: 'CSL: Computer Science Logic' start_date: 2013-09-02 date_created: 2018-12-11T11:56:50Z date_published: 2013-08-27T00:00:00Z date_updated: 2023-02-23T12:24:38Z day: '27' ddc: - '000' department: - _id: KrCh doi: 10.4230/LIPIcs.CSL.2013.165 ec_funded: 1 file: - access_level: open_access checksum: ba2828322955574d9283bea0e17a37a6 content_type: application/pdf creator: system date_created: 2018-12-12T10:09:42Z date_updated: 2020-07-14T12:45:37Z file_id: '4766' file_name: IST-2017-756-v1+1_2.pdf file_size: 345171 relation: main_file file_date_updated: 2020-07-14T12:45:37Z has_accepted_license: '1' intvolume: ' 23' language: - iso: eng month: '08' oa: 1 oa_version: Published Version page: 165 - 180 project: - _id: 2584A770-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P 23499-N23 name: Modern Graph Algorithmic Techniques in Formal Verification - _id: 25863FF4-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11407 name: Game Theory - _id: 2581B60A-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '279307' name: 'Quantitative Graph Games: Theory and Applications' - _id: 2587B514-B435-11E9-9278-68D0E5697425 name: Microsoft Research Faculty Fellowship publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik publist_id: '4633' pubrep_id: '756' quality_controlled: '1' related_material: record: - id: '1477' relation: later_version status: public - id: '5400' relation: earlier_version status: public scopus_import: 1 series_title: Leibniz International Proceedings in Informatics status: public title: What is decidable about partially observable Markov decision processes with omega-regular objectives tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 23 year: '2013' ...