--- _id: '2947' abstract: - lang: eng text: We introduce games with probabilistic uncertainty, a model for controller synthesis in which the controller observes the state through imprecise sensors that provide correct information about the current state with a fixed probability. That is, in each step, the sensors return an observed state, and given the observed state, there is a probability distribution (due to the estimation error) over the actual current state. The controller must base its decision on the observed state (rather than the actual current state, which it does not know). On the other hand, we assume that the environment can perfectly observe the current state. We show that controller synthesis for qualitative ω-regular objectives in our model can be reduced in polynomial time to standard partial-observation stochastic games, and vice-versa. As a consequence we establish the precise decidability frontier for the new class of games, and establish optimal complexity results for all the decidable problems. acknowledgement: 'The research was supported by Austrian Science Fund (FWF) Grant No P 23499-N23 on Modern Graph Algorithmic Techniques in Formal Verification, FWF NFN Grant No S11407-N23 (RiSE), ERC Start grant (279307: Graph Games), and Microsoft faculty fellows award.' alternative_title: - LNCS 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: Ritankar full_name: Majumdar, Ritankar last_name: Majumdar citation: ama: 'Chatterjee K, Chmelik M, Majumdar R. Equivalence of games with probabilistic uncertainty and partial observation games. In: Vol 7561. Springer; 2012:385-399. doi:10.1007/978-3-642-33386-6_30' apa: 'Chatterjee, K., Chmelik, M., & Majumdar, R. (2012). Equivalence of games with probabilistic uncertainty and partial observation games (Vol. 7561, pp. 385–399). Presented at the ATVA: Automated Technology for Verification and Analysis, Thiruvananthapuram, India: Springer. https://doi.org/10.1007/978-3-642-33386-6_30' chicago: Chatterjee, Krishnendu, Martin Chmelik, and Ritankar Majumdar. “Equivalence of Games with Probabilistic Uncertainty and Partial Observation Games,” 7561:385–99. Springer, 2012. https://doi.org/10.1007/978-3-642-33386-6_30. ieee: 'K. Chatterjee, M. Chmelik, and R. Majumdar, “Equivalence of games with probabilistic uncertainty and partial observation games,” presented at the ATVA: Automated Technology for Verification and Analysis, Thiruvananthapuram, India, 2012, vol. 7561, pp. 385–399.' ista: 'Chatterjee K, Chmelik M, Majumdar R. 2012. Equivalence of games with probabilistic uncertainty and partial observation games. ATVA: Automated Technology for Verification and Analysis, LNCS, vol. 7561, 385–399.' mla: Chatterjee, Krishnendu, et al. Equivalence of Games with Probabilistic Uncertainty and Partial Observation Games. Vol. 7561, Springer, 2012, pp. 385–99, doi:10.1007/978-3-642-33386-6_30. short: K. Chatterjee, M. Chmelik, R. Majumdar, in:, Springer, 2012, pp. 385–399. conference: end_date: 2012-10-06 location: Thiruvananthapuram, India name: ' ATVA: Automated Technology for Verification and Analysis' start_date: 2012-10-03 date_created: 2018-12-11T12:00:29Z date_published: 2012-06-01T00:00:00Z date_updated: 2021-01-12T07:39:58Z day: '01' department: - _id: KrCh doi: 10.1007/978-3-642-33386-6_30 ec_funded: 1 intvolume: ' 7561' language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/1202.4140 month: '06' oa: 1 oa_version: Preprint page: 385 - 399 project: - _id: 2584A770-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P 23499-N23 name: Modern Graph Algorithmic Techniques in Formal Verification - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _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: Springer publist_id: '3785' quality_controlled: '1' scopus_import: 1 status: public title: Equivalence of games with probabilistic uncertainty and partial observation games type: conference user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 7561 year: '2012' ...