{"date_updated":"2023-02-23T12:24:38Z","month":"08","title":"What is decidable about partially observable Markov decision processes with ω-regular objectives","scopus_import":1,"date_created":"2018-12-11T11:52:15Z","citation":{"ama":"Chatterjee K, Chmelik M, Tracol M. What is decidable about partially observable Markov decision processes with ω-regular objectives. <i>Journal of Computer and System Sciences</i>. 2016;82(5):878-911. doi:<a href=\"https://doi.org/10.1016/j.jcss.2016.02.009\">10.1016/j.jcss.2016.02.009</a>","ieee":"K. Chatterjee, M. Chmelik, and M. Tracol, “What is decidable about partially observable Markov decision processes with ω-regular objectives,” <i>Journal of Computer and System Sciences</i>, vol. 82, no. 5. Elsevier, pp. 878–911, 2016.","ista":"Chatterjee K, Chmelik M, Tracol M. 2016. What is decidable about partially observable Markov decision processes with ω-regular objectives. Journal of Computer and System Sciences. 82(5), 878–911.","short":"K. Chatterjee, M. Chmelik, M. Tracol, Journal of Computer and System Sciences 82 (2016) 878–911.","mla":"Chatterjee, Krishnendu, et al. “What Is Decidable about Partially Observable Markov Decision Processes with ω-Regular Objectives.” <i>Journal of Computer and System Sciences</i>, vol. 82, no. 5, Elsevier, 2016, pp. 878–911, doi:<a href=\"https://doi.org/10.1016/j.jcss.2016.02.009\">10.1016/j.jcss.2016.02.009</a>.","chicago":"Chatterjee, Krishnendu, Martin Chmelik, and Mathieu Tracol. “What Is Decidable about Partially Observable Markov Decision Processes with ω-Regular Objectives.” <i>Journal of Computer and System Sciences</i>. Elsevier, 2016. <a href=\"https://doi.org/10.1016/j.jcss.2016.02.009\">https://doi.org/10.1016/j.jcss.2016.02.009</a>.","apa":"Chatterjee, K., Chmelik, M., &#38; Tracol, M. (2016). What is decidable about partially observable Markov decision processes with ω-regular objectives. <i>Journal of Computer and System Sciences</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jcss.2016.02.009\">https://doi.org/10.1016/j.jcss.2016.02.009</a>"},"type":"journal_article","oa_version":"Preprint","department":[{"_id":"KrCh"}],"status":"public","ec_funded":1,"issue":"5","publisher":"Elsevier","abstract":[{"lang":"eng","text":"We consider partially observable Markov decision processes (POMDPs) with ω-regular conditions specified as parity objectives. The class of ω-regular languages provides a robust specification language to express properties in verification, and parity objectives are canonical forms to express them. 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 undecidable even for special cases of parity objectives, we establish decidability (with optimal complexity) for POMDPs with all parity objectives under finite-memory strategies. We establish optimal (exponential) memory bounds and EXPTIME-completeness of the qualitative analysis problems under finite-memory strategies for POMDPs with parity objectives. We also present a practical approach, where we design heuristics to deal with the exponential complexity, and have applied our implementation on a number of POMDP examples."}],"year":"2016","author":[{"last_name":"Chatterjee","full_name":"Chatterjee, Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X","first_name":"Krishnendu"},{"first_name":"Martin","id":"3624234E-F248-11E8-B48F-1D18A9856A87","last_name":"Chmelik","full_name":"Chmelik, Martin"},{"first_name":"Mathieu","last_name":"Tracol","full_name":"Tracol, Mathieu","id":"3F54FA38-F248-11E8-B48F-1D18A9856A87"}],"doi":"10.1016/j.jcss.2016.02.009","_id":"1477","volume":82,"external_id":{"arxiv":["1309.2802"]},"project":[{"_id":"2584A770-B435-11E9-9278-68D0E5697425","name":"Modern Graph Algorithmic Techniques in Formal Verification","grant_number":"P 23499-N23","call_identifier":"FWF"},{"grant_number":"S11407","call_identifier":"FWF","_id":"25863FF4-B435-11E9-9278-68D0E5697425","name":"Game Theory"},{"_id":"2581B60A-B435-11E9-9278-68D0E5697425","name":"Quantitative Graph Games: Theory and Applications","grant_number":"279307","call_identifier":"FP7"},{"name":"Microsoft Research Faculty Fellowship","_id":"2587B514-B435-11E9-9278-68D0E5697425"}],"date_published":"2016-08-01T00:00:00Z","day":"01","publication_status":"published","publication":"Journal of Computer and System Sciences","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","page":"878 - 911","related_material":{"record":[{"id":"2295","relation":"earlier_version","status":"public"},{"id":"5400","relation":"earlier_version","status":"public"}]},"intvolume":"        82","language":[{"iso":"eng"}],"publist_id":"5718","quality_controlled":"1","oa":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1309.2802"}]}