{"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"IST Austria","file_date_updated":"2020-07-14T12:46:51Z","date_updated":"2025-04-15T07:55:41Z","abstract":[{"text":"We consider partially observable Markov decision processes (POMDPs), that are a standard framework for robotics applications to model uncertainties present in the real world, with temporal logic specifications. All temporal logic specifications in linear-time temporal logic (LTL) can be expressed as parity objectives. We study the qualitative analysis problem for POMDPs with parity objectives that asks whether there is a controller (policy) to ensure that the objective holds with probability 1 (almost-surely). While the qualitative analysis of POMDPs with parity objectives is undecidable, recent results show that when restricted to finite-memory policies the problem is EXPTIME-complete. While the problem is intractable in theory, we present a practical approach to solve the qualitative analysis problem. We designed several heuristics to deal with the exponential complexity, and have used our implementation on a number of well-known POMDP examples for robotics applications. Our results provide the first practical approach to solve the qualitative analysis of robot motion planning with LTL properties in the presence of uncertainty.","lang":"eng"}],"date_published":"2014-09-29T00:00:00Z","author":[{"first_name":"Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu","last_name":"Chatterjee"},{"last_name":"Chmelik","full_name":"Chmelik, Martin","first_name":"Martin","id":"3624234E-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Gupta","full_name":"Gupta, Raghav","first_name":"Raghav"},{"first_name":"Ayush","full_name":"Kanodia, Ayush","last_name":"Kanodia"}],"day":"29","month":"09","department":[{"_id":"KrCh"}],"ddc":["005"],"related_material":{"record":[{"id":"5424","relation":"earlier_version","status":"public"},{"status":"public","relation":"later_version","id":"1732"}]},"publication_identifier":{"issn":["2664-1690"]},"alternative_title":["IST Austria Technical Report"],"type":"technical_report","_id":"5426","title":"Qualitative analysis of POMDPs with temporal logic specifications for robotics applications","doi":"10.15479/AT:IST-2014-305-v2-1","file":[{"file_name":"IST-2014-305-v2+1_main2.pdf","access_level":"open_access","date_created":"2018-12-12T11:54:15Z","content_type":"application/pdf","file_size":656019,"checksum":"730c0a8e97cf2712a884b2cc423f3919","date_updated":"2020-07-14T12:46:51Z","file_id":"5537","relation":"main_file","creator":"system"}],"oa_version":"Published Version","citation":{"ama":"Chatterjee K, Chmelik M, Gupta R, Kanodia A. Qualitative Analysis of POMDPs with Temporal Logic Specifications for Robotics Applications. IST Austria; 2014. doi:10.15479/AT:IST-2014-305-v2-1","short":"K. Chatterjee, M. Chmelik, R. Gupta, A. Kanodia, Qualitative Analysis of POMDPs with Temporal Logic Specifications for Robotics Applications, IST Austria, 2014.","chicago":"Chatterjee, Krishnendu, Martin Chmelik, Raghav Gupta, and Ayush Kanodia. Qualitative Analysis of POMDPs with Temporal Logic Specifications for Robotics Applications. IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-305-v2-1.","ieee":"K. Chatterjee, M. Chmelik, R. Gupta, and A. Kanodia, Qualitative analysis of POMDPs with temporal logic specifications for robotics applications. IST Austria, 2014.","ista":"Chatterjee K, Chmelik M, Gupta R, Kanodia A. 2014. Qualitative analysis of POMDPs with temporal logic specifications for robotics applications, IST Austria, 10p.","mla":"Chatterjee, Krishnendu, et al. Qualitative Analysis of POMDPs with Temporal Logic Specifications for Robotics Applications. IST Austria, 2014, doi:10.15479/AT:IST-2014-305-v2-1.","apa":"Chatterjee, K., Chmelik, M., Gupta, R., & Kanodia, A. (2014). Qualitative analysis of POMDPs with temporal logic specifications for robotics applications. IST Austria. https://doi.org/10.15479/AT:IST-2014-305-v2-1"},"year":"2014","status":"public","page":"10","date_created":"2018-12-12T11:39:16Z","pubrep_id":"311","publication_status":"published","oa":1,"language":[{"iso":"eng"}],"has_accepted_license":"1"}