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AAAI: Conference on Artificial Intelligence vol. 2016, 3225–3232.","chicago":"Chatterjee, Krishnendu, Martin Chmelik, and Jessica Davies. “A Symbolic SAT Based Algorithm for Almost Sure Reachability with Small Strategies in POMDPs.” In <i>Proceedings of the Thirtieth AAAI Conference on Artificial Intelligence</i>, 2016:3225–32. AAAI Press, 2016. <a href=\"https://doi.org/10.1609/aaai.v30i1.10422\">https://doi.org/10.1609/aaai.v30i1.10422</a>.","ieee":"K. Chatterjee, M. Chmelik, and J. Davies, “A symbolic SAT based algorithm for almost sure reachability with small strategies in POMDPs,” in <i>Proceedings of the Thirtieth AAAI Conference on Artificial Intelligence</i>, Phoenix, AZ, United States, 2016, vol. 2016, pp. 3225–3232.","ama":"Chatterjee K, Chmelik M, Davies J. A symbolic SAT based algorithm for almost sure reachability with small strategies in POMDPs. In: <i>Proceedings of the Thirtieth AAAI Conference on Artificial Intelligence</i>. Vol 2016. AAAI Press; 2016:3225-3232. doi:<a href=\"https://doi.org/10.1609/aaai.v30i1.10422\">10.1609/aaai.v30i1.10422</a>","apa":"Chatterjee, K., Chmelik, M., &#38; Davies, J. (2016). A symbolic SAT based algorithm for almost sure reachability with small strategies in POMDPs. In <i>Proceedings of the Thirtieth AAAI Conference on Artificial Intelligence</i> (Vol. 2016, pp. 3225–3232). Phoenix, AZ, United States: AAAI Press. <a href=\"https://doi.org/10.1609/aaai.v30i1.10422\">https://doi.org/10.1609/aaai.v30i1.10422</a>"},"corr_author":"1","department":[{"_id":"KrCh"},{"_id":"ToHe"}],"acknowledgement":"The research was partly supported by Austrian Science Fund (FWF) Grant No P23499-N23, FWF NFN Grant No S11407-N23 (RiSE), ERC Start grant (279307: Graph Games), and Microsoft faculty fellows award.","date_updated":"2025-06-25T11:52:14Z","title":"A symbolic SAT based algorithm for almost sure reachability with small strategies in POMDPs","article_processing_charge":"No","quality_controlled":"1","language":[{"iso":"eng"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","conference":{"name":"AAAI: Conference on Artificial Intelligence","end_date":"2016-02-17","location":"Phoenix, AZ, United States","start_date":"2016-02-12"},"OA_type":"green","oa":1,"year":"2016","volume":2016,"date_published":"2016-12-02T00:00:00Z","arxiv":1,"publication_status":"published","abstract":[{"text":"POMDPs are standard models for probabilistic planning problems, where an agent interacts with an uncertain environment. We study the problem of almost-sure reachability, where given a set of target states, the question is to decide whether there is a policy to ensure that the target set is reached with probability 1 (almost-surely). While in general the problem is EXPTIMEcomplete, in many practical cases policies with a small amount of memory suffice. Moreover, the existing solution to the problem is explicit, which first requires to construct explicitly an exponential reduction to a belief-support MDP. In this work, we first study the existence of observation-stationary strategies, which is NP-complete, and then small-memory strategies. We present a symbolic algorithm by an efficient encoding to SAT and using a SAT solver for the problem. We report experimental results demonstrating the scalability of our symbolic (SAT-based) approach. © 2016, Association for the Advancement of Artificial Intelligence (www.aaai.org). All rights reserved.","lang":"eng"}],"related_material":{"record":[{"status":"public","id":"5443","relation":"earlier_version"}],"link":[{"relation":"table_of_contents","url":"https://dl.acm.org/citation.cfm?id=3016355"}]},"publist_id":"6191","OA_place":"repository","day":"02","external_id":{"arxiv":["1511.08456"]},"ec_funded":1,"oa_version":"Preprint","month":"12","project":[{"name":"Modern Graph Algorithmic Techniques in Formal Verification","call_identifier":"FWF","_id":"2584A770-B435-11E9-9278-68D0E5697425","grant_number":"P 23499-N23"},{"call_identifier":"FWF","name":"Rigorous Systems Engineering","_id":"25832EC2-B435-11E9-9278-68D0E5697425","grant_number":"S 11407_N23"},{"grant_number":"279307","call_identifier":"FP7","name":"Quantitative Graph Games: Theory and Applications","_id":"2581B60A-B435-11E9-9278-68D0E5697425"}],"doi":"10.1609/aaai.v30i1.10422","author":[{"first_name":"Krishnendu","last_name":"Chatterjee","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X"},{"last_name":"Chmelik","first_name":"Martin","full_name":"Chmelik, Martin","id":"3624234E-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Jessica","last_name":"Davies","full_name":"Davies, Jessica","id":"378E0060-F248-11E8-B48F-1D18A9856A87"}],"date_created":"2018-12-11T11:50:30Z","intvolume":"      2016","type":"conference","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.1511.08456"}],"publisher":"AAAI Press","_id":"1166"},{"type":"technical_report","date_updated":"2025-06-25T11:52:13Z","doi":"10.15479/AT:IST-2015-325-v2-1","publication_identifier":{"issn":["2664-1690"]},"author":[{"id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X","first_name":"Krishnendu","last_name":"Chatterjee"},{"first_name":"Martin","last_name":"Chmelik","full_name":"Chmelik, Martin","id":"3624234E-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Jessica","last_name":"Davies","id":"378E0060-F248-11E8-B48F-1D18A9856A87","full_name":"Davies, Jessica"}],"date_created":"2018-12-12T11:39:22Z","title":"A symbolic SAT-based algorithm for almost-sure reachability with small strategies in POMDPs","publisher":"IST Austria","_id":"5443","file":[{"file_size":412379,"access_level":"open_access","content_type":"application/pdf","file_id":"5466","relation":"main_file","checksum":"f0fa31ad8161ed655137e94012123ef9","date_created":"2018-12-12T11:53:05Z","file_name":"IST-2015-325-v2+1_main.pdf","creator":"system","date_updated":"2020-07-14T12:46:57Z"}],"language":[{"iso":"eng"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","abstract":[{"lang":"eng","text":"POMDPs are standard models for probabilistic planning problems, where an agent interacts with an uncertain environment. We study the problem of almost-sure reachability, where given a set of target states, the question is to decide whether there is a policy to ensure that the target set is reached with probability 1 (almost-surely). While in general the problem is EXPTIME-complete, in many practical cases policies with a small amount of memory suffice. Moreover, the existing solution to the problem is explicit, which first requires to construct explicitly an exponential reduction to a belief-support MDP. In this work, we first study the existence of observation-stationary strategies, which is NP-complete, and then small-memory strategies. We present a symbolic algorithm by an efficient encoding to SAT and using a SAT solver for the problem. We report experimental results demonstrating the scalability of our symbolic (SAT-based) approach."}],"publication_status":"published","page":"23","citation":{"apa":"Chatterjee, K., Chmelik, M., &#38; Davies, J. (2015). <i>A symbolic SAT-based algorithm for almost-sure reachability with small strategies in POMDPs</i>. IST Austria. <a href=\"https://doi.org/10.15479/AT:IST-2015-325-v2-1\">https://doi.org/10.15479/AT:IST-2015-325-v2-1</a>","ama":"Chatterjee K, Chmelik M, Davies J. <i>A Symbolic SAT-Based Algorithm for Almost-Sure Reachability with Small Strategies in POMDPs</i>. IST Austria; 2015. doi:<a href=\"https://doi.org/10.15479/AT:IST-2015-325-v2-1\">10.15479/AT:IST-2015-325-v2-1</a>","ieee":"K. Chatterjee, M. Chmelik, and J. Davies, <i>A symbolic SAT-based algorithm for almost-sure reachability with small strategies in POMDPs</i>. IST Austria, 2015.","short":"K. Chatterjee, M. Chmelik, J. Davies, A Symbolic SAT-Based Algorithm for Almost-Sure Reachability with Small Strategies in POMDPs, IST Austria, 2015.","chicago":"Chatterjee, Krishnendu, Martin Chmelik, and Jessica Davies. <i>A Symbolic SAT-Based Algorithm for Almost-Sure Reachability with Small Strategies in POMDPs</i>. IST Austria, 2015. <a href=\"https://doi.org/10.15479/AT:IST-2015-325-v2-1\">https://doi.org/10.15479/AT:IST-2015-325-v2-1</a>.","ista":"Chatterjee K, Chmelik M, Davies J. 2015. A symbolic SAT-based algorithm for almost-sure reachability with small strategies in POMDPs, IST Austria, 23p.","mla":"Chatterjee, Krishnendu, et al. <i>A Symbolic SAT-Based Algorithm for Almost-Sure Reachability with Small Strategies in POMDPs</i>. IST Austria, 2015, doi:<a href=\"https://doi.org/10.15479/AT:IST-2015-325-v2-1\">10.15479/AT:IST-2015-325-v2-1</a>."},"related_material":{"record":[{"relation":"later_version","id":"1166","status":"public"}]},"file_date_updated":"2020-07-14T12:46:57Z","pubrep_id":"362","status":"public","date_published":"2015-11-06T00:00:00Z","year":"2015","oa":1,"alternative_title":["IST Austria Technical Report"],"has_accepted_license":"1","month":"11","department":[{"_id":"KrCh"}],"day":"06","ddc":["000"],"oa_version":"Published Version"}]