{"file":[{"content_type":"application/pdf","file_name":"2022_LNCS_Chatterjee.pdf","relation":"main_file","checksum":"24e0f810ec52735a90ade95198bc641d","file_id":"12003","date_created":"2022-08-29T09:17:01Z","creator":"alisjak","date_updated":"2022-08-29T09:17:01Z","success":1,"file_size":505094,"access_level":"open_access"}],"has_accepted_license":"1","author":[{"first_name":"Krishnendu","full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X","last_name":"Chatterjee","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87"},{"id":"391365CE-F248-11E8-B48F-1D18A9856A87","first_name":"Amir Kafshdar","full_name":"Goharshady, Amir Kafshdar","orcid":"0000-0003-1702-6584","last_name":"Goharshady"},{"first_name":"Tobias","full_name":"Meggendorfer, Tobias","last_name":"Meggendorfer","orcid":"0000-0002-1712-2165","id":"b21b0c15-30a2-11eb-80dc-f13ca25802e1"},{"full_name":"Zikelic, Dorde","last_name":"Zikelic","orcid":"0000-0002-4681-1699","first_name":"Dorde","id":"294AA7A6-F248-11E8-B48F-1D18A9856A87"}],"_id":"12000","year":"2022","scopus_import":"1","project":[{"_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","call_identifier":"H2020","grant_number":"863818","name":"Formal Methods for Stochastic Models: Algorithms and Applications"},{"call_identifier":"H2020","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","name":"International IST Doctoral Program","grant_number":"665385"}],"isi":1,"publication_identifier":{"isbn":["9783031131844"],"issn":["0302-9743"],"eissn":["1611-3349"]},"ec_funded":1,"ddc":["000"],"oa":1,"volume":13371,"doi":"10.1007/978-3-031-13185-1_4","date_updated":"2023-11-30T10:55:37Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"department":[{"_id":"KrCh"}],"citation":{"short":"K. Chatterjee, A.K. Goharshady, T. Meggendorfer, D. Zikelic, in:, Proceedings of the 34th International Conference on Computer Aided Verification, Springer, 2022, pp. 55–78.","apa":"Chatterjee, K., Goharshady, A. K., Meggendorfer, T., &#38; Zikelic, D. (2022). Sound and complete certificates for auantitative termination analysis of probabilistic programs. In <i>Proceedings of the 34th International Conference on Computer Aided Verification</i> (Vol. 13371, pp. 55–78). Haifa, Israel: Springer. <a href=\"https://doi.org/10.1007/978-3-031-13185-1_4\">https://doi.org/10.1007/978-3-031-13185-1_4</a>","ama":"Chatterjee K, Goharshady AK, Meggendorfer T, Zikelic D. Sound and complete certificates for auantitative termination analysis of probabilistic programs. In: <i>Proceedings of the 34th International Conference on Computer Aided Verification</i>. Vol 13371. Springer; 2022:55-78. doi:<a href=\"https://doi.org/10.1007/978-3-031-13185-1_4\">10.1007/978-3-031-13185-1_4</a>","ieee":"K. Chatterjee, A. K. Goharshady, T. Meggendorfer, and D. Zikelic, “Sound and complete certificates for auantitative termination analysis of probabilistic programs,” in <i>Proceedings of the 34th International Conference on Computer Aided Verification</i>, Haifa, Israel, 2022, vol. 13371, pp. 55–78.","chicago":"Chatterjee, Krishnendu, Amir Kafshdar Goharshady, Tobias Meggendorfer, and Dorde Zikelic. “Sound and Complete Certificates for Auantitative Termination Analysis of Probabilistic Programs.” In <i>Proceedings of the 34th International Conference on Computer Aided Verification</i>, 13371:55–78. Springer, 2022. <a href=\"https://doi.org/10.1007/978-3-031-13185-1_4\">https://doi.org/10.1007/978-3-031-13185-1_4</a>.","ista":"Chatterjee K, Goharshady AK, Meggendorfer T, Zikelic D. 2022. Sound and complete certificates for auantitative termination analysis of probabilistic programs. Proceedings of the 34th International Conference on Computer Aided Verification. CAV: Computer Aided Verification, LNCS, vol. 13371, 55–78.","mla":"Chatterjee, Krishnendu, et al. “Sound and Complete Certificates for Auantitative Termination Analysis of Probabilistic Programs.” <i>Proceedings of the 34th International Conference on Computer Aided Verification</i>, vol. 13371, Springer, 2022, pp. 55–78, doi:<a href=\"https://doi.org/10.1007/978-3-031-13185-1_4\">10.1007/978-3-031-13185-1_4</a>."},"day":"07","quality_controlled":"1","acknowledgement":"This research was partially supported by the ERC CoG 863818 (ForM-SMArt), the HKUST-Kaisa Joint Research Institute Project Grant HKJRI3A-055, the HKUST Startup Grant R9272 and the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 665385.","article_processing_charge":"Yes (in subscription journal)","abstract":[{"text":"We consider the quantitative problem of obtaining lower-bounds on the probability of termination of a given non-deterministic probabilistic program. Specifically, given a non-termination threshold p∈[0,1], we aim for certificates proving that the program terminates with probability at least 1−p. The basic idea of our approach is to find a terminating stochastic invariant, i.e. a subset SI of program states such that (i) the probability of the program ever leaving SI is no more than p, and (ii) almost-surely, the program either leaves SI or terminates.\r\n\r\nWhile stochastic invariants are already well-known, we provide the first proof that the idea above is not only sound, but also complete for quantitative termination analysis. We then introduce a novel sound and complete characterization of stochastic invariants that enables template-based approaches for easy synthesis of quantitative termination certificates, especially in affine or polynomial forms. Finally, by combining this idea with the existing martingale-based methods that are relatively complete for qualitative termination analysis, we obtain the first automated, sound, and relatively complete algorithm for quantitative termination analysis. Notably, our completeness guarantees for quantitative termination analysis are as strong as the best-known methods for the qualitative variant.\r\n\r\nOur prototype implementation demonstrates the effectiveness of our approach on various probabilistic programs. We also demonstrate that our algorithm certifies lower bounds on termination probability for probabilistic programs that are beyond the reach of previous methods.","lang":"eng"}],"intvolume":"     13371","status":"public","file_date_updated":"2022-08-29T09:17:01Z","publication_status":"published","page":"55-78","type":"conference","publisher":"Springer","date_published":"2022-08-07T00:00:00Z","date_created":"2022-08-28T22:02:02Z","oa_version":"Published Version","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"14539"}]},"language":[{"iso":"eng"}],"month":"08","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","alternative_title":["LNCS"],"title":"Sound and complete certificates for auantitative termination analysis of probabilistic programs","publication":"Proceedings of the 34th International Conference on Computer Aided Verification","external_id":{"isi":["000870304500004"]},"license":"https://creativecommons.org/licenses/by/4.0/","conference":{"location":"Haifa, Israel","start_date":"2022-08-07","end_date":"2022-08-10","name":"CAV: Computer Aided Verification"}}