{"doi":"10.1145/3656462","date_created":"2024-07-21T22:01:01Z","article_processing_charge":"Yes (via OA deal)","scopus_import":"1","external_id":{"arxiv":["2404.03430"]},"status":"public","file_date_updated":"2024-07-22T07:17:14Z","file":[{"file_size":355421,"date_updated":"2024-07-22T07:17:14Z","creator":"dernst","access_level":"open_access","file_id":"17290","content_type":"application/pdf","relation":"main_file","date_created":"2024-07-22T07:17:14Z","file_name":"2024_ACMProgLang_Chatterjee.pdf","checksum":"8cbf220f284a4a87d093db5320c5afdd","success":1}],"date_updated":"2024-07-22T07:19:22Z","oa_version":"Published Version","publication_identifier":{"eissn":["2475-1421"]},"article_type":"original","publication":"Proceedings of the ACM on Programming Languages","publication_status":"published","month":"06","volume":8,"year":"2024","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","abstract":[{"text":"We consider the problems of statically refuting equivalence and similarity of output distributions defined by a pair of probabilistic programs. Equivalence and similarity are two fundamental relational properties of probabilistic programs that are essential for their correctness both in implementation and in compilation. In this work, we present a new method for static equivalence and similarity refutation. Our method refutes equivalence and similarity by computing a function over program outputs whose expected value with respect to the output distributions of two programs is different. The function is computed simultaneously with an upper expectation supermartingale and a lower expectation submartingale for the two programs, which we show to together provide a formal certificate for refuting equivalence and similarity. To the best of our knowledge, our method is the first approach to relational program analysis to offer the combination of the following desirable features: (1) it is fully automated, (2) it is applicable to infinite-state probabilistic programs, and (3) it provides formal guarantees on the correctness of its results. We implement a prototype of our method and our experiments demonstrate the effectiveness of our method to refute equivalence and similarity for a number of examples collected from the literature.","lang":"eng"}],"_id":"17283","day":"20","has_accepted_license":"1","type":"journal_article","ec_funded":1,"date_published":"2024-06-20T00:00:00Z","project":[{"name":"Formal Methods for Stochastic Models: Algorithms and Applications","call_identifier":"H2020","grant_number":"863818","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E"}],"oa":1,"corr_author":"1","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"department":[{"_id":"KrCh"}],"author":[{"id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","first_name":"Krishnendu","last_name":"Chatterjee","full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X"},{"last_name":"Goharshady","first_name":"Ehsan","full_name":"Goharshady, Ehsan"},{"id":"3CC3B868-F248-11E8-B48F-1D18A9856A87","last_name":"Novotný","first_name":"Petr","full_name":"Novotný, Petr"},{"full_name":"Zikelic, Dorde","orcid":"0000-0002-4681-1699","first_name":"Dorde","last_name":"Zikelic","id":"294AA7A6-F248-11E8-B48F-1D18A9856A87"}],"intvolume":"         8","quality_controlled":"1","citation":{"ista":"Chatterjee K, Goharshady E, Novotný P, Zikelic D. 2024. Equivalence and similarity refutation for probabilistic programs. Proceedings of the ACM on Programming Languages. 8, 232.","chicago":"Chatterjee, Krishnendu, Ehsan Goharshady, Petr Novotný, and Dorde Zikelic. “Equivalence and Similarity Refutation for Probabilistic Programs.” <i>Proceedings of the ACM on Programming Languages</i>. Association for Computing Machinery, 2024. <a href=\"https://doi.org/10.1145/3656462\">https://doi.org/10.1145/3656462</a>.","apa":"Chatterjee, K., Goharshady, E., Novotný, P., &#38; Zikelic, D. (2024). Equivalence and similarity refutation for probabilistic programs. <i>Proceedings of the ACM on Programming Languages</i>. Association for Computing Machinery. <a href=\"https://doi.org/10.1145/3656462\">https://doi.org/10.1145/3656462</a>","mla":"Chatterjee, Krishnendu, et al. “Equivalence and Similarity Refutation for Probabilistic Programs.” <i>Proceedings of the ACM on Programming Languages</i>, vol. 8, 232, Association for Computing Machinery, 2024, doi:<a href=\"https://doi.org/10.1145/3656462\">10.1145/3656462</a>.","short":"K. Chatterjee, E. Goharshady, P. Novotný, D. Zikelic, Proceedings of the ACM on Programming Languages 8 (2024).","ama":"Chatterjee K, Goharshady E, Novotný P, Zikelic D. Equivalence and similarity refutation for probabilistic programs. <i>Proceedings of the ACM on Programming Languages</i>. 2024;8. doi:<a href=\"https://doi.org/10.1145/3656462\">10.1145/3656462</a>","ieee":"K. Chatterjee, E. Goharshady, P. Novotný, and D. Zikelic, “Equivalence and similarity refutation for probabilistic programs,” <i>Proceedings of the ACM on Programming Languages</i>, vol. 8. Association for Computing Machinery, 2024."},"ddc":["000"],"article_number":"232","language":[{"iso":"eng"}],"publisher":"Association for Computing Machinery","acknowledgement":"This research was partially supported by the ERC CoG 863818 (ForM-SMArt) grant. Petr Novotný\r\nis supported by the Czech Science Foundation grant no. GA23-06963S.\r\n","title":"Equivalence and similarity refutation for probabilistic programs"}