{"id":"https://openalex.org/W4307731812","doi":"https://doi.org/10.1145/3563341","title":"This is the moment for probabilistic loops","display_name":"This is the moment for probabilistic loops","publication_year":2022,"publication_date":"2022-10-31","ids":{"openalex":"https://openalex.org/W4307731812","doi":"https://doi.org/10.1145/3563341"},"language":"en","primary_location":{"id":"doi:10.1145/3563341","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3563341","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3563341","source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Programming Languages","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3563341","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061232407","display_name":"Marcel Moosbrugger","orcid":"https://orcid.org/0000-0002-2006-3741"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Marcel Moosbrugger","raw_affiliation_strings":["TU Wien, Austria"],"raw_orcid":"https://orcid.org/0000-0002-2006-3741","affiliations":[{"raw_affiliation_string":"TU Wien, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088752662","display_name":"Miroslav Stankovi\u010d","orcid":"https://orcid.org/0000-0001-5978-7475"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Miroslav Stankovi\u010d","raw_affiliation_strings":["TU Wien, Austria"],"raw_orcid":"https://orcid.org/0000-0001-5978-7475","affiliations":[{"raw_affiliation_string":"TU Wien, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050836932","display_name":"Ezio Bartocci","orcid":"https://orcid.org/0000-0002-8004-6601"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Ezio Bartocci","raw_affiliation_strings":["TU Wien, Austria"],"raw_orcid":"https://orcid.org/0000-0002-8004-6601","affiliations":[{"raw_affiliation_string":"TU Wien, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071158512","display_name":"Laura Kov\u00e1cs","orcid":"https://orcid.org/0000-0002-8299-2714"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Laura Kov\u00e1cs","raw_affiliation_strings":["TU Wien, Austria"],"raw_orcid":"https://orcid.org/0000-0002-8299-2714","affiliations":[{"raw_affiliation_string":"TU Wien, Austria","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I145847075"],"apc_list":null,"apc_paid":null,"fwci":3.1833,"has_fulltext":true,"cited_by_count":29,"citation_normalized_percentile":{"value":0.92970828,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"6","issue":"OOPSLA2","first_page":"1497","last_page":"1525"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9915000200271606,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.8594484925270081},{"id":"https://openalex.org/keywords/probabilistic-relevance-model","display_name":"Probabilistic relevance model","score":0.6554532051086426},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.6417370438575745},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6040488481521606},{"id":"https://openalex.org/keywords/probabilistic-ctl","display_name":"Probabilistic CTL","score":0.5765105485916138},{"id":"https://openalex.org/keywords/probabilistic-analysis-of-algorithms","display_name":"Probabilistic analysis of algorithms","score":0.5508723258972168},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.5356618165969849},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5049734711647034},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4968126118183136},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4824967384338379},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3836050033569336},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3744320869445801},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3447940945625305},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1947038769721985},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12245973944664001},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07978507876396179}],"concepts":[{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.8594484925270081},{"id":"https://openalex.org/C143017306","wikidata":"https://www.wikidata.org/wiki/Q3318133","display_name":"Probabilistic relevance model","level":4,"score":0.6554532051086426},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.6417370438575745},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6040488481521606},{"id":"https://openalex.org/C52063229","wikidata":"https://www.wikidata.org/wiki/Q7246845","display_name":"Probabilistic CTL","level":4,"score":0.5765105485916138},{"id":"https://openalex.org/C24404364","wikidata":"https://www.wikidata.org/wiki/Q7246846","display_name":"Probabilistic analysis of algorithms","level":3,"score":0.5508723258972168},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.5356618165969849},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5049734711647034},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4968126118183136},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4824967384338379},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3836050033569336},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3744320869445801},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3447940945625305},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1947038769721985},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12245973944664001},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07978507876396179},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3563341","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3563341","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3563341","source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Programming Languages","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/3563341","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3563341","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3563341","source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Programming Languages","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1975729292","display_name":null,"funder_award_id":"W1255-N23","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G5721300252","display_name":"ProbInG: Distribution Recovery for Invariant Generation of Probabilistic Programs","funder_award_id":"ICT19-018","funder_id":"https://openalex.org/F4320321003","funder_display_name":"Vienna Science and Technology Fund"},{"id":"https://openalex.org/G8033010915","display_name":null,"funder_award_id":"101002685","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"},{"id":"https://openalex.org/G8680849391","display_name":"Logical Methods in Computer Science","funder_award_id":"W1255","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320321003","display_name":"Vienna Science and Technology Fund","ror":"https://ror.org/01f9mc681"},{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"},{"id":"https://openalex.org/F4320322839","display_name":"Technische Universit\u00e4t Wien","ror":"https://ror.org/04d836q62"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4307731812.pdf","grobid_xml":"https://content.openalex.org/works/W4307731812.grobid-xml"},"referenced_works_count":64,"referenced_works":["https://openalex.org/W57094165","https://openalex.org/W1494192115","https://openalex.org/W1498432697","https://openalex.org/W1585981132","https://openalex.org/W1729037535","https://openalex.org/W1734364899","https://openalex.org/W1967845657","https://openalex.org/W1973393028","https://openalex.org/W1992996044","https://openalex.org/W2000108089","https://openalex.org/W2013823004","https://openalex.org/W2030895696","https://openalex.org/W2067971887","https://openalex.org/W2102892532","https://openalex.org/W2155049725","https://openalex.org/W2184410169","https://openalex.org/W2291412772","https://openalex.org/W2390784308","https://openalex.org/W2395654200","https://openalex.org/W2398327122","https://openalex.org/W2410243683","https://openalex.org/W2413029416","https://openalex.org/W2474495061","https://openalex.org/W2484078761","https://openalex.org/W2485514507","https://openalex.org/W2490124688","https://openalex.org/W2494200839","https://openalex.org/W2522017073","https://openalex.org/W2612425693","https://openalex.org/W2780276625","https://openalex.org/W2781303448","https://openalex.org/W2803490327","https://openalex.org/W2899568449","https://openalex.org/W2912798479","https://openalex.org/W2926374695","https://openalex.org/W2963258324","https://openalex.org/W2964102784","https://openalex.org/W2977408235","https://openalex.org/W2982014993","https://openalex.org/W3010706931","https://openalex.org/W3016895022","https://openalex.org/W3033229382","https://openalex.org/W3099870977","https://openalex.org/W3100287873","https://openalex.org/W3107908039","https://openalex.org/W3132304327","https://openalex.org/W3145555275","https://openalex.org/W3159836140","https://openalex.org/W3167391728","https://openalex.org/W3173567886","https://openalex.org/W3175066792","https://openalex.org/W3184096451","https://openalex.org/W3186609013","https://openalex.org/W4200419269","https://openalex.org/W4211192810","https://openalex.org/W4231916799","https://openalex.org/W4243410516","https://openalex.org/W4245577611","https://openalex.org/W4246464108","https://openalex.org/W4299694611","https://openalex.org/W4300004495","https://openalex.org/W4300535772","https://openalex.org/W4307736794","https://openalex.org/W6950792963"],"related_works":["https://openalex.org/W2576017016","https://openalex.org/W2749065928","https://openalex.org/W2494523064","https://openalex.org/W4224019010","https://openalex.org/W2160610433","https://openalex.org/W2903940728","https://openalex.org/W2096349874","https://openalex.org/W3143712745","https://openalex.org/W2076385713","https://openalex.org/W2030292806"],"abstract_inverted_index":{"We":[0,42,63],"present":[1],"a":[2,15],"novel":[3],"static":[4],"analysis":[5],"technique":[6],"to":[7,54,68],"derive":[8],"higher":[9,87],"moments":[10,88],"for":[11,14,85],"program":[12,52],"variables":[13,103],"large":[16],"class":[17],"of":[18,74,81,101,111,117],"probabilistic":[19,56,75,83],"loops":[20,84],"with":[21],"potentially":[22],"uncountable":[23],"state":[24],"spaces.":[25],"Our":[26,93],"approach":[27],"is":[28],"fully":[29],"automatic,":[30],"meaning":[31],"it":[32],"does":[33],"not":[34],"rely":[35],"on":[36,47,120],"externally":[37],"provided":[38],"invariants":[39],"or":[40],"templates.":[41],"employ":[43],"algebraic":[44],"techniques":[45,67],"based":[46],"linear":[48],"recurrences":[49],"and":[50,77,104],"introduce":[51],"transformations":[53],"simplify":[55,70],"programs":[57,76],"while":[58],"preserving":[59],"their":[60],"statistical":[61],"properties.":[62],"develop":[64],"power":[65],"reduction":[66],"further":[69],"the":[71,79,115],"polynomial":[72],"arithmetic":[73],"define":[78],"theory":[80],"moment-computable":[82],"which":[86],"can":[89],"precisely":[90],"be":[91],"computed.":[92],"work":[94,119],"has":[95],"applications":[96],"towards":[97],"recovering":[98],"probability":[99],"distributions":[100],"random":[102],"computing":[105],"tail":[106],"probabilities.":[107],"The":[108],"empirical":[109],"evaluation":[110],"our":[112,118],"results":[113],"demonstrates":[114],"applicability":[116],"many":[121],"challenging":[122],"examples.":[123]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":13},{"year":2023,"cited_by_count":4}],"updated_date":"2026-07-25T15:57:00.446498","created_date":"2025-10-10T00:00:00"}