{"id":"https://openalex.org/W2294463722","doi":"https://doi.org/10.1145/2933575.2935317","title":"Reasoning about Recursive Probabilistic Programs","display_name":"Reasoning about Recursive Probabilistic Programs","publication_year":2016,"publication_date":"2016-07-05","ids":{"openalex":"https://openalex.org/W2294463722","doi":"https://doi.org/10.1145/2933575.2935317","mag":"2294463722"},"language":"en","primary_location":{"id":"doi:10.1145/2933575.2935317","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2933575.2935317","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 31st Annual ACM/IEEE Symposium on Logic in Computer Science","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009421242","display_name":"Federico Olmedo","orcid":"https://orcid.org/0000-0003-0217-6483"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Federico Olmedo","raw_affiliation_strings":["RWTH Aachen University, Germany"],"affiliations":[{"raw_affiliation_string":"RWTH Aachen University, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045667283","display_name":"Benjamin Lucien Kaminski","orcid":"https://orcid.org/0000-0001-5185-2324"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Benjamin Lucien Kaminski","raw_affiliation_strings":["RWTH Aachen University, Germany"],"affiliations":[{"raw_affiliation_string":"RWTH Aachen University, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090819329","display_name":"Joost-Pieter Katoen","orcid":"https://orcid.org/0000-0002-6143-1926"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Joost-Pieter Katoen","raw_affiliation_strings":["RWTH Aachen University, Germany"],"affiliations":[{"raw_affiliation_string":"RWTH Aachen University, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089189715","display_name":"Christoph Matheja","orcid":"https://orcid.org/0000-0001-9151-0441"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christoph Matheja","raw_affiliation_strings":["RWTH Aachen University, Germany"],"affiliations":[{"raw_affiliation_string":"RWTH Aachen University, Germany","institution_ids":["https://openalex.org/I887968799"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5009421242"],"corresponding_institution_ids":["https://openalex.org/I887968799"],"apc_list":null,"apc_paid":null,"fwci":13.0056,"has_fulltext":false,"cited_by_count":85,"citation_normalized_percentile":{"value":0.98801688,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"672","last_page":"681"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9998999834060669,"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":0.9998999834060669,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9994999766349792,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9991000294685364,"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/soundness","display_name":"Soundness","score":0.8325657844543457},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.7901559472084045},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6190865635871887},{"id":"https://openalex.org/keywords/pushdown-automaton","display_name":"Pushdown automaton","score":0.59896320104599},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.5545291304588318},{"id":"https://openalex.org/keywords/probabilistic-automaton","display_name":"Probabilistic automaton","score":0.4962075352668762},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.47406166791915894},{"id":"https://openalex.org/keywords/predicate-transformer-semantics","display_name":"Predicate transformer semantics","score":0.46790891885757446},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4665358364582062},{"id":"https://openalex.org/keywords/probabilistic-ctl","display_name":"Probabilistic CTL","score":0.45967748761177063},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.43966442346572876},{"id":"https://openalex.org/keywords/operational-semantics","display_name":"Operational semantics","score":0.3851863145828247},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3704942762851715},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32883453369140625},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32655954360961914},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32369464635849},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30203795433044434},{"id":"https://openalex.org/keywords/probabilistic-analysis-of-algorithms","display_name":"Probabilistic analysis of algorithms","score":0.2709886133670807},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1437108814716339}],"concepts":[{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.8325657844543457},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.7901559472084045},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6190865635871887},{"id":"https://openalex.org/C77944639","wikidata":"https://www.wikidata.org/wiki/Q751443","display_name":"Pushdown automaton","level":3,"score":0.59896320104599},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.5545291304588318},{"id":"https://openalex.org/C174784677","wikidata":"https://www.wikidata.org/wiki/Q176567","display_name":"Probabilistic automaton","level":3,"score":0.4962075352668762},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.47406166791915894},{"id":"https://openalex.org/C30128091","wikidata":"https://www.wikidata.org/wiki/Q291929","display_name":"Predicate transformer semantics","level":4,"score":0.46790891885757446},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4665358364582062},{"id":"https://openalex.org/C52063229","wikidata":"https://www.wikidata.org/wiki/Q7246845","display_name":"Probabilistic CTL","level":4,"score":0.45967748761177063},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.43966442346572876},{"id":"https://openalex.org/C156325763","wikidata":"https://www.wikidata.org/wiki/Q1930895","display_name":"Operational semantics","level":3,"score":0.3851863145828247},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3704942762851715},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32883453369140625},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32655954360961914},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32369464635849},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30203795433044434},{"id":"https://openalex.org/C24404364","wikidata":"https://www.wikidata.org/wiki/Q7246846","display_name":"Probabilistic analysis of algorithms","level":3,"score":0.2709886133670807},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1437108814716339},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2933575.2935317","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2933575.2935317","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 31st Annual ACM/IEEE Symposium on Logic in Computer Science","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4000000059604645,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W94183712","https://openalex.org/W1491368825","https://openalex.org/W1492711856","https://openalex.org/W1530002891","https://openalex.org/W1534323856","https://openalex.org/W1561218590","https://openalex.org/W1574366287","https://openalex.org/W1579810878","https://openalex.org/W1595069411","https://openalex.org/W1595409123","https://openalex.org/W1595979311","https://openalex.org/W1973393028","https://openalex.org/W2012569382","https://openalex.org/W2014354084","https://openalex.org/W2024355065","https://openalex.org/W2030865387","https://openalex.org/W2033036630","https://openalex.org/W2049352441","https://openalex.org/W2050001863","https://openalex.org/W2060317138","https://openalex.org/W2062306963","https://openalex.org/W2071747607","https://openalex.org/W2083374362","https://openalex.org/W2103953153","https://openalex.org/W2105544671","https://openalex.org/W2154231274","https://openalex.org/W2166496828","https://openalex.org/W2222812367","https://openalex.org/W2231181984","https://openalex.org/W2294463722","https://openalex.org/W2295266283","https://openalex.org/W4381624480"],"related_works":["https://openalex.org/W2065292090","https://openalex.org/W249340682","https://openalex.org/W4313207396","https://openalex.org/W2950348473","https://openalex.org/W2038056353","https://openalex.org/W2944963859","https://openalex.org/W1817234734","https://openalex.org/W4214926706","https://openalex.org/W1535566948","https://openalex.org/W2096349874"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,41,49],"wp--style":[4,50],"calculus":[5,51],"for":[6,28,52],"obtaining":[7,53],"expectations":[8],"on":[9,55],"the":[10,33,56,68],"outcomes":[11],"of":[12,35,59,74],"(mutually)":[13],"recursive":[14,60],"probabilistic":[15,42],"programs.":[16,76],"We":[17,46],"provide":[18],"several":[19],"proof":[20],"rules":[21],"to":[22,40,66],"derive":[23],"one--":[24],"and":[25,31],"two--sided":[26],"bounds":[27,54],"such":[29,75],"expectations,":[30],"show":[32],"soundness":[34],"our":[36],"wp--calculus":[37],"with":[38],"respect":[39],"pushdown":[43],"automaton":[44],"semantics.":[45],"also":[47],"give":[48],"expected":[57],"runtime":[58],"programs":[61],"that":[62],"can":[63],"be":[64],"used":[65],"determine":[67],"(possibly":[69],"infinite)":[70],"time":[71],"until":[72],"termination":[73]},"counts_by_year":[{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":16},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":13},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
