{"id":"https://openalex.org/W2061751777","doi":"https://doi.org/10.1145/1542476.1542500","title":"Analyzing recursive programs using a fixed-point calculus","display_name":"Analyzing recursive programs using a fixed-point calculus","publication_year":2009,"publication_date":"2009-06-15","ids":{"openalex":"https://openalex.org/W2061751777","doi":"https://doi.org/10.1145/1542476.1542500","mag":"2061751777"},"language":"en","primary_location":{"id":"doi:10.1145/1542476.1542500","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1542476.1542500","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 30th ACM SIGPLAN Conference on Programming Language Design and Implementation","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/A5078894561","display_name":"Salvatore La Torre","orcid":"https://orcid.org/0000-0002-4978-4307"},"institutions":[{"id":"https://openalex.org/I131729948","display_name":"University of Salerno","ror":"https://ror.org/0192m2k53","country_code":"IT","type":"education","lineage":["https://openalex.org/I131729948"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Salvatore La Torre","raw_affiliation_strings":["Universit\u00e0 degli Studi di Salerno, Salerno, Italy"],"affiliations":[{"raw_affiliation_string":"Universit\u00e0 degli Studi di Salerno, Salerno, Italy","institution_ids":["https://openalex.org/I131729948"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112870293","display_name":"P. Madhusudan","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Madhusudan Parthasarathy","raw_affiliation_strings":["University of Illinois at Urbana-Champaign, Urbana, IL, USA","University of Illinois at Urbana/Champaign, Urbana, IL, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"University of Illinois at Urbana/Champaign, Urbana, IL, USA#TAB#","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048623277","display_name":"Gennaro Parlato","orcid":"https://orcid.org/0000-0002-8697-2980"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gennaro Parlato","raw_affiliation_strings":["University of Illinois at Urbana-Champaign, Urbana, IL, USA","University of Illinois at Urbana/Champaign, Urbana, IL, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"University of Illinois at Urbana/Champaign, Urbana, IL, USA#TAB#","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5078894561"],"corresponding_institution_ids":["https://openalex.org/I131729948"],"apc_list":null,"apc_paid":null,"fwci":5.6379,"has_fulltext":false,"cited_by_count":49,"citation_normalized_percentile":{"value":0.96259065,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"211","last_page":"222"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9988999962806702,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.991599977016449,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/rotation-formalisms-in-three-dimensions","display_name":"Rotation formalisms in three dimensions","score":0.6794090867042542},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.657699465751648},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5953071713447571},{"id":"https://openalex.org/keywords/datalog","display_name":"Datalog","score":0.5214592814445496},{"id":"https://openalex.org/keywords/salient","display_name":"Salient","score":0.4534079134464264},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.42201003432273865},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41717758774757385},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.40722981095314026},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.39842748641967773},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31296026706695557},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1374063789844513}],"concepts":[{"id":"https://openalex.org/C171018156","wikidata":"https://www.wikidata.org/wiki/Q7370306","display_name":"Rotation formalisms in three dimensions","level":2,"score":0.6794090867042542},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.657699465751648},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5953071713447571},{"id":"https://openalex.org/C148230440","wikidata":"https://www.wikidata.org/wiki/Q1172264","display_name":"Datalog","level":2,"score":0.5214592814445496},{"id":"https://openalex.org/C2780719617","wikidata":"https://www.wikidata.org/wiki/Q1030752","display_name":"Salient","level":2,"score":0.4534079134464264},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.42201003432273865},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41717758774757385},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.40722981095314026},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.39842748641967773},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31296026706695557},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1374063789844513},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/1542476.1542500","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1542476.1542500","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 30th ACM SIGPLAN Conference on Programming Language Design and Implementation","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.141.7993","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.141.7993","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.uiuc.edu/homes/madhu/getafix/getafix.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.208.9729","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.208.9729","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.dia.unisa.it/dottorandi/parlato/papers/pldi09.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W148396834","https://openalex.org/W1493367105","https://openalex.org/W1514446453","https://openalex.org/W1530308835","https://openalex.org/W1554834491","https://openalex.org/W1577404745","https://openalex.org/W1592840252","https://openalex.org/W1598142426","https://openalex.org/W1691700263","https://openalex.org/W2024779397","https://openalex.org/W2035561341","https://openalex.org/W2080573945","https://openalex.org/W2082000355","https://openalex.org/W2087046173","https://openalex.org/W2088846354","https://openalex.org/W2101936540","https://openalex.org/W2105357036","https://openalex.org/W2128453996","https://openalex.org/W2135948849","https://openalex.org/W2136503680","https://openalex.org/W2138612921","https://openalex.org/W2151670874","https://openalex.org/W2158047578","https://openalex.org/W2158600037","https://openalex.org/W2770491639","https://openalex.org/W3022006420","https://openalex.org/W4230104298","https://openalex.org/W4232505977","https://openalex.org/W4242397730","https://openalex.org/W4248889516","https://openalex.org/W4256185032"],"related_works":["https://openalex.org/W2955734379","https://openalex.org/W2049216635","https://openalex.org/W3121709727","https://openalex.org/W2309621853","https://openalex.org/W1537382653","https://openalex.org/W2517279098","https://openalex.org/W2030105170","https://openalex.org/W2145813209","https://openalex.org/W2893316903","https://openalex.org/W2160364119"],"abstract_inverted_index":{"We":[0],"show":[1],"that":[2,60,79],"recursive":[3],"programs":[4],"where":[5],"variables":[6],"range":[7],"over":[8],"finite":[9],"domains":[10],"can":[11],"be":[12,86],"effectively":[13],"and":[14,48],"efficiently":[15],"analyzed":[16],"by":[17],"describing":[18],"the":[19,70,76],"analysis":[20,66],"algorithm":[21],"using":[22],"a":[23,26,36,41],"formula":[24],"in":[25,33],"fixed-point":[27,37,71],"calculus.":[28],"In":[29],"contrast":[30],"with":[31],"programming":[32,43],"traditional":[34],"languages,":[35],"calculus":[38,72],"serves":[39],"as":[40],"high-level":[42,58],"language":[44],"to":[45,85],"easily,":[46],"correctly,":[47],"succinctly":[49],"describe":[50],"model-checking":[51],"algorithms":[52],"While":[53],"there":[54],"have":[55,61],"been":[56,62],"declarative":[57],"formalisms":[59],"proposed":[63],"earlier":[64],"for":[65],"problems":[67],"(e.g.,":[68],"Datalog":[69],"we":[73],"propose":[74],"has":[75],"salient":[77],"feature":[78],"it":[80],"also":[81],"allows":[82],"algorithmic":[83],"aspects":[84],"specified.":[87]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":7}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}