{"id":"https://openalex.org/W2139929430","doi":"https://doi.org/10.1145/1857914.1857917","title":"Newtonian program analysis","display_name":"Newtonian program analysis","publication_year":2010,"publication_date":"2010-10-01","ids":{"openalex":"https://openalex.org/W2139929430","doi":"https://doi.org/10.1145/1857914.1857917","mag":"2139929430"},"language":"en","primary_location":{"id":"doi:10.1145/1857914.1857917","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1857914.1857917","pdf_url":null,"source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"is_oa":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the ACM","raw_type":"journal-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/A5090378914","display_name":"Javier Esparza","orcid":"https://orcid.org/0000-0001-9862-4919"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Javier Esparza","raw_affiliation_strings":["Technische Universit\u00e4t M\u00fcnchen, Garching, Germany"],"affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t M\u00fcnchen, Garching, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054782057","display_name":"Stefan Kiefer","orcid":"https://orcid.org/0000-0003-4173-6877"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Stefan Kiefer","raw_affiliation_strings":["Technische Universit\u00e4t M\u00fcnchen, Garching, Germany"],"affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t M\u00fcnchen, Garching, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008144501","display_name":"Michael Luttenberger","orcid":null},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael Luttenberger","raw_affiliation_strings":["Technische Universit\u00e4t M\u00fcnchen, Garching, Germany"],"affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t M\u00fcnchen, Garching, Germany","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5090378914"],"corresponding_institution_ids":["https://openalex.org/I62916508"],"apc_list":null,"apc_paid":null,"fwci":4.785,"has_fulltext":false,"cited_by_count":60,"citation_normalized_percentile":{"value":0.95246726,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"57","issue":"6","first_page":"1","last_page":"47"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9995999932289124,"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":0.9995999932289124,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9970999956130981,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/dataflow","display_name":"Dataflow","score":0.736063539981842},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.5843029022216797},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.5502750873565674},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.524926483631134},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4707893431186676},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46512648463249207},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.46036186814308167},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4536818563938141},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45080867409706116},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.4315212666988373},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.35525286197662354},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.28925779461860657},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2760321795940399},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.13548865914344788},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13460510969161987},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.09530803561210632}],"concepts":[{"id":"https://openalex.org/C96324660","wikidata":"https://www.wikidata.org/wiki/Q205446","display_name":"Dataflow","level":2,"score":0.736063539981842},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.5843029022216797},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.5502750873565674},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.524926483631134},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4707893431186676},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46512648463249207},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.46036186814308167},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4536818563938141},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45080867409706116},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.4315212666988373},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35525286197662354},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.28925779461860657},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2760321795940399},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.13548865914344788},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13460510969161987},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.09530803561210632},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1145/1857914.1857917","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1857914.1857917","pdf_url":null,"source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"is_oa":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the ACM","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.185.3250","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.185.3250","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www7.in.tum.de/um/bibdb/esparza/JACM-EKL.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.192.4693","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.192.4693","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www7.in.tum.de/um/bibdb/esparza/newtProgAn.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.375.5753","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.375.5753","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www7.in.tum.de/um/bibdb/luttenbe/newtProgAn.pdf","raw_type":"text"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:a4d0ace6-1606-4c2a-bb10-f338e3b24984","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:a4d0ace6-1606-4c2a-bb10-f338e3b24984","pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symplectic Elements at Oxford","raw_type":"Journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W1485757985","https://openalex.org/W1517554512","https://openalex.org/W1545759797","https://openalex.org/W1553894716","https://openalex.org/W1570949334","https://openalex.org/W1575148977","https://openalex.org/W1584587517","https://openalex.org/W1593165330","https://openalex.org/W1844369525","https://openalex.org/W1972489978","https://openalex.org/W1978445909","https://openalex.org/W1982538124","https://openalex.org/W1998368317","https://openalex.org/W2004419599","https://openalex.org/W2005059149","https://openalex.org/W2010626618","https://openalex.org/W2025554746","https://openalex.org/W2036157748","https://openalex.org/W2043100293","https://openalex.org/W2053152889","https://openalex.org/W2065290848","https://openalex.org/W2073779224","https://openalex.org/W2080573945","https://openalex.org/W2090567381","https://openalex.org/W2090963365","https://openalex.org/W2093184664","https://openalex.org/W2096801634","https://openalex.org/W2102440514","https://openalex.org/W2111229114","https://openalex.org/W2117685302","https://openalex.org/W2124091985","https://openalex.org/W2124153277","https://openalex.org/W2130618976","https://openalex.org/W2133667894","https://openalex.org/W2156429182","https://openalex.org/W2157390113","https://openalex.org/W2160650760","https://openalex.org/W2163152086","https://openalex.org/W2167246417","https://openalex.org/W2168377292","https://openalex.org/W2330756801","https://openalex.org/W2770491639","https://openalex.org/W4244831445","https://openalex.org/W7074651112"],"related_works":["https://openalex.org/W2293118914","https://openalex.org/W2998381397","https://openalex.org/W4236419692","https://openalex.org/W3167919718","https://openalex.org/W4251718783","https://openalex.org/W2171015181","https://openalex.org/W4239447582","https://openalex.org/W1484403103","https://openalex.org/W2521947294","https://openalex.org/W2907307640"],"abstract_inverted_index":{"This":[0],"article":[1],"presents":[2],"a":[3,25,28,42,105],"novel":[4],"generic":[5],"technique":[6,16],"for":[7,23,86],"solving":[8],"dataflow":[9,13],"equations":[10,109],"in":[11,94],"interprocedural":[12],"analysis.":[14],"The":[15],"is":[17,110],"obtained":[18],"by":[19],"generalizing":[20],"Newton's":[21,82],"method":[22,53,83],"computing":[24],"zero":[26],"of":[27,45,100,107],"differentiable":[29],"function":[30],"to":[31,56,79,103],"\u03c9-continuous":[32,46],"semirings.":[33,47,91],"Complete":[34],"semilattices,":[35],"the":[36,57,95,98],"common":[37],"program":[38],"analysis":[39],"framework,":[40],"are":[41],"special":[43],"class":[44],"We":[48,74],"show":[49,76],"that":[50],"our":[51],"generalized":[52],"always":[54,84],"converges":[55],"solution,":[58],"and":[59,89],"requires":[60],"at":[61,111],"most":[62,112],"as":[63,66],"many":[64],"iterations":[65,101],"current":[67],"methods":[68],"based":[69],"on":[70],"Kleene's":[71,80],"fixed-point":[72],"theorem.":[73],"also":[75],"that,":[77],"contrary":[78],"method,":[81],"terminates":[85],"arbitrary":[87],"idempotent":[88],"commutative":[90],"More":[92],"precisely,":[93],"latter":[96],"setting":[97],"number":[99],"required":[102],"solve":[104],"system":[106],"n":[108,113],".":[114]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-11T08:14:18.477133","created_date":"2025-10-10T00:00:00"}