{"id":"https://openalex.org/W2148597203","doi":"https://doi.org/10.1145/1006209.1006226","title":"A unified framework for nonlinear dependence testing and symbolic analysis","display_name":"A unified framework for nonlinear dependence testing and symbolic analysis","publication_year":2004,"publication_date":"2004-06-26","ids":{"openalex":"https://openalex.org/W2148597203","doi":"https://doi.org/10.1145/1006209.1006226","mag":"2148597203"},"language":"en","primary_location":{"id":"doi:10.1145/1006209.1006226","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1006209.1006226","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 18th annual international conference on Supercomputing","raw_type":"proceedings-article"},"type":"conference-paper","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/A5109048740","display_name":"Robert A. van Engelen","orcid":null},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robert A. van Engelen","raw_affiliation_strings":["Florida State University, Tallahassee, FL"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Florida State University, Tallahassee, FL","institution_ids":["https://openalex.org/I103163165"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037558603","display_name":"Johnnie Birch","orcid":null},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Birch","raw_affiliation_strings":["Florida State University, Tallahassee, FL"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Florida State University, Tallahassee, FL","institution_ids":["https://openalex.org/I103163165"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074125036","display_name":"Yixin Shou","orcid":null},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Y. Shou","raw_affiliation_strings":["Florida State University, Tallahassee, FL"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Florida State University, Tallahassee, FL","institution_ids":["https://openalex.org/I103163165"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060148789","display_name":"Burt Walsh","orcid":null},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"B. Walsh","raw_affiliation_strings":["Florida State University, Tallahassee, FL"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Florida State University, Tallahassee, FL","institution_ids":["https://openalex.org/I103163165"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018426276","display_name":"Kyle A. Gallivan","orcid":"https://orcid.org/0000-0003-4572-4240"},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kyle A. Gallivan","raw_affiliation_strings":["Florida State University, Tallahassee, FL"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Florida State University, Tallahassee, FL","institution_ids":["https://openalex.org/I103163165"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I103163165"],"apc_list":null,"apc_paid":null,"fwci":3.2959,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.92744269,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"106","last_page":"115"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T10904","display_name":"Embedded Systems Design Techniques","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/pointer","display_name":"Pointer (user interface)","score":0.7537028789520264},{"id":"https://openalex.org/keywords/pointer-analysis","display_name":"Pointer analysis","score":0.7096292972564697},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6856662631034851},{"id":"https://openalex.org/keywords/compiler","display_name":"Compiler","score":0.6705077886581421},{"id":"https://openalex.org/keywords/symbolic-data-analysis","display_name":"Symbolic data analysis","score":0.5988460779190063},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5222828388214111},{"id":"https://openalex.org/keywords/algebraic-analysis","display_name":"Algebraic analysis","score":0.5204089879989624},{"id":"https://openalex.org/keywords/program-analysis","display_name":"Program analysis","score":0.5130928754806519},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4885064363479614},{"id":"https://openalex.org/keywords/dependence-analysis","display_name":"Dependence analysis","score":0.4863277077674866},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48018375039100647},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.41421791911125183},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3848161995410919},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3703608214855194},{"id":"https://openalex.org/keywords/static-analysis","display_name":"Static analysis","score":0.33210140466690063},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22653892636299133},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1425289511680603},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.08630871772766113}],"concepts":[{"id":"https://openalex.org/C150202949","wikidata":"https://www.wikidata.org/wiki/Q107602","display_name":"Pointer (user interface)","level":2,"score":0.7537028789520264},{"id":"https://openalex.org/C7263679","wikidata":"https://www.wikidata.org/wiki/Q5978076","display_name":"Pointer analysis","level":3,"score":0.7096292972564697},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6856662631034851},{"id":"https://openalex.org/C169590947","wikidata":"https://www.wikidata.org/wiki/Q47506","display_name":"Compiler","level":2,"score":0.6705077886581421},{"id":"https://openalex.org/C65620979","wikidata":"https://www.wikidata.org/wiki/Q7661176","display_name":"Symbolic data analysis","level":2,"score":0.5988460779190063},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5222828388214111},{"id":"https://openalex.org/C554573382","wikidata":"https://www.wikidata.org/wiki/Q4723988","display_name":"Algebraic analysis","level":5,"score":0.5204089879989624},{"id":"https://openalex.org/C98183937","wikidata":"https://www.wikidata.org/wiki/Q2112188","display_name":"Program analysis","level":2,"score":0.5130928754806519},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4885064363479614},{"id":"https://openalex.org/C27390822","wikidata":"https://www.wikidata.org/wiki/Q320724","display_name":"Dependence analysis","level":2,"score":0.4863277077674866},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48018375039100647},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.41421791911125183},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3848161995410919},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3703608214855194},{"id":"https://openalex.org/C97686452","wikidata":"https://www.wikidata.org/wiki/Q7604153","display_name":"Static analysis","level":2,"score":0.33210140466690063},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22653892636299133},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1425289511680603},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08630871772766113},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/1006209.1006226","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1006209.1006226","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 18th annual international conference on Supercomputing","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.130.872","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.130.872","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.csit.fsu.edu/~gallivan/papers/Acm/ics04-acm.pdf.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.87.7782","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.87.7782","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.fsu.edu/~engelen/p190-engelen.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":69,"referenced_works":["https://openalex.org/W20740513","https://openalex.org/W90801636","https://openalex.org/W109809248","https://openalex.org/W156127891","https://openalex.org/W195819386","https://openalex.org/W204522220","https://openalex.org/W238934872","https://openalex.org/W1491178396","https://openalex.org/W1495312391","https://openalex.org/W1498163379","https://openalex.org/W1500590019","https://openalex.org/W1505072670","https://openalex.org/W1523996342","https://openalex.org/W1524877046","https://openalex.org/W1560642162","https://openalex.org/W1565360684","https://openalex.org/W1565948308","https://openalex.org/W1573046885","https://openalex.org/W1580474338","https://openalex.org/W1949424081","https://openalex.org/W1964714157","https://openalex.org/W1969897078","https://openalex.org/W1972388855","https://openalex.org/W1995237272","https://openalex.org/W1997483018","https://openalex.org/W1999346024","https://openalex.org/W2006508316","https://openalex.org/W2007914110","https://openalex.org/W2008398511","https://openalex.org/W2008875774","https://openalex.org/W2014259743","https://openalex.org/W2017482298","https://openalex.org/W2018636274","https://openalex.org/W2034896401","https://openalex.org/W2037690395","https://openalex.org/W2037929850","https://openalex.org/W2040384644","https://openalex.org/W2042264308","https://openalex.org/W2044738061","https://openalex.org/W2047937237","https://openalex.org/W2078113878","https://openalex.org/W2078314687","https://openalex.org/W2079235644","https://openalex.org/W2088310270","https://openalex.org/W2089294198","https://openalex.org/W2095840200","https://openalex.org/W2097699872","https://openalex.org/W2108149083","https://openalex.org/W2109807142","https://openalex.org/W2111365507","https://openalex.org/W2112482891","https://openalex.org/W2114067856","https://openalex.org/W2123790465","https://openalex.org/W2127691752","https://openalex.org/W2135320678","https://openalex.org/W2153913439","https://openalex.org/W2155632873","https://openalex.org/W2165554657","https://openalex.org/W2165820775","https://openalex.org/W2168822173","https://openalex.org/W2171262795","https://openalex.org/W2997748120","https://openalex.org/W4210721069","https://openalex.org/W4213319612","https://openalex.org/W4241790184","https://openalex.org/W4251700126","https://openalex.org/W4285719527","https://openalex.org/W4300721217","https://openalex.org/W6659971213"],"related_works":["https://openalex.org/W2101609933","https://openalex.org/W2494694164","https://openalex.org/W4244118184","https://openalex.org/W2198668404","https://openalex.org/W2105256796","https://openalex.org/W2479868516","https://openalex.org/W1991677083","https://openalex.org/W1563185807","https://openalex.org/W2148597203","https://openalex.org/W2751940653"],"abstract_inverted_index":{"This":[0],"paper":[1,62],"presents":[2],"a":[3,34,50,64],"unified":[4,52],"approach":[5,37,48],"for":[6,54,58,90],"generalized":[7],"induction":[8],"variable":[9],"recognition":[10],"and":[11,26,78],"substitution,":[12],"pointer":[13,76],"analysis,":[14,22,25],"analysis":[15,31,56,68],"of":[16,42,67],"conditionally":[17],"updated":[18],"variables,":[19],"value":[20],"range":[21],"array":[23],"region":[24],"nonlinear":[27,79],"dependence":[28],"testing.":[29],"The":[30,45,61],"techniques":[32],"share":[33],"well-defined":[35],"uniform":[36,46],"based":[38],"on":[39],"the":[40],"chains":[41],"recurrences":[43],"algebra.":[44],"algebraic":[47],"provides":[49],"powerful":[51],"framework":[53],"developing":[55],"algorithms":[57,69],"restructuring":[59,92],"compilers.":[60,93],"introduces":[63],"new":[65],"set":[66],"that":[70],"accurately":[71],"handle":[72],"conditional":[73],"control":[74],"flow,":[75],"arithmetic,":[77],"symbolic":[80],"expressions":[81],"in":[82],"loops,":[83],"which":[84],"are":[85],"known":[86],"to":[87],"be":[88],"problematic":[89],"conventional":[91]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
