{"id":"https://openalex.org/W3037122247","doi":"https://doi.org/10.1007/978-3-319-66167-4_11","title":"Subtropical Satisfiability","display_name":"Subtropical Satisfiability","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W3037122247","doi":"https://doi.org/10.1007/978-3-319-66167-4_11","mag":"3037122247"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-66167-4_11","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-319-66167-4_11","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-319-66167-4_11.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-319-66167-4_11.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060799584","display_name":"Pascal Fontaine","orcid":"https://orcid.org/0000-0003-4700-6031"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pascal Fontaine","raw_affiliation_strings":["University of Lorraine, CNRS, Inria, and LORIA, Nancy, France"],"raw_orcid":"https://orcid.org/0000-0003-4700-6031","affiliations":[{"raw_affiliation_string":"University of Lorraine, CNRS, Inria, and LORIA, Nancy, France","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I4210121838","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011902302","display_name":"Mizuhito Ogawa","orcid":"https://orcid.org/0000-0002-8050-7228"},"institutions":[{"id":"https://openalex.org/I177738480","display_name":"Japan Advanced Institute of Science and Technology","ror":"https://ror.org/03frj4r98","country_code":"JP","type":"education","lineage":["https://openalex.org/I177738480"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Mizuhito Ogawa","raw_affiliation_strings":["Japan Advanced Institute of Science and Technology, Nomi, Japan"],"raw_orcid":"https://orcid.org/0000-0002-8050-7228","affiliations":[{"raw_affiliation_string":"Japan Advanced Institute of Science and Technology, Nomi, Japan","institution_ids":["https://openalex.org/I177738480"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039342399","display_name":"Thomas Sturm","orcid":"https://orcid.org/0000-0002-8088-340X"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]},{"id":"https://openalex.org/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]},{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE","FR"],"is_corresponding":false,"raw_author_name":"Thomas Sturm","raw_affiliation_strings":["MPI Informatics and Saarland University, Saarbr\u00fccken, Germany","University of Lorraine, CNRS, Inria, and LORIA, Nancy, France"],"raw_orcid":"https://orcid.org/0000-0002-8088-340X","affiliations":[{"raw_affiliation_string":"MPI Informatics and Saarland University, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I4210109712","https://openalex.org/I91712215"]},{"raw_affiliation_string":"University of Lorraine, CNRS, Inria, and LORIA, Nancy, France","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I4210121838","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013155932","display_name":"Vu Xuan Tung","orcid":"https://orcid.org/0000-0002-2239-6574"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I177738480","display_name":"Japan Advanced Institute of Science and Technology","ror":"https://ror.org/03frj4r98","country_code":"JP","type":"education","lineage":["https://openalex.org/I177738480"]},{"id":"https://openalex.org/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR","JP"],"is_corresponding":false,"raw_author_name":"Xuan Tung Vu","raw_affiliation_strings":["Japan Advanced Institute of Science and Technology, Nomi, Japan","University of Lorraine, CNRS, Inria, and LORIA, Nancy, France"],"raw_orcid":"https://orcid.org/0000-0002-2239-6574","affiliations":[{"raw_affiliation_string":"Japan Advanced Institute of Science and Technology, Nomi, Japan","institution_ids":["https://openalex.org/I177738480"]},{"raw_affiliation_string":"University of Lorraine, CNRS, Inria, and LORIA, Nancy, France","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I4210121838","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":4.7777,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.95744681,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"189","last_page":"206"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9997000098228455,"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":0.9997000098228455,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9994999766349792,"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":0.9977999925613403,"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/computer-science","display_name":"Computer science","score":0.740433931350708},{"id":"https://openalex.org/keywords/satisfiability-modulo-theories","display_name":"Satisfiability modulo theories","score":0.6899082064628601},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.5304011106491089},{"id":"https://openalex.org/keywords/quantifier-elimination","display_name":"Quantifier elimination","score":0.5045734643936157},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4391910433769226},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.43130019307136536},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.42870351672172546},{"id":"https://openalex.org/keywords/abstraction","display_name":"Abstraction","score":0.4228886365890503},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.40201103687286377},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.25817549228668213},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23688790202140808}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.740433931350708},{"id":"https://openalex.org/C164155591","wikidata":"https://www.wikidata.org/wiki/Q2067766","display_name":"Satisfiability modulo theories","level":2,"score":0.6899082064628601},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.5304011106491089},{"id":"https://openalex.org/C32278780","wikidata":"https://www.wikidata.org/wiki/Q1849020","display_name":"Quantifier elimination","level":2,"score":0.5045734643936157},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4391910433769226},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.43130019307136536},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.42870351672172546},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.4228886365890503},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.40201103687286377},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.25817549228668213},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23688790202140808},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/978-3-319-66167-4_11","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-319-66167-4_11","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-319-66167-4_11.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:arXiv.org:1706.09236","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1706.09236","pdf_url":"https://arxiv.org/pdf/1706.09236","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:escidoc.org:escidoc:2461557","is_oa":true,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-002D-91C2-E","pdf_url":null,"source":{"id":"https://openalex.org/S7407052962","display_name":"Max Planck Digital Library","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/workingPaper"},{"id":"pmh:oai:escidoc.org:escidoc:2488512","is_oa":true,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-002E-07A7-8","pdf_url":null,"source":{"id":"https://openalex.org/S7407052962","display_name":"Max Planck Digital Library","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:pure.mpg.de:item_2461557","is_oa":true,"landing_page_url":"https://hdl.handle.net/11858/00-001M-0000-002D-91C2-E","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/workingPaper"}],"best_oa_location":{"id":"doi:10.1007/978-3-319-66167-4_11","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-319-66167-4_11","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-319-66167-4_11.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[{"score":0.7699999809265137,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3037122247.pdf","grobid_xml":"https://content.openalex.org/works/W3037122247.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1257820177","https://openalex.org/W1481397690","https://openalex.org/W1484559376","https://openalex.org/W1489527380","https://openalex.org/W1490012302","https://openalex.org/W1493060511","https://openalex.org/W1511963917","https://openalex.org/W1522613702","https://openalex.org/W1528172624","https://openalex.org/W1552495765","https://openalex.org/W1609596465","https://openalex.org/W1775468415","https://openalex.org/W1963547452","https://openalex.org/W1982469375","https://openalex.org/W2008288068","https://openalex.org/W2033040247","https://openalex.org/W2073787328","https://openalex.org/W2092007705","https://openalex.org/W2106974669","https://openalex.org/W2125967324","https://openalex.org/W2127470768","https://openalex.org/W2152690351","https://openalex.org/W2163850966","https://openalex.org/W2166280160","https://openalex.org/W2496780659","https://openalex.org/W2601986965","https://openalex.org/W2611147814","https://openalex.org/W2652810043","https://openalex.org/W2964309890","https://openalex.org/W3104841382","https://openalex.org/W4301216918","https://openalex.org/W4301808069"],"related_works":["https://openalex.org/W2400855043","https://openalex.org/W2578463151","https://openalex.org/W2275420537","https://openalex.org/W2942868935","https://openalex.org/W1483783534","https://openalex.org/W4379142300","https://openalex.org/W2600774173","https://openalex.org/W4386723279","https://openalex.org/W2235115558","https://openalex.org/W3136261533"],"abstract_inverted_index":{"Quantifier-free":[0],"nonlinear":[1],"arithmetic":[2],"(QF_NRA)":[3],"appears":[4],"in":[5,20,51,117],"many":[6],"applications":[7],"of":[8,54,61,73,82,86,90,97,110,169],"satisfiability":[9],"modulo":[10],"theories":[11],"solving":[12],"(SMT).":[13],"Accordingly,":[14],"efficient":[15,33],"reasoning":[16],"for":[17,57,138],"corresponding":[18,112],"constraints":[19],"SMT":[21,119],"theory":[22],"solvers":[23],"is":[24,43,151],"highly":[25],"relevant.":[26],"We":[27],"propose":[28],"a":[29,153,161,167],"new":[30],"incomplete":[31],"but":[32,160],"and":[34],"terminating":[35],"method":[36,42,48,68,93,150],"to":[37,120,127,135,164],"identify":[38],"satisfiable":[39],"instances.":[40],"The":[41,92],"derived":[44],"from":[45],"the":[46,52,83,87,103,108,111,125,139,145],"subtropical":[47],"recently":[49],"introduced":[50],"context":[53],"symbolic":[55],"computation":[56],"computing":[58],"real":[59],"zeros":[60],"single":[62],"very":[63],"large":[64],"multivariate":[65],"polynomials.":[66],"Our":[67],"takes":[69,94],"as":[70,99],"input":[71],"conjunctions":[72],"strict":[74],"polynomial":[75],"inequalities,":[76],"which":[77],"represent":[78],"more":[79],"than":[80],"40%":[81],"QF_NRA":[84],"section":[85],"SMT-LIB":[88,146],"library":[89],"benchmarks.":[91],"an":[95],"abstraction":[96],"polynomials":[98],"exponent":[100],"vectors":[101],"over":[102,124],"natural":[104],"numbers":[105],"tagged":[106],"with":[107],"signs":[109],"coefficients.":[113],"It":[114],"then":[115],"uses,":[116],"turn,":[118],"solve":[121],"linear":[122],"problems":[123],"reals":[126],"heuristically":[128],"find":[129],"suitable":[130],"points":[131,137],"that":[132,148],"translate":[133],"back":[134],"satisfying":[136],"original":[140],"problem.":[141],"Systematic":[142],"experiments":[143],"on":[144],"demonstrate":[147],"our":[149],"not":[152],"sufficiently":[154],"strong":[155],"decision":[156],"procedure":[157],"by":[158],"itself":[159],"valuable":[162],"heuristic":[163],"use":[165],"within":[166],"portfolio":[168],"techniques.":[170]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":6}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}