{"id":"https://openalex.org/W3036161949","doi":"https://doi.org/10.1017/s0956796820000155","title":"Leibniz equality is isomorphic to Martin-L\u00f6f identity, parametrically","display_name":"Leibniz equality is isomorphic to Martin-L\u00f6f identity, parametrically","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3036161949","doi":"https://doi.org/10.1017/s0956796820000155","mag":"3036161949"},"language":"en","primary_location":{"id":"doi:10.1017/s0956796820000155","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0956796820000155","pdf_url":null,"source":{"id":"https://openalex.org/S12266929","display_name":"Journal of Functional Programming","issn_l":"0956-7968","issn":["0956-7968","1469-7653"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Functional Programming","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.research.ed.ac.uk/en/publications/5ef2194f-c0c4-4c7d-a217-fbe3151cc3d5","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008534457","display_name":"Andreas Abel","orcid":"https://orcid.org/0000-0003-0420-4492"},"institutions":[{"id":"https://openalex.org/I881427289","display_name":"University of Gothenburg","ror":"https://ror.org/01tm6cn81","country_code":"SE","type":"education","lineage":["https://openalex.org/I881427289"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"ANDREAS ABEL","raw_affiliation_strings":["Gothenburg University (e-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Gothenburg University (e-mail:","institution_ids":["https://openalex.org/I881427289"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065497509","display_name":"Jesper Cockx","orcid":"https://orcid.org/0000-0003-3862-4073"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"JESPER COCKX","raw_affiliation_strings":["TU Delft, Netherlands (e-mail:"],"raw_orcid":"https://orcid.org/0000-0003-3862-4073","affiliations":[{"raw_affiliation_string":"TU Delft, Netherlands (e-mail:","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011654888","display_name":"Dominique Devriese","orcid":"https://orcid.org/0000-0002-3862-6856"},"institutions":[{"id":"https://openalex.org/I13469542","display_name":"Vrije Universiteit Brussel","ror":"https://ror.org/006e5kg04","country_code":"BE","type":"education","lineage":["https://openalex.org/I13469542"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"DOMINIQUE DEVRIESE","raw_affiliation_strings":["Vrije Universiteit Brussel, Belgium (e-mail:"],"raw_orcid":"https://orcid.org/0000-0002-3862-6856","affiliations":[{"raw_affiliation_string":"Vrije Universiteit Brussel, Belgium (e-mail:","institution_ids":["https://openalex.org/I13469542"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030831735","display_name":"Amin Timany","orcid":"https://orcid.org/0000-0002-2237-851X"},"institutions":[{"id":"https://openalex.org/I204337017","display_name":"Aarhus University","ror":"https://ror.org/01aj84f44","country_code":"DK","type":"education","lineage":["https://openalex.org/I204337017"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"AMIN TIMANY","raw_affiliation_strings":["Aarhus University, Denmark (e-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aarhus University, Denmark (e-mail:","institution_ids":["https://openalex.org/I204337017"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018878077","display_name":"Philip Wadler","orcid":"https://orcid.org/0000-0001-7619-6378"},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"PHILIP WADLER","raw_affiliation_strings":["University of Edinburgh (e-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Edinburgh (e-mail:","institution_ids":["https://openalex.org/I98677209"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5008534457"],"corresponding_institution_ids":["https://openalex.org/I881427289"],"apc_list":null,"apc_paid":null,"fwci":0.408,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.69235394,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"30","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9923999905586243,"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"}},"topics":[{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9923999905586243,"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/T12170","display_name":"History and Theory of Mathematics","score":0.9821000099182129,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9700999855995178,"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/computer-science","display_name":"Computer science","score":0.7792415618896484},{"id":"https://openalex.org/keywords/identity","display_name":"Identity (music)","score":0.7033966779708862},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.4062577486038208},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38333263993263245},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3342961072921753},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.19779303669929504},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17427435517311096},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16498851776123047},{"id":"https://openalex.org/keywords/aesthetics","display_name":"Aesthetics","score":0.09037083387374878}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7792415618896484},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.7033966779708862},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4062577486038208},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38333263993263245},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3342961072921753},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.19779303669929504},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17427435517311096},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16498851776123047},{"id":"https://openalex.org/C107038049","wikidata":"https://www.wikidata.org/wiki/Q35986","display_name":"Aesthetics","level":1,"score":0.09037083387374878},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":9,"locations":[{"id":"doi:10.1017/s0956796820000155","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0956796820000155","pdf_url":null,"source":{"id":"https://openalex.org/S12266929","display_name":"Journal of Functional Programming","issn_l":"0956-7968","issn":["0956-7968","1469-7653"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Functional Programming","raw_type":"journal-article"},{"id":"pmh:oai:pure.ed.ac.uk:openaire/5ef2194f-c0c4-4c7d-a217-fbe3151cc3d5","is_oa":true,"landing_page_url":"https://www.research.ed.ac.uk/en/publications/5ef2194f-c0c4-4c7d-a217-fbe3151cc3d5","pdf_url":null,"source":{"id":"https://openalex.org/S4406922455","display_name":"Edinburgh Research Explorer","issn_l":null,"issn":null,"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Abel, A, Cockx, J, Devriese, D, Timany, A & Wadler, P 2020, 'Leibniz equality is isomorphic to Martin-L\u00f6f identity, parametrically', Journal of Functional Programming, vol. 30, e17. https://doi.org/10.1017/S0956796820000155","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:vubissmart:VUBISSMART:2000:130692","is_oa":false,"landing_page_url":"https://biblio.vub.ac.be/vubir/leibniz-equality-is-isomorphic-to-martinl\u00f6f-identity-parametrically(231845bf-8797-4233-8eb3-32be76ce0966).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306402573","display_name":"VUBIR (Vrije Universiteit Brussel)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I13469542","host_organization_name":"Vrije Universiteit Brussel","host_organization_lineage":["https://openalex.org/I13469542"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"publishedVersion"},{"id":"pmh:oai:vubissmart:VUBISSMART:2000:130692","is_oa":false,"landing_page_url":"https://doi.org/10.1017/S0956796820000155","pdf_url":null,"source":{"id":"https://openalex.org/S4306402573","display_name":"VUBIR (Vrije Universiteit Brussel)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I13469542","host_organization_name":"Vrije Universiteit Brussel","host_organization_lineage":["https://openalex.org/I13469542"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"publishedVersion"},{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/659261","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/123456789/659261","pdf_url":"https://lirias.kuleuven.be/retrieve/5cc53bd0-b2ce-419c-bd67-f9e59f9a63c7","source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Journal Of Functional Programming, vol. 30, Art.No. e17, (1-14)","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:pure.ed.ac.uk:publications/5ef2194f-c0c4-4c7d-a217-fbe3151cc3d5","is_oa":true,"landing_page_url":"https://hdl.handle.net/20.500.11820/5ef2194f-c0c4-4c7d-a217-fbe3151cc3d5","pdf_url":"https://www.cambridge.org/core/journals/journal-of-functional-programming/article/leibniz-equality-is-isomorphic-to-martinlof-identity-parametrically/50D76A9C314AB24E7CD46DA4A0A766EB","source":{"id":"https://openalex.org/S4406922455","display_name":"Edinburgh Research Explorer","issn_l":null,"issn":null,"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:pure.atira.dk:publications/d5cdf0f8-98aa-4352-bb8e-1b7c56809cdb","is_oa":false,"landing_page_url":"https://pure.au.dk/portal/en/publications/d5cdf0f8-98aa-4352-bb8e-1b7c56809cdb","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Abel, A, Cockx, J, Devriese, D, Timany, A & Wadler, P 2020, 'Leibniz equality is isomorphic to Martin-L\u00f6f identity, parametrically', Journal of Functional Programming, vol. 30, e17. https://doi.org/10.1017/S0956796820000155","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:tudelft.nl:uuid:19f57d3a-cdb8-4955-af9a-e65be95e64bf","is_oa":false,"landing_page_url":"http://resolver.tudelft.nl/uuid:19f57d3a-cdb8-4955-af9a-e65be95e64bf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400906","display_name":"Research Repository (Delft University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I98358874","host_organization_name":"Delft University of Technology","host_organization_lineage":["https://openalex.org/I98358874"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"journal article"},{"id":"pmh:oai:vubissmart:VUBISSMART:2000:204420","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402573","display_name":"VUBIR (Vrije Universiteit Brussel)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I13469542","host_organization_name":"Vrije Universiteit Brussel","host_organization_lineage":["https://openalex.org/I13469542"],"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":"article"}],"best_oa_location":{"id":"pmh:oai:pure.ed.ac.uk:openaire/5ef2194f-c0c4-4c7d-a217-fbe3151cc3d5","is_oa":true,"landing_page_url":"https://www.research.ed.ac.uk/en/publications/5ef2194f-c0c4-4c7d-a217-fbe3151cc3d5","pdf_url":null,"source":{"id":"https://openalex.org/S4406922455","display_name":"Edinburgh Research Explorer","issn_l":null,"issn":null,"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Abel, A, Cockx, J, Devriese, D, Timany, A & Wadler, P 2020, 'Leibniz equality is isomorphic to Martin-L\u00f6f identity, parametrically', Journal of Functional Programming, vol. 30, e17. https://doi.org/10.1017/S0956796820000155","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education","score":0.699999988079071}],"awards":[{"id":"https://openalex.org/G1798638720","display_name":"From Data Types to Session Types---A Basis for Concurrency and Distribution","funder_award_id":"EP/K034413/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4048376791","display_name":null,"funder_award_id":"621-2014-4864","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"},{"id":"https://openalex.org/G7918631928","display_name":null,"funder_award_id":"EP/K034413/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320321730","display_name":"Fonds Wetenschappelijk Onderzoek","ror":"https://ror.org/03qtxy027"},{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"},{"id":"https://openalex.org/F4320327336","display_name":"Vlaamse regering","ror":null},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W63386868","https://openalex.org/W326743114","https://openalex.org/W1664326696","https://openalex.org/W1852211073","https://openalex.org/W2019626268","https://openalex.org/W2042204873","https://openalex.org/W2057292961","https://openalex.org/W2095835314","https://openalex.org/W2098691999","https://openalex.org/W2115617817","https://openalex.org/W2133629640","https://openalex.org/W2148275052","https://openalex.org/W2151520617","https://openalex.org/W2158830522","https://openalex.org/W2513071761","https://openalex.org/W2550513301","https://openalex.org/W2562932989","https://openalex.org/W2731470241","https://openalex.org/W2798299123","https://openalex.org/W2908330830"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052"],"abstract_inverted_index":{"Abstract":[0],"Consider":[1],"two":[2,42,71,151],"widely":[3,56,132],"used":[4,57],"definitions":[5,72],"of":[6,9,20,24,29,80,85,104,111,124,128,160,175],"equality.":[7],"That":[8],"Leibniz:":[10],"one":[11,34,84,137,140,143],"value":[12,35],"equals":[13],"another":[14,37],"if":[15,40,136],"any":[16,78],"predicate":[17],"that":[18,28,69,135,149,180],"holds":[19,23,181],"the":[21,25,31,41,53,70,97,100,105,112,129,146,150,158],"first":[22],"second.":[26],"And":[27],"Martin-L\u00f6f:":[30],"type":[32,113,194],"identifying":[33],"with":[36],"is":[38,55,99,131,171,201],"occupied":[39],"values":[43,110],"are":[44,73,191],"identical.":[45],"The":[46,126],"former":[47],"dates":[48],"back":[49],"several":[50],"centuries,":[51],"while":[52],"latter":[54],"in":[58,157],"proof":[59,79],"systems":[60],"such":[61],"as":[62],"Agda":[63,204],"and":[64,88,92,121,162,185],"Coq.":[65],"Here":[66],"we":[67,75,166],"show":[68],"isomorphic:":[74],"can":[76,138,144],"convert":[77],"Leibniz":[81,116],"equality":[82,117,141],"to":[83,115],"Martin-L\u00f6f":[86],"identity":[87],"vice":[89],"versa":[90],",":[91],"each":[93],"conversion":[94],"followed":[95],"by":[96],"other":[98],"identity.":[101],"One":[102],"direction":[103],"isomorphism":[106,155],"depends":[107],"crucially":[108],"on":[109],"corresponding":[114],"satisfying":[118],"functional":[119,163],"extensionality":[120,164],"Reynolds\u2019":[122],"notion":[123],"parametricity.":[125],"existence":[127],"conversions":[130,152],"known":[133],"(meaning":[134],"prove":[139,145],"then":[142],"other),":[147],"but":[148],"form":[153],"an":[154],"(internally)":[156],"presence":[159],"parametricity":[161],"is,":[165],"believe,":[167],"new.":[168],"Our":[169,189,199],"result":[170],"a":[172,176,202],"special":[173],"case":[174],"more":[177],"general":[178],"relation":[179],"between":[182],"inductive":[183],"families":[184],"their":[186],"Church":[187],"encodings.":[188],"proofs":[190],"given":[192],"inside":[193],"theory,":[195],"rather":[196],"than":[197],"meta-theoretically.":[198],"paper":[200],"literate":[203],"script.":[205]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-25T08:39:21.599409","created_date":"2025-10-10T00:00:00"}
