{"id":"https://openalex.org/W2913577730","doi":"https://doi.org/10.1093/jigpal/jzy076","title":"The computational content of atomic polymorphism","display_name":"The computational content of atomic polymorphism","publication_year":2018,"publication_date":"2018-11-13","ids":{"openalex":"https://openalex.org/W2913577730","doi":"https://doi.org/10.1093/jigpal/jzy076","mag":"2913577730"},"language":"en","primary_location":{"id":"doi:10.1093/jigpal/jzy076","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzy076","pdf_url":null,"source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of the IGPL","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10400.2/9415","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012426547","display_name":"Gilda Ferreira","orcid":"https://orcid.org/0000-0003-1447-9764"},"institutions":[{"id":"https://openalex.org/I201025148","display_name":"Universidade Aberta","ror":"https://ror.org/02rv3w387","country_code":"PT","type":"education","lineage":["https://openalex.org/I201025148"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Gilda Ferreira","raw_affiliation_strings":["Universidade Aberta, Rua Braamcamp, 90, Lisboa, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidade Aberta, Rua Braamcamp, 90, Lisboa, Portugal","institution_ids":["https://openalex.org/I201025148"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016342119","display_name":"Vasco T. Vasconcelos","orcid":"https://orcid.org/0000-0002-9539-8861"},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Vasco T Vasconcelos","raw_affiliation_strings":["LaSIGE, Departamento de Inform\u00e1tica, Faculdade de Ci\u00eancias da Universidade de Lisboa Campo Grande, Ed. C6, Lisboa, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LaSIGE, Departamento de Inform\u00e1tica, Faculdade de Ci\u00eancias da Universidade de Lisboa Campo Grande, Ed. C6, Lisboa, Portugal","institution_ids":["https://openalex.org/I141596103"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5012426547"],"corresponding_institution_ids":["https://openalex.org/I201025148"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.3384,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.70882964,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"27","issue":"5","first_page":"625","last_page":"638"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9851999878883362,"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":0.9851999878883362,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.957099974155426,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9560999870300293,"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/lambda","display_name":"Lambda","score":0.8496059775352478},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.5715172290802002},{"id":"https://openalex.org/keywords/polymorphism","display_name":"Polymorphism (computer science)","score":0.4979896545410156},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44477295875549316},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.41294577717781067},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.33269670605659485},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3279293179512024},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.32183143496513367},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3212950825691223},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1450413167476654},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.09491899609565735},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07590022683143616}],"concepts":[{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.8496059775352478},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5715172290802002},{"id":"https://openalex.org/C149737253","wikidata":"https://www.wikidata.org/wiki/Q3240252","display_name":"Polymorphism (computer science)","level":4,"score":0.4979896545410156},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44477295875549316},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.41294577717781067},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.33269670605659485},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3279293179512024},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32183143496513367},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3212950825691223},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1450413167476654},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.09491899609565735},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07590022683143616},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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/C135763542","wikidata":"https://www.wikidata.org/wiki/Q106016","display_name":"Genotype","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1093/jigpal/jzy076","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzy076","pdf_url":null,"source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of the IGPL","raw_type":"journal-article"},{"id":"pmh:oai:repositorioaberto.uab.pt:10400.2/9415","is_oa":true,"landing_page_url":"http://hdl.handle.net/10400.2/9415","pdf_url":null,"source":{"id":"https://openalex.org/S4306402256","display_name":"The Reposit\u00f3rio Aberto (Universidade Aberta)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I201025148","host_organization_name":"Universidade Aberta","host_organization_lineage":["https://openalex.org/I201025148"],"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":"journal article"}],"best_oa_location":{"id":"pmh:oai:repositorioaberto.uab.pt:10400.2/9415","is_oa":true,"landing_page_url":"http://hdl.handle.net/10400.2/9415","pdf_url":null,"source":{"id":"https://openalex.org/S4306402256","display_name":"The Reposit\u00f3rio Aberto (Universidade Aberta)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I201025148","host_organization_name":"Universidade Aberta","host_organization_lineage":["https://openalex.org/I201025148"],"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":"journal article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6128949145","display_name":null,"funder_award_id":"UID/CEC/00408/2013","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G7573641107","display_name":null,"funder_award_id":"UID/MAT/04561/2013","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G7663500522","display_name":null,"funder_award_id":"SFRH/BPD/93278/2013","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"}],"funders":[{"id":"https://openalex.org/F4320310001","display_name":"Centro de Matem\u00e1tica e Aplica\u00e7\u00f5es da Universidade da Beira Interior","ror":"https://ror.org/03nf36p02"},{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W159715351","https://openalex.org/W1797773564","https://openalex.org/W1988983596","https://openalex.org/W1990664555","https://openalex.org/W2026139892","https://openalex.org/W2034083013","https://openalex.org/W2041616904","https://openalex.org/W2095405219","https://openalex.org/W2334137773","https://openalex.org/W2469665705","https://openalex.org/W2565706384","https://openalex.org/W2617835031","https://openalex.org/W4214703049","https://openalex.org/W4249736722","https://openalex.org/W4299802278","https://openalex.org/W6646292565","https://openalex.org/W6750138336"],"related_works":["https://openalex.org/W2808944898","https://openalex.org/W3196207352","https://openalex.org/W2951724202","https://openalex.org/W3084261076","https://openalex.org/W4387820098","https://openalex.org/W1996614773","https://openalex.org/W2576399385","https://openalex.org/W2963408011","https://openalex.org/W4236324517","https://openalex.org/W2184046398"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"show":[2],"that":[3],"the":[4,9,16,22,29,38,47,61,69,75],"number-theoretic":[5],"functions":[6],"definable":[7],"in":[8,33,37,56,68],"atomic":[10,62],"polymorphic":[11,63,70],"system":[12],"(${\\mathbf{F}}_{\\mathbf{at}}$)":[13],"are":[14,25],"exactly":[15],"extended":[17],"polynomials.":[18],"Two":[19],"proofs":[20],"of":[21],"above":[23],"result":[24],"presented:":[26],"one,":[27],"reducing":[28],"functions\u2019":[30],"definability":[31,36,55],"problem":[32],"${\\mathbf{F}}_{\\mathbf{at}}$":[34],"to":[35,60],"simply":[39,76],"typed":[40,77],"lambda":[41,78],"calculus":[42],"($\\lambda":[43],"^{\\rightarrow":[44,58],"}$)":[45],"and":[46],"other,":[48],"directly":[49],"adapting":[50],"Helmut":[51],"Schwichtenberg\u2019s":[52],"strategy":[53],"for":[54],"$\\lambda":[57],"}$":[59],"setting.":[64],"The":[65],"uniformity":[66],"granted":[67],"system,":[71],"when":[72],"compared":[73],"with":[74],"calculus,":[79],"is":[80],"emphasized.":[81]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
