{"id":"https://openalex.org/W2088156780","doi":"https://doi.org/10.1016/s0168-0072(02)00096-9","title":"Induction\u2013recursion and initial algebras","display_name":"Induction\u2013recursion and initial algebras","publication_year":2003,"publication_date":"2003-09-03","ids":{"openalex":"https://openalex.org/W2088156780","doi":"https://doi.org/10.1016/s0168-0072(02)00096-9","mag":"2088156780"},"language":"en","primary_location":{"id":"doi:10.1016/s0168-0072(02)00096-9","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0168-0072(02)00096-9","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0168007202000969/pdf","source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/S0168007202000969/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053761104","display_name":"Peter Dybjer","orcid":"https://orcid.org/0000-0003-4043-5204"},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Peter Dybjer","raw_affiliation_strings":["Department of Computing Science, Chalmers University of Technology, SE-412 96 G\u00f6teborg, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computing Science, Chalmers University of Technology, SE-412 96 G\u00f6teborg, Sweden","institution_ids":["https://openalex.org/I66862912"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060337321","display_name":"Anton Setzer","orcid":"https://orcid.org/0000-0001-5322-6060"},"institutions":[{"id":"https://openalex.org/I39586589","display_name":"Swansea University","ror":"https://ror.org/053fq8t95","country_code":"GB","type":"education","lineage":["https://openalex.org/I39586589"]},{"id":"https://openalex.org/I97429440","display_name":"University of Wales","ror":"https://ror.org/01se4f844","country_code":"GB","type":"education","lineage":["https://openalex.org/I97429440"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Anton Setzer","raw_affiliation_strings":["Department of Computer Science, University of Wales Swansea, Singleton Park, Swansea SA2 8PP, UK","Department of Computer Science, University of Wales Swansea, Singleton Park, Swansea SA2 8PP UK#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Wales Swansea, Singleton Park, Swansea SA2 8PP, UK","institution_ids":["https://openalex.org/I39586589","https://openalex.org/I97429440"]},{"raw_affiliation_string":"Department of Computer Science, University of Wales Swansea, Singleton Park, Swansea SA2 8PP UK#TAB#","institution_ids":["https://openalex.org/I39586589"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5053761104"],"corresponding_institution_ids":["https://openalex.org/I66862912"],"apc_list":{"value":3520,"currency":"USD","value_usd":3520},"apc_paid":null,"fwci":5.2207,"has_fulltext":true,"cited_by_count":63,"citation_normalized_percentile":{"value":0.95356327,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"124","issue":"1-3","first_page":"1","last_page":"47"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9983999729156494,"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":0.9983999729156494,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9983000159263611,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9850999712944031,"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/recursion","display_name":"Recursion (computer science)","score":0.7801917791366577},{"id":"https://openalex.org/keywords/type-theory","display_name":"Type theory","score":0.7592456340789795},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6293895840644836},{"id":"https://openalex.org/keywords/universe","display_name":"Universe","score":0.586194634437561},{"id":"https://openalex.org/keywords/mathematical-induction","display_name":"Mathematical induction","score":0.5727241635322571},{"id":"https://openalex.org/keywords/double-recursion","display_name":"Double recursion","score":0.5616076588630676},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.5477021932601929},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.480758398771286},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.47631534934043884},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4412245750427246},{"id":"https://openalex.org/keywords/logical-equivalence","display_name":"Logical equivalence","score":0.43361979722976685},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.3996025025844574},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32223308086395264},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.249567449092865},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14149731397628784}],"concepts":[{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.7801917791366577},{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.7592456340789795},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6293895840644836},{"id":"https://openalex.org/C84999194","wikidata":"https://www.wikidata.org/wiki/Q1","display_name":"Universe","level":2,"score":0.586194634437561},{"id":"https://openalex.org/C206743973","wikidata":"https://www.wikidata.org/wiki/Q178377","display_name":"Mathematical induction","level":2,"score":0.5727241635322571},{"id":"https://openalex.org/C139503435","wikidata":"https://www.wikidata.org/wiki/Q5300083","display_name":"Double recursion","level":3,"score":0.5616076588630676},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.5477021932601929},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.480758398771286},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.47631534934043884},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4412245750427246},{"id":"https://openalex.org/C70846408","wikidata":"https://www.wikidata.org/wiki/Q220433","display_name":"Logical equivalence","level":3,"score":0.43361979722976685},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.3996025025844574},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32223308086395264},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.249567449092865},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14149731397628784},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.0}],"mesh":[],"locations_count":10,"locations":[{"id":"doi:10.1016/s0168-0072(02)00096-9","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0168-0072(02)00096-9","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0168007202000969/pdf","source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied Logic","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.122.1466","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.122.1466","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.chalmers.se/~peterd/papers/InductionRecursionInitialAlgebras.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.215.1790","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.215.1790","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.219.2025","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.219.2025","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.swan.ac.uk/~csetzer/articles/inductionrecursion.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.35.2703","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.35.2703","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.uu.se/~setzer/articles/indrekjour.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.36.347","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.36.347","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.cs.chalmers.se/pub/clics/peterd/Induction_Recursion.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.4.9552","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.4.9552","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.swan.ac.uk/~csetzer/articles/inductionrecursion.ps","raw_type":"text"},{"id":"pmh:oai:cronfa.swan.ac.uk:cronfa1731","is_oa":false,"landing_page_url":"https://cronfa.swan.ac.uk/Record/cronfa1731/Download/0001731-18052015005417.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306401612","display_name":"Cronfa (Swansea University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39586589","host_organization_name":"Swansea University","host_organization_lineage":["https://openalex.org/I39586589"],"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:publications.lib.chalmers.se:17636","is_oa":false,"landing_page_url":"http://publications.lib.chalmers.se/publication/17636-induction-recursion-and-initial-algebras","pdf_url":null,"source":{"id":"https://openalex.org/S4377196470","display_name":"Chalmers Publication Library (Chalmers University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66862912","host_organization_name":"Chalmers University of Technology","host_organization_lineage":["https://openalex.org/I66862912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text.Article.Journal.PeerReviewed"},{"id":"pmh:oai:research.chalmers.se:17636","is_oa":false,"landing_page_url":"https://research.chalmers.se/en/publication/17636","pdf_url":null,"source":{"id":"https://openalex.org/S4306402469","display_name":"Chalmers Research (Chalmers University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66862912","host_organization_name":"Chalmers University of Technology","host_organization_lineage":["https://openalex.org/I66862912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null}],"best_oa_location":{"id":"doi:10.1016/s0168-0072(02)00096-9","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0168-0072(02)00096-9","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0168007202000969/pdf","source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied Logic","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2088156780.pdf","grobid_xml":"https://content.openalex.org/works/W2088156780.grobid-xml"},"referenced_works_count":45,"referenced_works":["https://openalex.org/W123923308","https://openalex.org/W137025782","https://openalex.org/W159354440","https://openalex.org/W174270456","https://openalex.org/W569543113","https://openalex.org/W1494555245","https://openalex.org/W1503362807","https://openalex.org/W1512931629","https://openalex.org/W1533094521","https://openalex.org/W1539303361","https://openalex.org/W1581378641","https://openalex.org/W1593841126","https://openalex.org/W1809068920","https://openalex.org/W1949275316","https://openalex.org/W1968916436","https://openalex.org/W1998220594","https://openalex.org/W2006941708","https://openalex.org/W2022837260","https://openalex.org/W2029926935","https://openalex.org/W2049362364","https://openalex.org/W2058174669","https://openalex.org/W2062260615","https://openalex.org/W2064023341","https://openalex.org/W2074842064","https://openalex.org/W2078334802","https://openalex.org/W2121311099","https://openalex.org/W2124798629","https://openalex.org/W2151520617","https://openalex.org/W2171781375","https://openalex.org/W2324455841","https://openalex.org/W2326057307","https://openalex.org/W2476624985","https://openalex.org/W2506303632","https://openalex.org/W2756921402","https://openalex.org/W2911379300","https://openalex.org/W3104826616","https://openalex.org/W4213279211","https://openalex.org/W4213373854","https://openalex.org/W6604993134","https://openalex.org/W6606505114","https://openalex.org/W6629906706","https://openalex.org/W6632170738","https://openalex.org/W6632232259","https://openalex.org/W6635578068","https://openalex.org/W6638419616"],"related_works":["https://openalex.org/W4372046861","https://openalex.org/W4241520140","https://openalex.org/W148740149","https://openalex.org/W2786712325","https://openalex.org/W2125274893","https://openalex.org/W4229684865","https://openalex.org/W4244727402","https://openalex.org/W2083644882","https://openalex.org/W1538267314","https://openalex.org/W3126373142"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":4}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
