{"id":"https://openalex.org/W1517671027","doi":"https://doi.org/10.1007/978-3-642-15205-4_35","title":"Inductive-Inductive Definitions","display_name":"Inductive-Inductive Definitions","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1517671027","doi":"https://doi.org/10.1007/978-3-642-15205-4_35","mag":"1517671027"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-15205-4_35","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-15205-4_35","pdf_url":null,"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":null,"license_id":null,"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":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://cronfa.swan.ac.uk/Record/cronfa43083/Download/0043083-02082018162545.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065899567","display_name":"Fredrik Nordvall Forsberg","orcid":"https://orcid.org/0000-0001-6157-9288"},"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"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Fredrik Nordvall Forsberg","raw_affiliation_strings":["Swansea University,"],"affiliations":[{"raw_affiliation_string":"Swansea University,","institution_ids":["https://openalex.org/I39586589"]}]},{"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"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Anton Setzer","raw_affiliation_strings":["Swansea University,"],"affiliations":[{"raw_affiliation_string":"Swansea University,","institution_ids":["https://openalex.org/I39586589"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5065899567"],"corresponding_institution_ids":["https://openalex.org/I39586589"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.9778,"has_fulltext":false,"cited_by_count":44,"citation_normalized_percentile":{"value":0.8687433,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"454","last_page":"468"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9973999857902527,"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":0.9973999857902527,"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/T10317","display_name":"Advanced Database Systems and Queries","score":0.9937999844551086,"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"}},{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9682999849319458,"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/type-theory","display_name":"Type theory","score":0.7109400033950806},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6826412677764893},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5968382358551025},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5661007761955261},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.5505951046943665},{"id":"https://openalex.org/keywords/inductive-reasoning","display_name":"Inductive reasoning","score":0.5495201945304871},{"id":"https://openalex.org/keywords/novelty","display_name":"Novelty","score":0.5100546479225159},{"id":"https://openalex.org/keywords/universal-set","display_name":"Universal set","score":0.4344371557235718},{"id":"https://openalex.org/keywords/proof-theory","display_name":"Proof theory","score":0.4178585410118103},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3870602548122406},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3660154938697815},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36146819591522217},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.32396551966667175},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3105412721633911},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.259376585483551},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2075428068637848},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16804182529449463}],"concepts":[{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.7109400033950806},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6826412677764893},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5968382358551025},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5661007761955261},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.5505951046943665},{"id":"https://openalex.org/C21563000","wikidata":"https://www.wikidata.org/wiki/Q484511","display_name":"Inductive reasoning","level":2,"score":0.5495201945304871},{"id":"https://openalex.org/C2778738651","wikidata":"https://www.wikidata.org/wiki/Q16546687","display_name":"Novelty","level":2,"score":0.5100546479225159},{"id":"https://openalex.org/C102565666","wikidata":"https://www.wikidata.org/wiki/Q1378301","display_name":"Universal set","level":3,"score":0.4344371557235718},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.4178585410118103},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3870602548122406},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3660154938697815},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36146819591522217},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.32396551966667175},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3105412721633911},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.259376585483551},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2075428068637848},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16804182529449463},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C27206212","wikidata":"https://www.wikidata.org/wiki/Q34178","display_name":"Theology","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-642-15205-4_35","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-15205-4_35","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:cronfa.swan.ac.uk:cronfa43083","is_oa":true,"landing_page_url":"https://cronfa.swan.ac.uk/Record/cronfa43083","pdf_url":"https://cronfa.swan.ac.uk/Record/cronfa43083/Download/0043083-02082018162545.pdf","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":"E-Thesis"},{"id":"pmh:oai:cronfa.swan.ac.uk:cronfa5299","is_oa":false,"landing_page_url":"https://cronfa.swan.ac.uk/Record/cronfa5299","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":"Book Chapter"}],"best_oa_location":{"id":"pmh:oai:cronfa.swan.ac.uk:cronfa43083","is_oa":true,"landing_page_url":"https://cronfa.swan.ac.uk/Record/cronfa43083","pdf_url":"https://cronfa.swan.ac.uk/Record/cronfa43083/Download/0043083-02082018162545.pdf","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":"E-Thesis"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6441127033","display_name":null,"funder_award_id":"EP/G033374/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W1517671027.pdf"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W159354440","https://openalex.org/W569543113","https://openalex.org/W1494555245","https://openalex.org/W1527090010","https://openalex.org/W1539303361","https://openalex.org/W1546270920","https://openalex.org/W1548537769","https://openalex.org/W1579110349","https://openalex.org/W1586093680","https://openalex.org/W1751016442","https://openalex.org/W1981436950","https://openalex.org/W1997029640","https://openalex.org/W2058174669","https://openalex.org/W2088156780","https://openalex.org/W2101194052","https://openalex.org/W2122703262","https://openalex.org/W2132221175","https://openalex.org/W2147289514","https://openalex.org/W2216570679","https://openalex.org/W2756921402","https://openalex.org/W3099809655","https://openalex.org/W4213279211"],"related_works":["https://openalex.org/W2584131834","https://openalex.org/W3163830833","https://openalex.org/W169822098","https://openalex.org/W4320723398","https://openalex.org/W37159637","https://openalex.org/W2168281995","https://openalex.org/W1601239300","https://openalex.org/W137025782","https://openalex.org/W1562847240","https://openalex.org/W1647170492"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
