{"id":"https://openalex.org/W2395623455","doi":"https://doi.org/10.1007/978-3-642-38946-7_13","title":"Small Induction Recursion","display_name":"Small Induction Recursion","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2395623455","doi":"https://doi.org/10.1007/978-3-642-38946-7_13","mag":"2395623455"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-38946-7_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-38946-7_13","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068566330","display_name":"Peter Hancock","orcid":null},"institutions":[{"id":"https://openalex.org/I181647926","display_name":"University of Strathclyde","ror":"https://ror.org/00n3w3b69","country_code":"GB","type":"education","lineage":["https://openalex.org/I181647926"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Peter Hancock","raw_affiliation_strings":["University of Strathclyde, UK"],"affiliations":[{"raw_affiliation_string":"University of Strathclyde, UK","institution_ids":["https://openalex.org/I181647926"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090954120","display_name":"Conor McBride","orcid":"https://orcid.org/0000-0003-1487-0886"},"institutions":[{"id":"https://openalex.org/I181647926","display_name":"University of Strathclyde","ror":"https://ror.org/00n3w3b69","country_code":"GB","type":"education","lineage":["https://openalex.org/I181647926"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Conor McBride","raw_affiliation_strings":["University of Strathclyde, UK"],"affiliations":[{"raw_affiliation_string":"University of Strathclyde, UK","institution_ids":["https://openalex.org/I181647926"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044225957","display_name":"Neil Ghani","orcid":null},"institutions":[{"id":"https://openalex.org/I181647926","display_name":"University of Strathclyde","ror":"https://ror.org/00n3w3b69","country_code":"GB","type":"education","lineage":["https://openalex.org/I181647926"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Neil Ghani","raw_affiliation_strings":["University of Strathclyde, UK"],"affiliations":[{"raw_affiliation_string":"University of Strathclyde, UK","institution_ids":["https://openalex.org/I181647926"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113482577","display_name":"Lorenzo Malatesta","orcid":null},"institutions":[{"id":"https://openalex.org/I181647926","display_name":"University of Strathclyde","ror":"https://ror.org/00n3w3b69","country_code":"GB","type":"education","lineage":["https://openalex.org/I181647926"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Lorenzo Malatesta","raw_affiliation_strings":["University of Strathclyde, UK"],"affiliations":[{"raw_affiliation_string":"University of Strathclyde, UK","institution_ids":["https://openalex.org/I181647926"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056420469","display_name":"Thorsten Altenkirch","orcid":"https://orcid.org/0000-0002-6582-5025"},"institutions":[{"id":"https://openalex.org/I142263535","display_name":"University of Nottingham","ror":"https://ror.org/01ee9ar58","country_code":"GB","type":"education","lineage":["https://openalex.org/I142263535"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Thorsten Altenkirch","raw_affiliation_strings":["University of Nottingham, UK"],"affiliations":[{"raw_affiliation_string":"University of Nottingham, UK","institution_ids":["https://openalex.org/I142263535"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5068566330"],"corresponding_institution_ids":["https://openalex.org/I181647926"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.37,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.89980916,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"156","last_page":"172"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9945999979972839,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9943000078201294,"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/recursion","display_name":"Recursion (computer science)","score":0.8122316598892212},{"id":"https://openalex.org/keywords/mutual-recursion","display_name":"Mutual recursion","score":0.6649370789527893},{"id":"https://openalex.org/keywords/morphism","display_name":"Morphism","score":0.6506153345108032},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5811340808868408},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.518307626247406},{"id":"https://openalex.org/keywords/double-recursion","display_name":"Double recursion","score":0.4524024426937103},{"id":"https://openalex.org/keywords/recursive-functions","display_name":"Recursive functions","score":0.42197859287261963},{"id":"https://openalex.org/keywords/salient","display_name":"Salient","score":0.41947007179260254},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4147481322288513},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3872562050819397},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36399126052856445},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3255002498626709},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3062291145324707},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19837960600852966},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1672878861427307}],"concepts":[{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.8122316598892212},{"id":"https://openalex.org/C124416688","wikidata":"https://www.wikidata.org/wiki/Q3454656","display_name":"Mutual recursion","level":3,"score":0.6649370789527893},{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.6506153345108032},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5811340808868408},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.518307626247406},{"id":"https://openalex.org/C139503435","wikidata":"https://www.wikidata.org/wiki/Q5300083","display_name":"Double recursion","level":3,"score":0.4524024426937103},{"id":"https://openalex.org/C2982939207","wikidata":"https://www.wikidata.org/wiki/Q1175101","display_name":"Recursive functions","level":2,"score":0.42197859287261963},{"id":"https://openalex.org/C2780719617","wikidata":"https://www.wikidata.org/wiki/Q1030752","display_name":"Salient","level":2,"score":0.41947007179260254},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4147481322288513},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3872562050819397},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36399126052856445},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3255002498626709},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3062291145324707},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19837960600852966},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1672878861427307}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-642-38946-7_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-38946-7_13","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:CiteSeerX.psu:10.1.1.638.5422","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.638.5422","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.nott.ac.uk/~txa/publ/tlca13-small-ir.pdf","raw_type":"text"},{"id":"pmh:oai:strathprints.strath.ac.uk:52358","is_oa":false,"landing_page_url":"https://strathprints.strath.ac.uk/52358/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402226","display_name":"Strathprints: The University of Strathclyde institutional repository (University of Strathclyde)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I181647926","host_organization_name":"University of Strathclyde","host_organization_lineage":["https://openalex.org/I181647926"],"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":"NonPeerReviewed"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2402030049","display_name":null,"funder_award_id":"EP/G033056/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G328145697","display_name":null,"funder_award_id":"EP/G03298X/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":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1539303361","https://openalex.org/W1546270920","https://openalex.org/W1559985026","https://openalex.org/W1586093680","https://openalex.org/W1594381772","https://openalex.org/W1601239300","https://openalex.org/W1602067282","https://openalex.org/W1828583149","https://openalex.org/W1836508668","https://openalex.org/W1858353210","https://openalex.org/W1969682671","https://openalex.org/W1983905931","https://openalex.org/W2022837260","https://openalex.org/W2058174669","https://openalex.org/W2079640625","https://openalex.org/W2088156780","https://openalex.org/W2120713972","https://openalex.org/W2129064963","https://openalex.org/W2132221175","https://openalex.org/W2132638915","https://openalex.org/W2133561142","https://openalex.org/W2151520617","https://openalex.org/W2296612922","https://openalex.org/W2574983198","https://openalex.org/W3104964042","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W560887346","https://openalex.org/W2006836388","https://openalex.org/W223586891","https://openalex.org/W2562211875","https://openalex.org/W4247266364","https://openalex.org/W3202311233","https://openalex.org/W2044963554","https://openalex.org/W4244779119","https://openalex.org/W1596057910","https://openalex.org/W4388310202"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
