{"id":"https://openalex.org/W1513749344","doi":"https://doi.org/10.1007/3-540-59119-2_174","title":"Learning recursive functions from approximations","display_name":"Learning recursive functions from approximations","publication_year":1995,"publication_date":"1995-01-01","ids":{"openalex":"https://openalex.org/W1513749344","doi":"https://doi.org/10.1007/3-540-59119-2_174","mag":"1513749344"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-59119-2_174","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-59119-2_174","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":"conference-paper","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/A5111850796","display_name":"John Case","orcid":null},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John Case","raw_affiliation_strings":["Department of Computer and Information Sciences, University of Delaware, Newark, USA","University of Delaware"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Sciences, University of Delaware, Newark, USA","institution_ids":["https://openalex.org/I86501945"]},{"raw_affiliation_string":"University of Delaware","institution_ids":["https://openalex.org/I86501945"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090039015","display_name":"Susanne Kaufmann","orcid":null},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]},{"id":"https://openalex.org/I4210119349","display_name":"Karlsruhe University of Education","ror":"https://ror.org/01t1kq612","country_code":"DE","type":"education","lineage":["https://openalex.org/I4210119349"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Susanne Kaufmann","raw_affiliation_strings":["Institut f\u00fcr Logik, Komplexit\u00e4t und Deduktionssysteme, Universit\u00e4t Karlsruhe, Karlsruhe, Germany","Universit\u00e4t Karlsruhe,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Logik, Komplexit\u00e4t und Deduktionssysteme, Universit\u00e4t Karlsruhe, Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]},{"raw_affiliation_string":"Universit\u00e4t Karlsruhe,","institution_ids":["https://openalex.org/I4210119349"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059343465","display_name":"Efim Kinber","orcid":null},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Efim Kinber","raw_affiliation_strings":["Department of Computer and Information Sciences, University of Delaware, Newark, USA","University of Delaware"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Sciences, University of Delaware, Newark, USA","institution_ids":["https://openalex.org/I86501945"]},{"raw_affiliation_string":"University of Delaware","institution_ids":["https://openalex.org/I86501945"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111440737","display_name":"Martin Kummer","orcid":null},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]},{"id":"https://openalex.org/I4210119349","display_name":"Karlsruhe University of Education","ror":"https://ror.org/01t1kq612","country_code":"DE","type":"education","lineage":["https://openalex.org/I4210119349"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martin Kummer","raw_affiliation_strings":["Institut f\u00fcr Logik, Komplexit\u00e4t und Deduktionssysteme, Universit\u00e4t Karlsruhe, Karlsruhe, Germany","Universit\u00e4t Karlsruhe,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Logik, Komplexit\u00e4t und Deduktionssysteme, Universit\u00e4t Karlsruhe, Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]},{"raw_affiliation_string":"Universit\u00e4t Karlsruhe,","institution_ids":["https://openalex.org/I4210119349"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.8861,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.83057667,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"140","last_page":"153"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9998999834060669,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9998999834060669,"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":0.9988999962806702,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9972000122070312,"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":0.6136099100112915},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5914614796638489},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5699641704559326},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5129327774047852},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.49873781204223633},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.48440223932266235},{"id":"https://openalex.org/keywords/recursive-functions","display_name":"Recursive functions","score":0.45190727710723877},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44943416118621826},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.44807225465774536},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4424581825733185},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4349318742752075},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4249490797519684},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.42407238483428955},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.42232710123062134},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.38960596919059753},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33373308181762695},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3264756500720978},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14241382479667664}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6136099100112915},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5914614796638489},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5699641704559326},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5129327774047852},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.49873781204223633},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.48440223932266235},{"id":"https://openalex.org/C2982939207","wikidata":"https://www.wikidata.org/wiki/Q1175101","display_name":"Recursive functions","level":2,"score":0.45190727710723877},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44943416118621826},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.44807225465774536},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4424581825733185},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4349318742752075},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4249490797519684},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.42407238483428955},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.42232710123062134},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.38960596919059753},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33373308181762695},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3264756500720978},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14241382479667664},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/3-540-59119-2_174","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-59119-2_174","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:10.1.1.39.316","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.39.316","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://werner.ira.uka.de/~kaufmann/CKKK95.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W234856483","https://openalex.org/W623765668","https://openalex.org/W1491769334","https://openalex.org/W1675346939","https://openalex.org/W1989763075","https://openalex.org/W1995304514","https://openalex.org/W2017636732","https://openalex.org/W2018722248","https://openalex.org/W2025980794","https://openalex.org/W2032304468","https://openalex.org/W2040234790","https://openalex.org/W2041943346","https://openalex.org/W2056414301","https://openalex.org/W2063688469","https://openalex.org/W2064496697","https://openalex.org/W2067619284","https://openalex.org/W2068666632","https://openalex.org/W2083063895","https://openalex.org/W2154952480","https://openalex.org/W2160493389","https://openalex.org/W2295632405","https://openalex.org/W2912731686","https://openalex.org/W2913180960","https://openalex.org/W4232277851","https://openalex.org/W6609996767","https://openalex.org/W6619767332","https://openalex.org/W6637312788","https://openalex.org/W6758622093"],"related_works":["https://openalex.org/W3162204513","https://openalex.org/W2371138613","https://openalex.org/W2048963458","https://openalex.org/W43109613","https://openalex.org/W2359952343","https://openalex.org/W3013085049","https://openalex.org/W2080152487","https://openalex.org/W2239445980","https://openalex.org/W1560496689","https://openalex.org/W2152992791"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}