{"id":"https://openalex.org/W2081380488","doi":"https://doi.org/10.1007/s00037-004-0184-4","title":"Recursion Schemata for Slowly Growing Depth Circuit Classes","display_name":"Recursion Schemata for Slowly Growing Depth Circuit Classes","publication_year":2004,"publication_date":"2004-12-01","ids":{"openalex":"https://openalex.org/W2081380488","doi":"https://doi.org/10.1007/s00037-004-0184-4","mag":"2081380488"},"language":"en","primary_location":{"id":"doi:10.1007/s00037-004-0184-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00037-004-0184-4","pdf_url":null,"source":{"id":"https://openalex.org/S193995496","display_name":"Computational Complexity","issn_l":"1016-3328","issn":["1016-3328","1420-8954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"computational complexity","raw_type":"journal-article"},"type":"article","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/A5059665699","display_name":"Satoru Kuroda","orcid":"https://orcid.org/0000-0001-8422-4260"},"institutions":[{"id":"https://openalex.org/I1966735","display_name":"Gunma Prefectural Women's University","ror":"https://ror.org/016hp9x85","country_code":"JP","type":"education","lineage":["https://openalex.org/I1966735"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Satoru Kuroda","raw_affiliation_strings":["Gunma Prefectural Women\u2019s University, 1395-1, Kaminote, Tamamura-machi, Sawagun, Gunma, 370-1193, Japan","Gunma Prefectural Women's University, 1395-1, Kaminote, Tamamura-machi, Swagun, Gunma, 370-1193, Japan#TAB#"],"affiliations":[{"raw_affiliation_string":"Gunma Prefectural Women\u2019s University, 1395-1, Kaminote, Tamamura-machi, Sawagun, Gunma, 370-1193, Japan","institution_ids":["https://openalex.org/I1966735"]},{"raw_affiliation_string":"Gunma Prefectural Women's University, 1395-1, Kaminote, Tamamura-machi, Swagun, Gunma, 370-1193, Japan#TAB#","institution_ids":["https://openalex.org/I1966735"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5059665699"],"corresponding_institution_ids":["https://openalex.org/I1966735"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.16070941,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"13","issue":"1-2","first_page":"69","last_page":"89"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9997000098228455,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9988999962806702,"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/T11567","display_name":"semigroups and automata theory","score":0.998199999332428,"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":0.9268847703933716},{"id":"https://openalex.org/keywords/mutual-recursion","display_name":"Mutual recursion","score":0.7474843859672546},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.7419379353523254},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6937279105186462},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5293874144554138},{"id":"https://openalex.org/keywords/double-recursion","display_name":"Double recursion","score":0.46635594964027405},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4430800676345825},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38940730690956116},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3881028890609741},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3621768653392792},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.35304754972457886},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.33254027366638184},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.28182080388069153},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06225934624671936}],"concepts":[{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.9268847703933716},{"id":"https://openalex.org/C124416688","wikidata":"https://www.wikidata.org/wiki/Q3454656","display_name":"Mutual recursion","level":3,"score":0.7474843859672546},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.7419379353523254},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6937279105186462},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5293874144554138},{"id":"https://openalex.org/C139503435","wikidata":"https://www.wikidata.org/wiki/Q5300083","display_name":"Double recursion","level":3,"score":0.46635594964027405},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4430800676345825},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38940730690956116},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3881028890609741},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3621768653392792},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.35304754972457886},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.33254027366638184},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.28182080388069153},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06225934624671936},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00037-004-0184-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00037-004-0184-4","pdf_url":null,"source":{"id":"https://openalex.org/S193995496","display_name":"Computational Complexity","issn_l":"1016-3328","issn":["1016-3328","1420-8954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"computational complexity","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1539014","https://openalex.org/W1571305455","https://openalex.org/W1579247651","https://openalex.org/W1970717586","https://openalex.org/W1981324778","https://openalex.org/W1985854796","https://openalex.org/W1999590237","https://openalex.org/W2001022561","https://openalex.org/W2017290750","https://openalex.org/W2036265926","https://openalex.org/W2045001685","https://openalex.org/W2069301430","https://openalex.org/W2069792094","https://openalex.org/W2136868774","https://openalex.org/W2163512254","https://openalex.org/W2949382050","https://openalex.org/W3029117793"],"related_works":["https://openalex.org/W2006836388","https://openalex.org/W2896379815","https://openalex.org/W2155605358","https://openalex.org/W2374742784","https://openalex.org/W223586891","https://openalex.org/W1563586960","https://openalex.org/W560887346","https://openalex.org/W4246540581","https://openalex.org/W2065302945","https://openalex.org/W2044963554"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
