{"id":"https://openalex.org/W2003918494","doi":"https://doi.org/10.1007/pl00003845","title":"Subrecursive degrees and fragments of Peano Arithmetic","display_name":"Subrecursive degrees and fragments of Peano Arithmetic","publication_year":2001,"publication_date":"2001-07-01","ids":{"openalex":"https://openalex.org/W2003918494","doi":"https://doi.org/10.1007/pl00003845","mag":"2003918494"},"language":"en","primary_location":{"id":"doi:10.1007/pl00003845","is_oa":false,"landing_page_url":"https://doi.org/10.1007/pl00003845","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","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/A5063909629","display_name":"Lars Kristiansen","orcid":"https://orcid.org/0000-0002-6749-4004"},"institutions":[{"id":"https://openalex.org/I184942183","display_name":"University of Oslo","ror":"https://ror.org/01xtthb56","country_code":"NO","type":"education","lineage":["https://openalex.org/I184942183"]}],"countries":["NO"],"is_corresponding":true,"raw_author_name":"Lars Kristiansen","raw_affiliation_strings":["Matematisk Institutt, University of Oslo, P.B. 1053, Blindern, 0316 Oslo, Norway. e-mail: larskri@iu.hioslo.no, , , , , , NO","Matematisk Institutt, University of Oslo, P.B. 1053, Blindern, 0316 Oslo, Norway. e-mail: larskri@iu.hioslo.no, , NO"],"affiliations":[{"raw_affiliation_string":"Matematisk Institutt, University of Oslo, P.B. 1053, Blindern, 0316 Oslo, Norway. e-mail: larskri@iu.hioslo.no, , , , , , NO","institution_ids":["https://openalex.org/I184942183"]},{"raw_affiliation_string":"Matematisk Institutt, University of Oslo, P.B. 1053, Blindern, 0316 Oslo, Norway. e-mail: larskri@iu.hioslo.no, , NO","institution_ids":["https://openalex.org/I184942183"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5063909629"],"corresponding_institution_ids":["https://openalex.org/I184942183"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.4636,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.64912672,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"40","issue":"5","first_page":"365","last_page":"397"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","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/T12002","display_name":"Computability, Logic, AI Algorithms","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/T13720","display_name":"Benford\u2019s Law and Fraud Detection","score":0.9652000069618225,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.939300000667572,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/second-order-arithmetic","display_name":"Second-order arithmetic","score":0.934147298336029},{"id":"https://openalex.org/keywords/peano-axioms","display_name":"Peano axioms","score":0.9134275913238525},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8482329845428467},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5172417759895325},{"id":"https://openalex.org/keywords/computability","display_name":"Computability","score":0.5145556330680847},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5021286010742188},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.45237502455711365},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4470342695713043},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.44643014669418335},{"id":"https://openalex.org/keywords/arithmetic-function","display_name":"Arithmetic function","score":0.4232340455055237},{"id":"https://openalex.org/keywords/reverse-mathematics","display_name":"Reverse mathematics","score":0.4158784747123718},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4136171042919159},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.30339571833610535},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.258333683013916}],"concepts":[{"id":"https://openalex.org/C65148605","wikidata":"https://www.wikidata.org/wiki/Q7442973","display_name":"Second-order arithmetic","level":3,"score":0.934147298336029},{"id":"https://openalex.org/C97489613","wikidata":"https://www.wikidata.org/wiki/Q842755","display_name":"Peano axioms","level":2,"score":0.9134275913238525},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8482329845428467},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5172417759895325},{"id":"https://openalex.org/C152062344","wikidata":"https://www.wikidata.org/wiki/Q818888","display_name":"Computability","level":2,"score":0.5145556330680847},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5021286010742188},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.45237502455711365},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4470342695713043},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.44643014669418335},{"id":"https://openalex.org/C112343008","wikidata":"https://www.wikidata.org/wiki/Q140744","display_name":"Arithmetic function","level":2,"score":0.4232340455055237},{"id":"https://openalex.org/C127753061","wikidata":"https://www.wikidata.org/wiki/Q2005236","display_name":"Reverse mathematics","level":3,"score":0.4158784747123718},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4136171042919159},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.30339571833610535},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.258333683013916},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/pl00003845","is_oa":false,"landing_page_url":"https://doi.org/10.1007/pl00003845","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","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/W150512217","https://openalex.org/W615345195","https://openalex.org/W623765668","https://openalex.org/W1572451808","https://openalex.org/W1579247651","https://openalex.org/W1981324778","https://openalex.org/W1991290922","https://openalex.org/W2035245701","https://openalex.org/W2038671477","https://openalex.org/W2052456033","https://openalex.org/W2052936500","https://openalex.org/W2074448200","https://openalex.org/W2076792546","https://openalex.org/W2081990119","https://openalex.org/W2091112568","https://openalex.org/W2117832390","https://openalex.org/W2144600960"],"related_works":["https://openalex.org/W1616114834","https://openalex.org/W2170311073","https://openalex.org/W2106260240","https://openalex.org/W1565076445","https://openalex.org/W2063064015","https://openalex.org/W2171255643","https://openalex.org/W3215510974","https://openalex.org/W2066300600","https://openalex.org/W4286851433","https://openalex.org/W2044107340"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
