{"id":"https://openalex.org/W2093589140","doi":"https://doi.org/10.1007/s00153-010-0199-2","title":"Consistency statements and iterations of computable functions in I\u03a31 and PRA","display_name":"Consistency statements and iterations of computable functions in I\u03a31 and PRA","publication_year":2010,"publication_date":"2010-07-15","ids":{"openalex":"https://openalex.org/W2093589140","doi":"https://doi.org/10.1007/s00153-010-0199-2","mag":"2093589140"},"language":"en","primary_location":{"id":"doi:10.1007/s00153-010-0199-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-010-0199-2","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/A5086500294","display_name":"Joost J. Joosten","orcid":"https://orcid.org/0000-0001-9590-5045"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Joost J. Joosten","raw_affiliation_strings":["Group for Logic, Language and Information, University of Seville, c/ Camilo Jos\u00e9 Cela s/n, 41018, Sevilla, Espa\u00f1a","Group for Logic, Language and Information, University of Seville, Sevilla, Espa\u00f1a 41018#TAB#"],"affiliations":[{"raw_affiliation_string":"Group for Logic, Language and Information, University of Seville, c/ Camilo Jos\u00e9 Cela s/n, 41018, Sevilla, Espa\u00f1a","institution_ids":["https://openalex.org/I79238269"]},{"raw_affiliation_string":"Group for Logic, Language and Information, University of Seville, Sevilla, Espa\u00f1a 41018#TAB#","institution_ids":["https://openalex.org/I79238269"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5086500294"],"corresponding_institution_ids":["https://openalex.org/I79238269"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.15826184,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"49","issue":"7-8","first_page":"773","last_page":"798"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9990000128746033,"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":0.9990000128746033,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9829000234603882,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9811000227928162,"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/mathematical-proof","display_name":"Mathematical proof","score":0.782380223274231},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7240619659423828},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.6300607323646545},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5911325812339783},{"id":"https://openalex.org/keywords/computable-analysis","display_name":"Computable analysis","score":0.47217506170272827},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.45599550008773804},{"id":"https://openalex.org/keywords/computable-function","display_name":"Computable function","score":0.4345128536224365},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.43348467350006104},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42389559745788574},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4062587022781372},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34423911571502686},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16233333945274353},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11667507886886597}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.782380223274231},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7240619659423828},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.6300607323646545},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5911325812339783},{"id":"https://openalex.org/C27318111","wikidata":"https://www.wikidata.org/wiki/Q5157264","display_name":"Computable analysis","level":3,"score":0.47217506170272827},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.45599550008773804},{"id":"https://openalex.org/C54271186","wikidata":"https://www.wikidata.org/wiki/Q1148456","display_name":"Computable function","level":2,"score":0.4345128536224365},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.43348467350006104},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42389559745788574},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4062587022781372},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34423911571502686},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16233333945274353},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11667507886886597},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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/s00153-010-0199-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-010-0199-2","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":[{"id":"https://metadata.un.org/sdg/10","score":0.4399999976158142,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W9698083","https://openalex.org/W132036571","https://openalex.org/W1493890316","https://openalex.org/W1556453281","https://openalex.org/W1572451808","https://openalex.org/W1587799979","https://openalex.org/W1601654835","https://openalex.org/W1602067282","https://openalex.org/W1603464552","https://openalex.org/W1793763201","https://openalex.org/W1975810242","https://openalex.org/W1989844562","https://openalex.org/W2011612028","https://openalex.org/W2014082347","https://openalex.org/W2040404640","https://openalex.org/W2074448200","https://openalex.org/W2076792546","https://openalex.org/W2094244132","https://openalex.org/W2109720437","https://openalex.org/W2128026324","https://openalex.org/W3039529476","https://openalex.org/W3194009119","https://openalex.org/W4232166111","https://openalex.org/W4239618235","https://openalex.org/W4252147174"],"related_works":["https://openalex.org/W98540345","https://openalex.org/W153068418","https://openalex.org/W2046021909","https://openalex.org/W1577501449","https://openalex.org/W1987175852","https://openalex.org/W1994403863","https://openalex.org/W2527631632","https://openalex.org/W2150482238","https://openalex.org/W4206289504","https://openalex.org/W197714092"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
