{"id":"https://openalex.org/W1933209085","doi":"https://doi.org/10.3233/com-150033","title":"On maximum conservative extensions","display_name":"On maximum conservative extensions","publication_year":2015,"publication_date":"2015-02-01","ids":{"openalex":"https://openalex.org/W1933209085","doi":"https://doi.org/10.3233/com-150033","mag":"1933209085"},"language":"en","primary_location":{"id":"doi:10.3233/com-150033","is_oa":false,"landing_page_url":"https://doi.org/10.3233/com-150033","pdf_url":null,"source":{"id":"https://openalex.org/S4210231662","display_name":"Computability","issn_l":"2211-3568","issn":["2211-3568","2211-3576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computability","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1302.1488","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047471753","display_name":"Henry Towsner","orcid":"https://orcid.org/0000-0001-7993-5148"},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Henry Towsner","raw_affiliation_strings":["Department of Mathematics, University of Pennsylvania, 209 South 33rd Street, Philadelphia, PA 19104-6395, USA. E-mail: htowsner@math.upenn.edu; Url: www.math.upenn.edu/~htowsner","Department of Mathematics, University of Pennsylvania, 209 South 33rd Street, Philadelphia, PA 19104-6395, USA. E-mail: htowsner@math.upenn.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Pennsylvania, 209 South 33rd Street, Philadelphia, PA 19104-6395, USA. E-mail: htowsner@math.upenn.edu; Url: www.math.upenn.edu/~htowsner","institution_ids":["https://openalex.org/I79576946"]},{"raw_affiliation_string":"Department of Mathematics, University of Pennsylvania, 209 South 33rd Street, Philadelphia, PA 19104-6395, USA. E-mail: htowsner@math.upenn.edu","institution_ids":["https://openalex.org/I79576946"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5047471753"],"corresponding_institution_ids":["https://openalex.org/I79576946"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.05446322,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"4","issue":"1","first_page":"57","last_page":"68"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9961000084877014,"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/T11567","display_name":"semigroups and automata theory","score":0.9764000177383423,"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/mathematics","display_name":"Mathematics","score":0.642817497253418},{"id":"https://openalex.org/keywords/sigma","display_name":"Sigma","score":0.6408628225326538},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5383056402206421},{"id":"https://openalex.org/keywords/pi","display_name":"Pi","score":0.46131396293640137},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4418164789676666},{"id":"https://openalex.org/keywords/set-theory","display_name":"Set theory","score":0.4328606426715851},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3606724441051483},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3534652590751648},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3154793381690979},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19856876134872437},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17959490418434143},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07055020332336426}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.642817497253418},{"id":"https://openalex.org/C2778049214","wikidata":"https://www.wikidata.org/wiki/Q7512234","display_name":"Sigma","level":2,"score":0.6408628225326538},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5383056402206421},{"id":"https://openalex.org/C53009064","wikidata":"https://www.wikidata.org/wiki/Q167","display_name":"Pi","level":2,"score":0.46131396293640137},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4418164789676666},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.4328606426715851},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3606724441051483},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3534652590751648},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3154793381690979},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19856876134872437},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17959490418434143},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07055020332336426},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3233/com-150033","is_oa":false,"landing_page_url":"https://doi.org/10.3233/com-150033","pdf_url":null,"source":{"id":"https://openalex.org/S4210231662","display_name":"Computability","issn_l":"2211-3568","issn":["2211-3568","2211-3576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computability","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1302.1488","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1302.1488","pdf_url":"https://arxiv.org/pdf/1302.1488","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"mag:1933209085","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1302.1488v2","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.744.3812","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.744.3812","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1302.1488.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.1302.1488","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1302.1488","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1302.1488","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1302.1488","pdf_url":"https://arxiv.org/pdf/1302.1488","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1855542436","https://openalex.org/W2055394931","https://openalex.org/W2092787457","https://openalex.org/W2148962283","https://openalex.org/W2152863911"],"related_works":["https://openalex.org/W1811311838","https://openalex.org/W2226999145","https://openalex.org/W2971581325","https://openalex.org/W1987374649","https://openalex.org/W3099342983","https://openalex.org/W2509473331","https://openalex.org/W2745162404","https://openalex.org/W2952342722"],"abstract_inverted_index":{"We":[0,21],"investigate":[1],"the":[2,31,38,44],"set":[3],"of":[4,17,25],"\u03a0":[5,11,34],"1":[6,12,13],"2":[7,35],"sentences":[8],"which":[9],"are":[10,33],"conservative":[14],"over":[15,43],"theories":[16],"second":[18],"order":[19],"arithmetic.":[20],"exhibit":[22],"new":[23],"elements":[24],"these":[26],"sets":[27,32],"and":[28],"conclude":[29],"that":[30],"complete.":[36],"Along":[37],"way,":[39],"we":[40],"show":[41],"that,":[42],"theory":[45],"RCA":[46],"0":[47],",":[48],"induction":[49],"for":[50,58],"\u03a3":[51],"n":[52],"formulas":[53],"has":[54],"essentially":[55],"no":[56],"consequences":[57],"\u0394":[59],"n+1":[60],"formulas.":[61]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-05-01T06:04:38.248271","created_date":"2025-10-10T00:00:00"}
