{"id":"https://openalex.org/W2001118478","doi":"https://doi.org/10.2307/2586750","title":"The proof-theoretic analysis of transfinitely iterated fixed point theories","display_name":"The proof-theoretic analysis of transfinitely iterated fixed point theories","publication_year":1999,"publication_date":"1999-03-01","ids":{"openalex":"https://openalex.org/W2001118478","doi":"https://doi.org/10.2307/2586750","mag":"2001118478"},"language":"en","primary_location":{"id":"doi:10.2307/2586750","is_oa":true,"landing_page_url":"https://doi.org/10.2307/2586750","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/5E0949E1AF9AAB6001DBECBBA7B8686D/S002248120001389Xa.pdf/div-class-title-the-proof-theoretic-analysis-of-transfinitely-iterated-fixed-point-theories-div.pdf","source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/5E0949E1AF9AAB6001DBECBBA7B8686D/S002248120001389Xa.pdf/div-class-title-the-proof-theoretic-analysis-of-transfinitely-iterated-fixed-point-theories-div.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019358632","display_name":"Gerhard J\u00e4ger","orcid":"https://orcid.org/0000-0002-9642-9359"},"institutions":[{"id":"https://openalex.org/I118564535","display_name":"University of Bern","ror":"https://ror.org/02k7v4d05","country_code":"CH","type":"education","lineage":["https://openalex.org/I118564535"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Gerhard J\u00c4ger","raw_affiliation_strings":["Institut f\u00fcr Informatik und Angewandte Mathematik, Universit\u00e4t Bern, Neubr\u00fcckstrasse 10, Ch-3012 Bern, Switzerland E-mail:"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik und Angewandte Mathematik, Universit\u00e4t Bern, Neubr\u00fcckstrasse 10, Ch-3012 Bern, Switzerland E-mail:","institution_ids":["https://openalex.org/I118564535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048687535","display_name":"Reinhard K\u00e4hle","orcid":"https://orcid.org/0000-0002-9064-877X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Reinhard Kahle","raw_affiliation_strings":["Universit\u00fct T\u00fcbingen, Wsi, Sand 13, D-72076 T\u00fcbingen, Germany E-mail:"],"affiliations":[{"raw_affiliation_string":"Universit\u00fct T\u00fcbingen, Wsi, Sand 13, D-72076 T\u00fcbingen, Germany E-mail:","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060337321","display_name":"Anton Setzer","orcid":"https://orcid.org/0000-0001-5322-6060"},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Anton Setzer","raw_affiliation_strings":["Department of Mathematics, Uppsala University, P.O. Box 480, S-751 06 Uppsala., Sweden E-mail:"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Uppsala University, P.O. Box 480, S-751 06 Uppsala., Sweden E-mail:","institution_ids":["https://openalex.org/I123387679"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010107932","display_name":"Thomas Strahm","orcid":"https://orcid.org/0000-0003-2319-7056"},"institutions":[{"id":"https://openalex.org/I118564535","display_name":"University of Bern","ror":"https://ror.org/02k7v4d05","country_code":"CH","type":"education","lineage":["https://openalex.org/I118564535"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Thomas Strahm","raw_affiliation_strings":["Institut F\u00fcr Informatik und Angewandte Mathematik, Universit\u00fct Bern, Neubr\u00fcckstrasse 10, Ch-3012 Bern, Switzerland E-mail:"],"affiliations":[{"raw_affiliation_string":"Institut F\u00fcr Informatik und Angewandte Mathematik, Universit\u00fct Bern, Neubr\u00fcckstrasse 10, Ch-3012 Bern, Switzerland E-mail:","institution_ids":["https://openalex.org/I118564535"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5019358632"],"corresponding_institution_ids":["https://openalex.org/I118564535"],"apc_list":null,"apc_paid":null,"fwci":4.677,"has_fulltext":true,"cited_by_count":42,"citation_normalized_percentile":{"value":0.94686552,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"64","issue":"1","first_page":"53","last_page":"67"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9927999973297119,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9927999973297119,"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":0.9771999716758728,"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/T12170","display_name":"History and Theory of Mathematics","score":0.9659000039100647,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/iterated-function","display_name":"Iterated function","score":0.7119293212890625},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4981849193572998},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.46710434556007385},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4211430549621582},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37918487191200256},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.37358543276786804},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3590700030326843},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3246108293533325},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07928627729415894},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.044095754623413086},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.040534526109695435}],"concepts":[{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.7119293212890625},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4981849193572998},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.46710434556007385},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4211430549621582},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37918487191200256},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.37358543276786804},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3590700030326843},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3246108293533325},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07928627729415894},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.044095754623413086},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.040534526109695435},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.2307/2586750","is_oa":true,"landing_page_url":"https://doi.org/10.2307/2586750","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/5E0949E1AF9AAB6001DBECBBA7B8686D/S002248120001389Xa.pdf/div-class-title-the-proof-theoretic-analysis-of-transfinitely-iterated-fixed-point-theories-div.pdf","source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1183745691","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1183745691","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":"Text"},{"id":"pmh:oai:boris.unibe.ch:115095","is_oa":true,"landing_page_url":"https://boris.unibe.ch/115095/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401086","display_name":"Bern Open Repository and Information System (University of Bern)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118564535","host_organization_name":"University of Bern","host_organization_lineage":["https://openalex.org/I118564535"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"J\u00e4ger, Gerhard Max; Kahle, Reinhard; Setzer, Anton; Strahm, Thomas Adrian (1999). The proof-theoretic analysis of transfinitely iterated fixed point theories. The journal of symbolic logic, 64(01), pp. 53-67. Cambridge University Press 10.2307/2586750 &lt;http://dx.doi.org/10.2307/2586750&gt;","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doc.rero.ch:299824","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400148","display_name":"reroDoc Digital Library","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"doi:10.2307/2586750","is_oa":true,"landing_page_url":"https://doi.org/10.2307/2586750","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/5E0949E1AF9AAB6001DBECBBA7B8686D/S002248120001389Xa.pdf/div-class-title-the-proof-theoretic-analysis-of-transfinitely-iterated-fixed-point-theories-div.pdf","source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Logic","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2001118478.pdf","grobid_xml":"https://content.openalex.org/works/W2001118478.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W191705811","https://openalex.org/W1514633965","https://openalex.org/W1579817075","https://openalex.org/W1970430231","https://openalex.org/W1981577462","https://openalex.org/W2025127850","https://openalex.org/W2043433016","https://openalex.org/W2114374802","https://openalex.org/W2314560038","https://openalex.org/W3038873949","https://openalex.org/W4236364473","https://openalex.org/W4250879870","https://openalex.org/W7068137150"],"related_works":["https://openalex.org/W2003635053","https://openalex.org/W2037293272","https://openalex.org/W2119607119","https://openalex.org/W2334708296","https://openalex.org/W2514111614","https://openalex.org/W3046795730","https://openalex.org/W2029537334","https://openalex.org/W2135702680","https://openalex.org/W2031659000","https://openalex.org/W2169114697"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"article":[2],"provides":[3],"the":[4,8,16],"proof-theoretic":[5,18],"analysis":[6],"of":[7,20],"transfinitely":[9],"iterated":[10],"fixed":[11],"point":[12],"theories":[13],"and":[14],";":[15],"exact":[17],"ordinals":[19],"these":[21],"systems":[22],"are":[23],"presented.":[24]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
