{"id":"https://openalex.org/W2122659273","doi":"https://doi.org/10.1007/s00153-009-0167-x","title":"The basic theory of infinite time register machines","display_name":"The basic theory of infinite time register machines","publication_year":2010,"publication_date":"2010-01-11","ids":{"openalex":"https://openalex.org/W2122659273","doi":"https://doi.org/10.1007/s00153-009-0167-x","mag":"2122659273"},"language":"en","primary_location":{"id":"doi:10.1007/s00153-009-0167-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-009-0167-x","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/A5012757472","display_name":"Merlin Carl","orcid":"https://orcid.org/0000-0003-0010-2034"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Merlin Carl","raw_affiliation_strings":["Mathematisches Institut, Universit\u00e4t Bonn, Bonn, Germany","Universit\u00e4t Bonn >  >  >  >"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematisches Institut, Universit\u00e4t Bonn, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]},{"raw_affiliation_string":"Universit\u00e4t Bonn >  >  >  >","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005076663","display_name":"Tim Fischbach","orcid":null},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Tim Fischbach","raw_affiliation_strings":["Mathematisches Institut, Universit\u00e4t Bonn, Bonn, Germany","Universit\u00e4t Bonn >  >  >  >"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematisches Institut, Universit\u00e4t Bonn, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]},{"raw_affiliation_string":"Universit\u00e4t Bonn >  >  >  >","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078814566","display_name":"Peter Koepke","orcid":"https://orcid.org/0000-0002-2266-134X"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Peter Koepke","raw_affiliation_strings":["Mathematisches Institut, Universit\u00e4t Bonn, Bonn, Germany","Universit\u00e4t Bonn >  >  >  >"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematisches Institut, Universit\u00e4t Bonn, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]},{"raw_affiliation_string":"Universit\u00e4t Bonn >  >  >  >","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023519762","display_name":"Russell Miller","orcid":"https://orcid.org/0000-0003-0268-1391"},"institutions":[{"id":"https://openalex.org/I111455621","display_name":"Queens College, CUNY","ror":"https://ror.org/03v8adn41","country_code":"US","type":"education","lineage":["https://openalex.org/I111455621"]},{"id":"https://openalex.org/I121847817","display_name":"The Graduate Center, CUNY","ror":"https://ror.org/00awd9g61","country_code":"US","type":"education","lineage":["https://openalex.org/I121847817"]},{"id":"https://openalex.org/I174216632","display_name":"City University of New York","ror":"https://ror.org/00453a208","country_code":"US","type":"education","lineage":["https://openalex.org/I174216632"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Russell Miller","raw_affiliation_strings":["Queens College and The Graduate Center, City University of New York, New York, NY, USA","CITY UNIVERSITY OF NEW YORK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Queens College and The Graduate Center, City University of New York, New York, NY, USA","institution_ids":["https://openalex.org/I111455621","https://openalex.org/I121847817"]},{"raw_affiliation_string":"CITY UNIVERSITY OF NEW YORK","institution_ids":["https://openalex.org/I174216632"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064330657","display_name":"Miriam Nasfi","orcid":null},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Miriam Nasfi","raw_affiliation_strings":["Mathematisches Institut, Universit\u00e4t Bonn, Bonn, Germany","Universit\u00e4t Bonn >  >  >  >"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematisches Institut, Universit\u00e4t Bonn, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]},{"raw_affiliation_string":"Universit\u00e4t Bonn >  >  >  >","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072296019","display_name":"Gregor Weckbecker","orcid":null},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Gregor Weckbecker","raw_affiliation_strings":["Mathematisches Institut, Universit\u00e4t Bonn, Bonn, Germany","Universit\u00e4t Bonn >  >  >  >"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematisches Institut, Universit\u00e4t Bonn, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]},{"raw_affiliation_string":"Universit\u00e4t Bonn >  >  >  >","institution_ids":["https://openalex.org/I135140700"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5072296019"],"corresponding_institution_ids":["https://openalex.org/I135140700"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":1.2723,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.80779905,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"49","issue":"2","first_page":"249","last_page":"273"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":1.0,"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":1.0,"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/T11567","display_name":"semigroups and automata theory","score":0.9991999864578247,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9976999759674072,"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/oracle","display_name":"Oracle","score":0.5879084467887878},{"id":"https://openalex.org/keywords/turing-machine","display_name":"Turing machine","score":0.5815906524658203},{"id":"https://openalex.org/keywords/register","display_name":"Register (sociolinguistics)","score":0.5618466734886169},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5564457178115845},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5117309093475342},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.493042916059494},{"id":"https://openalex.org/keywords/natural-number","display_name":"Natural number","score":0.4669892191886902},{"id":"https://openalex.org/keywords/successor-cardinal","display_name":"Successor cardinal","score":0.44474494457244873},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4438774883747101},{"id":"https://openalex.org/keywords/reset","display_name":"Reset (finance)","score":0.43158605694770813},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4222766160964966},{"id":"https://openalex.org/keywords/tuple","display_name":"Tuple","score":0.41287919878959656},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3489583730697632},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.21265503764152527},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.13963106274604797}],"concepts":[{"id":"https://openalex.org/C55166926","wikidata":"https://www.wikidata.org/wiki/Q2892946","display_name":"Oracle","level":2,"score":0.5879084467887878},{"id":"https://openalex.org/C29248071","wikidata":"https://www.wikidata.org/wiki/Q163310","display_name":"Turing machine","level":3,"score":0.5815906524658203},{"id":"https://openalex.org/C2779235478","wikidata":"https://www.wikidata.org/wiki/Q286576","display_name":"Register (sociolinguistics)","level":2,"score":0.5618466734886169},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5564457178115845},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5117309093475342},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.493042916059494},{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.4669892191886902},{"id":"https://openalex.org/C75306776","wikidata":"https://www.wikidata.org/wiki/Q7632662","display_name":"Successor cardinal","level":2,"score":0.44474494457244873},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4438774883747101},{"id":"https://openalex.org/C2779795794","wikidata":"https://www.wikidata.org/wiki/Q7315343","display_name":"Reset (finance)","level":2,"score":0.43158605694770813},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4222766160964966},{"id":"https://openalex.org/C118930307","wikidata":"https://www.wikidata.org/wiki/Q600590","display_name":"Tuple","level":2,"score":0.41287919878959656},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3489583730697632},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.21265503764152527},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.13963106274604797},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","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},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00153-009-0167-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-009-0167-x","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.460.75","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.460.75","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://131.220.132.179/people/koepke/Preprints/The_basic_theory_of_infinite_time_register_machines.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1515086489","https://openalex.org/W1575123319","https://openalex.org/W1930408770","https://openalex.org/W2001043560","https://openalex.org/W2064937274","https://openalex.org/W2109661184","https://openalex.org/W2115827943","https://openalex.org/W2122092051","https://openalex.org/W2134322756","https://openalex.org/W2535065661","https://openalex.org/W2571490773"],"related_works":["https://openalex.org/W1516047453","https://openalex.org/W2074733683","https://openalex.org/W2972938863","https://openalex.org/W2154510070","https://openalex.org/W4366809670","https://openalex.org/W152436210","https://openalex.org/W2968267641","https://openalex.org/W1575123319","https://openalex.org/W2070323038","https://openalex.org/W2090160483"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
