{"id":"https://openalex.org/W1924662284","doi":"https://doi.org/10.1215/00294527-2008-028","title":"Growing Commas. A Study of Sequentiality and Concatenation","display_name":"Growing Commas. A Study of Sequentiality and Concatenation","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1924662284","doi":"https://doi.org/10.1215/00294527-2008-028","mag":"1924662284"},"language":"en","primary_location":{"id":"doi:10.1215/00294527-2008-028","is_oa":true,"landing_page_url":"https://doi.org/10.1215/00294527-2008-028","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-50/issue-1/Growing-Commas-A-Study-of-Sequentiality-and-Concatenation/10.1215/00294527-2008-028.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-50/issue-1/Growing-Commas-A-Study-of-Sequentiality-and-Concatenation/10.1215/00294527-2008-028.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056284600","display_name":"Albert Visser","orcid":"https://orcid.org/0000-0001-9452-278X"},"institutions":[{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]},{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE","NL"],"is_corresponding":true,"raw_author_name":"Albert Visser","raw_affiliation_strings":["3584 CS Utrecht THE NETHERLANDS","Department of Philosophy Utrecht University Heidelberglaan","Utrecht university >  >  >  >"],"affiliations":[{"raw_affiliation_string":"3584 CS Utrecht THE NETHERLANDS","institution_ids":[]},{"raw_affiliation_string":"Department of Philosophy Utrecht University Heidelberglaan","institution_ids":["https://openalex.org/I223822909"]},{"raw_affiliation_string":"Utrecht university >  >  >  >","institution_ids":["https://openalex.org/I193662353"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5056284600"],"corresponding_institution_ids":["https://openalex.org/I193662353","https://openalex.org/I223822909"],"apc_list":null,"apc_paid":null,"fwci":0.3428,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.57623436,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"50","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9825999736785889,"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/T11567","display_name":"semigroups and automata theory","score":0.9825999736785889,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9800000190734863,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9768000245094299,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/concatenation","display_name":"Concatenation (mathematics)","score":0.8752906322479248},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.574985682964325},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5018167495727539},{"id":"https://openalex.org/keywords/pairing","display_name":"Pairing","score":0.4892385005950928},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48765552043914795},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.417753666639328},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.385693222284317},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36541953682899475},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08573222160339355},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.08491811156272888},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.05741438269615173}],"concepts":[{"id":"https://openalex.org/C87619178","wikidata":"https://www.wikidata.org/wiki/Q126002","display_name":"Concatenation (mathematics)","level":2,"score":0.8752906322479248},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.574985682964325},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5018167495727539},{"id":"https://openalex.org/C14103023","wikidata":"https://www.wikidata.org/wiki/Q11681459","display_name":"Pairing","level":3,"score":0.4892385005950928},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48765552043914795},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.417753666639328},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.385693222284317},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36541953682899475},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08573222160339355},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.08491811156272888},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.05741438269615173},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C54101563","wikidata":"https://www.wikidata.org/wiki/Q124131","display_name":"Superconductivity","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1215/00294527-2008-028","is_oa":true,"landing_page_url":"https://doi.org/10.1215/00294527-2008-028","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-50/issue-1/Growing-Commas-A-Study-of-Sequentiality-and-Concatenation/10.1215/00294527-2008-028.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.ndjfl/1232375163","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.ndjfl/1232375163","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:CiteSeerX.psu:10.1.1.154.4224","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.154.4224","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.phil.uu.nl/preprints/preprints/PREPRINTS/preprint257.pdf","raw_type":"text"},{"id":"pmh:oai:dspace.library.uu.nl:1874/26719","is_oa":true,"landing_page_url":"http://dspace.library.uu.nl:8080/handle/1874/26719","pdf_url":null,"source":{"id":"https://openalex.org/S4306401649","display_name":"Utrecht University Repository (Utrecht University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193662353","host_organization_name":"Utrecht University","host_organization_lineage":["https://openalex.org/I193662353"],"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":"","raw_type":"Preprint"},{"id":"pmh:uu:oai:dspace.library.uu.nl:1874/26719","is_oa":true,"landing_page_url":"https://dspace.library.uu.nl/handle/1874/26719","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"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":"Logic Group Preprint Series, 257","raw_type":"info:eu-repo/semantics/preprint"}],"best_oa_location":{"id":"doi:10.1215/00294527-2008-028","is_oa":true,"landing_page_url":"https://doi.org/10.1215/00294527-2008-028","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-50/issue-1/Growing-Commas-A-Study-of-Sequentiality-and-Concatenation/10.1215/00294527-2008-028.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Zero hunger","id":"https://metadata.un.org/sdg/2","score":0.5899999737739563}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1924662284.pdf","grobid_xml":"https://content.openalex.org/works/W1924662284.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W313543351","https://openalex.org/W1494252898","https://openalex.org/W1494745377","https://openalex.org/W1517495326","https://openalex.org/W1549118152","https://openalex.org/W1572451808","https://openalex.org/W1962276536","https://openalex.org/W1975061069","https://openalex.org/W2009263768","https://openalex.org/W2009558863","https://openalex.org/W2032467105","https://openalex.org/W2035476945","https://openalex.org/W2052127763","https://openalex.org/W2062842033","https://openalex.org/W2077162222","https://openalex.org/W2079956582","https://openalex.org/W2128026324","https://openalex.org/W2169685450","https://openalex.org/W2312491504","https://openalex.org/W2330907934","https://openalex.org/W2403653109","https://openalex.org/W2492590561","https://openalex.org/W2576868155","https://openalex.org/W4212913921","https://openalex.org/W4235531587","https://openalex.org/W4239914544","https://openalex.org/W4247016654","https://openalex.org/W4247203646","https://openalex.org/W4251260938"],"related_works":["https://openalex.org/W2079956582","https://openalex.org/W2076609932"],"abstract_inverted_index":{"In":[0],"his":[1],"paper":[2],"\"Undecidability":[3],"without":[4],"arithmetization,\"":[5],"Andrzej":[6],"Grzegorczyk":[7],"introduces":[8],"a":[9,27,38],"theory":[10],"of":[11,30],"concatenation":[12],"TC":[13,23,31],".":[14,24],"We":[15,25],"show":[16],"that":[17,32,35],"pairing":[18],"is":[19,33],"not":[20],"definable":[21],"in":[22],"determine":[26],"reasonable":[28],"extension":[29],"sequential,":[34],"is,":[36],"has":[37],"good":[39],"sequence":[40],"coding.":[41]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}