{"id":"https://openalex.org/W2015941054","doi":"https://doi.org/10.1007/s00153-005-0326-7","title":"A computably stable structure with no Scott family of finitary formulas","display_name":"A computably stable structure with no Scott family of finitary formulas","publication_year":2005,"publication_date":"2005-11-10","ids":{"openalex":"https://openalex.org/W2015941054","doi":"https://doi.org/10.1007/s00153-005-0326-7","mag":"2015941054"},"language":"en","primary_location":{"id":"doi:10.1007/s00153-005-0326-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-005-0326-7","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/A5062882161","display_name":"Peter Cholak","orcid":null},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Peter Cholak","raw_affiliation_strings":["Department of Mathematics, University of Notre Dame, Indiana, In, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Notre Dame, Indiana, In, USA","institution_ids":["https://openalex.org/I107639228"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041739806","display_name":"Richard A. Shore","orcid":"https://orcid.org/0000-0003-0381-5259"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Richard A. Shore","raw_affiliation_strings":["Department of Mathematics, Cornell University, Ithaca, NY, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Cornell University, Ithaca, NY, USA","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072805118","display_name":"Reed Solomon","orcid":"https://orcid.org/0000-0001-7574-204X"},"institutions":[{"id":"https://openalex.org/I140172145","display_name":"University of Connecticut","ror":"https://ror.org/02der9h97","country_code":"US","type":"education","lineage":["https://openalex.org/I140172145"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Reed Solomon","raw_affiliation_strings":["Department of Mathematics, University of Connecticut, Storrs, CT, 6269-3009, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Connecticut, Storrs, CT, 6269-3009, USA","institution_ids":["https://openalex.org/I140172145"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5062882161"],"corresponding_institution_ids":["https://openalex.org/I107639228"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.01,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.76742512,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"45","issue":"5","first_page":"519","last_page":"538"},"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":0.9945999979972839,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9894000291824341,"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/mathematics","display_name":"Mathematics","score":0.8988016843795776},{"id":"https://openalex.org/keywords/finitary","display_name":"Finitary","score":0.8949973583221436},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.6654981970787048},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5521091222763062},{"id":"https://openalex.org/keywords/halting-problem","display_name":"Halting problem","score":0.4418891370296478},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.41431349515914917},{"id":"https://openalex.org/keywords/turing-machine","display_name":"Turing machine","score":0.16348755359649658}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8988016843795776},{"id":"https://openalex.org/C2778003309","wikidata":"https://www.wikidata.org/wiki/Q5450381","display_name":"Finitary","level":2,"score":0.8949973583221436},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.6654981970787048},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5521091222763062},{"id":"https://openalex.org/C137343475","wikidata":"https://www.wikidata.org/wiki/Q622849","display_name":"Halting problem","level":4,"score":0.4418891370296478},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.41431349515914917},{"id":"https://openalex.org/C29248071","wikidata":"https://www.wikidata.org/wiki/Q163310","display_name":"Turing machine","level":3,"score":0.16348755359649658},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00153-005-0326-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-005-0326-7","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:10.1.1.364.9133","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.364.9133","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.uconn.edu/~solomon/research/noscott.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1026721552","https://openalex.org/W1499179478","https://openalex.org/W1550394161","https://openalex.org/W1976089169","https://openalex.org/W1988958321","https://openalex.org/W1992539853","https://openalex.org/W2022832716","https://openalex.org/W2025254909","https://openalex.org/W2039687554","https://openalex.org/W2044797614","https://openalex.org/W2056414301","https://openalex.org/W2057971007","https://openalex.org/W2096515662","https://openalex.org/W4232277851"],"related_works":["https://openalex.org/W2976590292","https://openalex.org/W2998018080","https://openalex.org/W2541640833","https://openalex.org/W4206367340","https://openalex.org/W1606946808","https://openalex.org/W2317946804","https://openalex.org/W4292457696","https://openalex.org/W4229716168","https://openalex.org/W2083648745","https://openalex.org/W2949199486"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
