{"id":"https://openalex.org/W3041304905","doi":"https://doi.org/10.1007/s00153-020-00741-8","title":"A note on uniform density in weak arithmetical theories","display_name":"A note on uniform density in weak arithmetical theories","publication_year":2020,"publication_date":"2020-07-07","ids":{"openalex":"https://openalex.org/W3041304905","doi":"https://doi.org/10.1007/s00153-020-00741-8","mag":"3041304905"},"language":"en","primary_location":{"id":"doi:10.1007/s00153-020-00741-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-020-00741-8","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/A5074075460","display_name":"Duccio Pianigiani","orcid":"https://orcid.org/0000-0001-9441-7226"},"institutions":[{"id":"https://openalex.org/I102064193","display_name":"University of Siena","ror":"https://ror.org/01tevnk56","country_code":"IT","type":"education","lineage":["https://openalex.org/I102064193"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Duccio Pianigiani","raw_affiliation_strings":["Dipartimento di Ingegneria dell\u2019Informazione e Scienze Matematiche, Universit\u00e0 di Siena, 53100, Siena, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria dell\u2019Informazione e Scienze Matematiche, Universit\u00e0 di Siena, 53100, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068865870","display_name":"Andrea Sorbi","orcid":"https://orcid.org/0000-0001-9288-3290"},"institutions":[{"id":"https://openalex.org/I102064193","display_name":"University of Siena","ror":"https://ror.org/01tevnk56","country_code":"IT","type":"education","lineage":["https://openalex.org/I102064193"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Andrea Sorbi","raw_affiliation_strings":["Dipartimento di Ingegneria dell\u2019Informazione e Scienze Matematiche, Universit\u00e0 di Siena, 53100, Siena, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria dell\u2019Informazione e Scienze Matematiche, Universit\u00e0 di Siena, 53100, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074075460"],"corresponding_institution_ids":["https://openalex.org/I102064193"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.1444,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.52582003,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"60","issue":"1-2","first_page":"211","last_page":"225"},"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":0.9966999888420105,"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":0.9929999709129333,"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/arithmetic-function","display_name":"Arithmetic function","score":0.929874062538147},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.797140896320343},{"id":"https://openalex.org/keywords/recursively-enumerable-language","display_name":"Recursively enumerable language","score":0.6084420680999756},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5741744041442871},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5401981472969055},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5009627342224121},{"id":"https://openalex.org/keywords/sigma","display_name":"Sigma","score":0.45661279559135437},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4214060306549072},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3497648239135742},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.128225177526474},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07797601819038391}],"concepts":[{"id":"https://openalex.org/C112343008","wikidata":"https://www.wikidata.org/wiki/Q140744","display_name":"Arithmetic function","level":2,"score":0.929874062538147},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.797140896320343},{"id":"https://openalex.org/C203702658","wikidata":"https://www.wikidata.org/wiki/Q1073063","display_name":"Recursively enumerable language","level":2,"score":0.6084420680999756},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5741744041442871},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5401981472969055},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5009627342224121},{"id":"https://openalex.org/C2778049214","wikidata":"https://www.wikidata.org/wiki/Q7512234","display_name":"Sigma","level":2,"score":0.45661279559135437},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4214060306549072},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3497648239135742},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.128225177526474},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07797601819038391},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00153-020-00741-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-020-00741-8","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:usiena-air.unisi.it:11365/1113099","is_oa":false,"landing_page_url":"http://hdl.handle.net/11365/1113099","pdf_url":null,"source":{"id":"https://openalex.org/S4377196319","display_name":"Use Siena air (University of Siena)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102064193","host_organization_name":"University of Siena","host_organization_lineage":["https://openalex.org/I102064193"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.41999998688697815,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W12643429","https://openalex.org/W1572451808","https://openalex.org/W1607926272","https://openalex.org/W1992569381","https://openalex.org/W2016116596","https://openalex.org/W2021745396","https://openalex.org/W2035299084","https://openalex.org/W2050152670","https://openalex.org/W2084753590","https://openalex.org/W2530006810","https://openalex.org/W2602978754","https://openalex.org/W2905135108","https://openalex.org/W2911139227","https://openalex.org/W2914888325","https://openalex.org/W3101304573","https://openalex.org/W3105083080","https://openalex.org/W4248733413"],"related_works":["https://openalex.org/W2000071592","https://openalex.org/W1660676450","https://openalex.org/W1586473494","https://openalex.org/W2382181079","https://openalex.org/W2072965782","https://openalex.org/W2125955092","https://openalex.org/W2132512348","https://openalex.org/W2119550093","https://openalex.org/W582971654","https://openalex.org/W2861978802"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
