{"id":"https://openalex.org/W1974655024","doi":"https://doi.org/10.2178/jsl/1203350778","title":"Stable definability and generic relations","display_name":"Stable definability and generic relations","publication_year":2007,"publication_date":"2007-12-01","ids":{"openalex":"https://openalex.org/W1974655024","doi":"https://doi.org/10.2178/jsl/1203350778","mag":"1974655024"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1203350778","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1203350778","pdf_url":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070396351","display_name":"Byunghan Kim","orcid":null},"institutions":[{"id":"https://openalex.org/I193775966","display_name":"Yonsei University","ror":"https://ror.org/01wjejq96","country_code":"KR","type":"education","lineage":["https://openalex.org/I193775966"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Byunghan Kim","raw_affiliation_strings":["Yonsei University, Department of Mathematics, 134 Shinchon-Dong, Seodaemun-Gu Seoul 120-749, Korea. E-mail:","Yonsei University, Department of Mathematics, 134 Shinchon-Dong, Seodaemun-Gu Seoul 120-749, Korea. E-mail: bkim@yonsei.ac.kr"],"affiliations":[{"raw_affiliation_string":"Yonsei University, Department of Mathematics, 134 Shinchon-Dong, Seodaemun-Gu Seoul 120-749, Korea. E-mail:","institution_ids":["https://openalex.org/I193775966"]},{"raw_affiliation_string":"Yonsei University, Department of Mathematics, 134 Shinchon-Dong, Seodaemun-Gu Seoul 120-749, Korea. E-mail: bkim@yonsei.ac.kr","institution_ids":["https://openalex.org/I193775966"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021771542","display_name":"Rahim Moosa","orcid":"https://orcid.org/0000-0002-4556-3339"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Rahim Moosa","raw_affiliation_strings":["University of Waterloo, Department of Pure Mathematics 200 University Avenue West Waterloo, Ontario N2L 3G1, Canada. E-mail:","(University of Waterloo)"],"affiliations":[{"raw_affiliation_string":"University of Waterloo, Department of Pure Mathematics 200 University Avenue West Waterloo, Ontario N2L 3G1, Canada. E-mail:","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"(University of Waterloo)","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5070396351"],"corresponding_institution_ids":["https://openalex.org/I193775966"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.07153729,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"72","issue":"4","first_page":"1163","last_page":"1176"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9728000164031982,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9628000259399414,"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/base","display_name":"Base (topology)","score":0.8072797060012817},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.702010989189148},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6943820118904114},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5259197950363159},{"id":"https://openalex.org/keywords/canonical-form","display_name":"Canonical form","score":0.492306113243103},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4358440637588501},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17200350761413574},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07666534185409546}],"concepts":[{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.8072797060012817},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.702010989189148},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6943820118904114},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5259197950363159},{"id":"https://openalex.org/C204707403","wikidata":"https://www.wikidata.org/wiki/Q1152398","display_name":"Canonical form","level":2,"score":0.492306113243103},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4358440637588501},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17200350761413574},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07666534185409546},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.2178/jsl/1203350778","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1203350778","pdf_url":null,"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/1203350778","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1203350778","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:10.1.1.295.4765","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.295.4765","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.uwaterloo.ca/~rmoosa/stabledef26march07.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.97.7928","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.97.7928","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://math.yonsei.ac.kr/bkim/preprints/stabledef.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.6299999952316284,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1425259","https://openalex.org/W606611007","https://openalex.org/W1538292722","https://openalex.org/W1996612994","https://openalex.org/W2022230269","https://openalex.org/W2029589059","https://openalex.org/W2047577730","https://openalex.org/W2050070395","https://openalex.org/W2078011342","https://openalex.org/W2154952374"],"related_works":["https://openalex.org/W1585007175","https://openalex.org/W2382521049","https://openalex.org/W2144385241","https://openalex.org/W2165950148","https://openalex.org/W4253593777","https://openalex.org/W2951497643","https://openalex.org/W4300101996","https://openalex.org/W3101625811","https://openalex.org/W2338854850","https://openalex.org/W2367390169"],"abstract_inverted_index":{"Abstract":[0],"An":[1],"amalgamation":[2,81],"base":[3,15,82,88],"p":[4,28],"in":[5,70],"a":[6,51,67,78],"simple":[7],"theory":[8,53],"is":[9,16,42,89],"stably":[10,40,62,79],"definable":[11,80],"if":[12],"its":[13],"canonical":[14,22,87],"interde-finable":[17],"with":[18,54],"the":[19,25,86],"set":[20],"of":[21,27,50,77],"parameters":[23],"for":[24,39,74],"\u03d5-definitions":[26],"as":[29],"\u03d5":[30],"ranges":[31],"through":[32],"all":[33],"stable":[34,55,93,106],"formulae.":[35],"A":[36,72],"necessary":[37],"condition":[38],"definability":[41],"given":[43],"and":[44,75],"used":[45],"to":[46,85],"produce":[47],"an":[48],"example":[49,76],"supersimple":[52],"forking":[56],"having":[57],"types":[58],"that":[59],"are":[60,95],"not":[61,90],"definable.":[63],"This":[64],"answers":[65],"negatively":[66],"question":[68],"posed":[69],"[8].":[71],"criterion":[73],"whose":[83],"restriction":[84],"axiomatised":[91],"by":[92],"formulae":[94],"also":[96],"given.":[97],"The":[98],"examples":[99],"involve":[100],"generic":[101],"relations":[102],"over":[103],"non":[104],"CM-trivial":[105],"theories.":[107]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
