{"id":"https://openalex.org/W3128101734","doi":"https://doi.org/10.1017/jsl.2021.7","title":"TWO-VARIABLE LOGIC HAS WEAK, BUT NOT STRONG, BETH DEFINABILITY","display_name":"TWO-VARIABLE LOGIC HAS WEAK, BUT NOT STRONG, BETH DEFINABILITY","publication_year":2021,"publication_date":"2021-02-01","ids":{"openalex":"https://openalex.org/W3128101734","doi":"https://doi.org/10.1017/jsl.2021.7","mag":"3128101734"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1017/jsl.2021.7","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_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://arxiv.org/pdf/2010.00901","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080876991","display_name":"Hajnal Andr\u00e9ka","orcid":"https://orcid.org/0000-0002-7327-4702"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"HAJNAL ANDR\u00c9KA","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5003820161","display_name":"Istv\u00e1n N\u00e9meti","orcid":"https://orcid.org/0000-0003-3023-0192"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"ISTV\u00c1N N\u00c9METI","raw_affiliation_strings":[],"affiliations":[]}],"institution_assertions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.13,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":2,"citation_normalized_percentile":{"value":0.327151,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":67,"max":72},"biblio":{"volume":"86","issue":"2","first_page":"785","last_page":"800"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9997,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9997,"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":0.9995,"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"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9986,"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/fragment","display_name":"Fragment (logic)","score":0.77983886}],"concepts":[{"id":"https://openalex.org/C2776235265","wikidata":"https://www.wikidata.org/wiki/Q18392052","display_name":"Fragment (logic)","level":2,"score":0.77983886},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.66985476},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.58370143},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5073466},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35659808},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18801412},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.14953417},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08867997},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.07552135}],"mesh":[],"locations_count":4,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1017/jsl.2021.7","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_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2010.00901","pdf_url":"http://arxiv.org/pdf/2010.00901","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2010.00901","pdf_url":"https://arxiv.org/pdf/2010.00901","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://api.datacite.org/dois/10.48550/arxiv.2010.00901","pdf_url":null,"source":{"id":"https://openalex.org/S4393179698","display_name":"DataCite API","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I4210145204","host_organization_name":"DataCite","host_organization_lineage":["https://openalex.org/I4210145204"],"host_organization_lineage_names":["DataCite"],"type":"metadata"},"license":null,"license_id":null,"version":null}],"best_oa_location":{"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2010.00901","pdf_url":"http://arxiv.org/pdf/2010.00901","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":["https://openalex.org/W3110318330","https://openalex.org/W3128101734"],"referenced_works_count":33,"referenced_works":["https://openalex.org/W1505529313","https://openalex.org/W1557206079","https://openalex.org/W1580101121","https://openalex.org/W1586898263","https://openalex.org/W1791238186","https://openalex.org/W1922936597","https://openalex.org/W1993001926","https://openalex.org/W2017057265","https://openalex.org/W2018944629","https://openalex.org/W2035012398","https://openalex.org/W2044340169","https://openalex.org/W2050945221","https://openalex.org/W2075570681","https://openalex.org/W2084862672","https://openalex.org/W2089615766","https://openalex.org/W2092043065","https://openalex.org/W2153036557","https://openalex.org/W2153950846","https://openalex.org/W2161461080","https://openalex.org/W2173945384","https://openalex.org/W251225716","https://openalex.org/W2799061192","https://openalex.org/W2810258276","https://openalex.org/W2906231331","https://openalex.org/W2985068092","https://openalex.org/W3101714668","https://openalex.org/W4211034768","https://openalex.org/W4236573881","https://openalex.org/W4248037667","https://openalex.org/W4248678148","https://openalex.org/W4252113473","https://openalex.org/W4302611983","https://openalex.org/W97833618"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4253208712","https://openalex.org/W31439402","https://openalex.org/W3132641048","https://openalex.org/W2984753899","https://openalex.org/W2805502594","https://openalex.org/W2525971763","https://openalex.org/W2217679042","https://openalex.org/W1973480752","https://openalex.org/W1603677234"],"abstract_inverted_index":{"We":[0],"prove":[1],"that":[2],"the":[3,10,17,24,27,36],"two-variable":[4,18],"fragment":[5,19],"of":[6],"first-order":[7],"logic":[8,22],"has":[9],"weak":[11,25],"Beth":[12,29,38],"definability":[13,39],"property.":[14,40],"This":[15],"makes":[16],"a":[20],"natural":[21],"separating":[23],"and":[26],"strong":[28,37],"properties":[30],"since":[31],"it":[32],"does":[33],"not":[34],"have":[35]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W3128101734","counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-01-20T14:14:34.357106","created_date":"2021-02-15"}