{"id":"https://openalex.org/W2168715068","doi":"https://doi.org/10.1093/jigpal/jzp029","title":"Independence-friendly cylindric set algebras","display_name":"Independence-friendly cylindric set algebras","publication_year":2009,"publication_date":"2009-08-04","ids":{"openalex":"https://openalex.org/W2168715068","doi":"https://doi.org/10.1093/jigpal/jzp029","mag":"2168715068"},"language":"en","primary_location":{"id":"doi:10.1093/jigpal/jzp029","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzp029","pdf_url":null,"source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of IGPL","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/0711.4376","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019070416","display_name":"Allen L. Mann","orcid":"https://orcid.org/0000-0003-3479-6476"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210117977","display_name":"Institut d'Histoire et de Philosophie des Sciences et des Techniques","ror":"https://ror.org/02nnpw434","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2746051580","https://openalex.org/I29607241","https://openalex.org/I4210117977","https://openalex.org/I4210150854","https://openalex.org/I51101395"]},{"id":"https://openalex.org/I51101395","display_name":"Universit\u00e9 Paris 1 Panth\u00e9on-Sorbonne","ror":"https://ror.org/002t25c44","country_code":"FR","type":"education","lineage":["https://openalex.org/I51101395"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"A. L. Mann","raw_affiliation_strings":["IHPST (Paris 1/CNRS/ENS), 13 rue du Four, 75006 Paris, France.E-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IHPST (Paris 1/CNRS/ENS), 13 rue du Four, 75006 Paris, France.E-mail:","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210117977","https://openalex.org/I51101395"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5019070416"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210117977","https://openalex.org/I51101395"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.9625,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.776332,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"17","issue":"6","first_page":"719","last_page":"754"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9988999962806702,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9952999949455261,"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/independence","display_name":"Independence (probability theory)","score":0.6798962354660034},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5107848644256592},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4288387596607208},{"id":"https://openalex.org/keywords/library-science","display_name":"Library science","score":0.33773747086524963},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.19062262773513794},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17262223362922668}],"concepts":[{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.6798962354660034},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5107848644256592},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4288387596607208},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.33773747086524963},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.19062262773513794},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17262223362922668},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1093/jigpal/jzp029","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzp029","pdf_url":null,"source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of IGPL","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:0711.4376","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0711.4376","pdf_url":"https://arxiv.org/pdf/0711.4376","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"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":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.746.1863","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.746.1863","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/0711.4376.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:0711.4376","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0711.4376","pdf_url":"https://arxiv.org/pdf/0711.4376","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W582265660","https://openalex.org/W1518348874","https://openalex.org/W1522783060","https://openalex.org/W1548835575","https://openalex.org/W1741508137","https://openalex.org/W1948516912","https://openalex.org/W1990514682","https://openalex.org/W2023648368","https://openalex.org/W2050527500","https://openalex.org/W2053013736","https://openalex.org/W2061271212","https://openalex.org/W2069397469","https://openalex.org/W2070509093","https://openalex.org/W2073721756","https://openalex.org/W2083018613","https://openalex.org/W2099602798","https://openalex.org/W2108163838","https://openalex.org/W2109696340","https://openalex.org/W2155706226","https://openalex.org/W2164297607","https://openalex.org/W2165661406"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W3125750421","https://openalex.org/W2382290278","https://openalex.org/W4391913857","https://openalex.org/W2350741829"],"abstract_inverted_index":{"Independence-friendly":[0],"logic":[1,8,29,38,51],"is":[2,46,55,118],"a":[3,25,79,129,159],"conservative":[4],"extension":[5],"of":[6,27,49,58,89,97,105,108,140,151,164,170],"first-order":[7,59],"that":[9,43,111],"has":[10,81,131],"the":[11,40,47,56,87,95,102,106,138,149,168],"same":[12,41],"expressive":[13],"power":[14],"as":[15],"existential":[16],"second-order":[17],"logic.":[18,32,60],"In":[19],"her":[20],"Ph.D.":[21],"thesis,":[22],"Dechesne":[23],"introduces":[24],"variant":[26],"independence-friendly":[28,63,74,114,124],"called":[30],"IFG":[31,37],"We":[33,61],"attempt":[34],"to":[35],"algebraize":[36],"in":[39],"way":[42],"Boolean":[44],"algebra":[45,48,54,57,77,117,127],"propositional":[50],"and":[52,67],"cylindric":[53,64,75,115,125],"define":[62],"set":[65,76,116,126],"algebras":[66,93,110,145,167,174],"prove":[68],"two":[69],"main":[70],"results.":[71],"First,":[72],"every":[73,122],"over":[78,128],"structure":[80,130],"an":[82,113,132],"underlying":[83,91,133,142],"Kleene":[84,92,99,109,135,144,154,166,173],"algebra.":[85,136],"Moreover,":[86],"class":[88,107,139,169],"such":[90,141,171],"generates":[94],"variety":[96,150],"all":[98,152],"algebras.":[100,155],"Hence":[101],"equational":[103],"theory":[104],"underly":[112],"finitely":[119],"axiomatizable.":[120],"Second,":[121],"one-dimensional":[123],"monadic":[134,143,153,165,172],"However,":[137],"does":[146,175],"not":[147],"generate":[148],"Finally,":[156],"we":[157],"offer":[158],"conjecture":[160],"about":[161],"which":[162],"subvariety":[163],"generate.":[176]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-08T01:25:22.217667","created_date":"2025-10-10T00:00:00"}