{"id":"https://openalex.org/W2003123666","doi":"https://doi.org/10.1002/malq.19920380104","title":"RECONSTRUCTION OF BINARY RELATIONS FROM THEIR RESTRICTIONS OF CARDINALITY 2, 3, 4 and (<i>n</i> \u2010 1) I","display_name":"RECONSTRUCTION OF BINARY RELATIONS FROM THEIR RESTRICTIONS OF CARDINALITY 2, 3, 4 and (<i>n</i> \u2010 1) I","publication_year":1992,"publication_date":"1992-01-01","ids":{"openalex":"https://openalex.org/W2003123666","doi":"https://doi.org/10.1002/malq.19920380104","mag":"2003123666"},"language":"en","primary_location":{"id":"doi:10.1002/malq.19920380104","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19920380104","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","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/A5085215560","display_name":"G\u00e9rard Lopez","orcid":"https://orcid.org/0000-0002-3152-3360"},"institutions":[{"id":"https://openalex.org/I4210136988","display_name":"D\u00e9l\u00e9gation Provence et Corse","ror":"https://ror.org/049qgqg40","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210136988","https://openalex.org/I4210139971"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"G\u00e9rard Lopez","raw_affiliation_strings":["Universite\u0301 de Provence 3, place V. Hugo Marseille 13001 France","Universit\u00e9 de Provence 3, place V. Hugo Marseille 13001 France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universite\u0301 de Provence 3, place V. Hugo Marseille 13001 France","institution_ids":["https://openalex.org/I4210136988"]},{"raw_affiliation_string":"Universit\u00e9 de Provence 3, place V. Hugo Marseille 13001 France","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081576534","display_name":"Claire Rauzy","orcid":null},"institutions":[{"id":"https://openalex.org/I4210136988","display_name":"D\u00e9l\u00e9gation Provence et Corse","ror":"https://ror.org/049qgqg40","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210136988","https://openalex.org/I4210139971"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Claire Rauzy","raw_affiliation_strings":["Universite\u0301 de Provence 3, place V. Hugo Marseille 13001 France","Universit\u00e9 de Provence 3, place V. Hugo Marseille 13001 France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universite\u0301 de Provence 3, place V. Hugo Marseille 13001 France","institution_ids":["https://openalex.org/I4210136988"]},{"raw_affiliation_string":"Universit\u00e9 de Provence 3, place V. Hugo Marseille 13001 France","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210136988"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":0.4782,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.61413436,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"38","issue":"1","first_page":"27","last_page":"37"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9980999827384949,"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":0.9980999827384949,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9671000242233276,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9657999873161316,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.9539019465446472},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.847144365310669},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7369036674499512},{"id":"https://openalex.org/keywords/binary-relation","display_name":"Binary relation","score":0.7217211723327637},{"id":"https://openalex.org/keywords/base","display_name":"Base (topology)","score":0.658139705657959},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.544920802116394},{"id":"https://openalex.org/keywords/cardinal-number","display_name":"Cardinal number (linguistics)","score":0.5428512096405029},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.502774715423584},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4642515778541565},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1505093276500702},{"id":"https://openalex.org/keywords/database","display_name":"Database","score":0.05734476447105408},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.05321720242500305}],"concepts":[{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.9539019465446472},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.847144365310669},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7369036674499512},{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.7217211723327637},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.658139705657959},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.544920802116394},{"id":"https://openalex.org/C2778408900","wikidata":"https://www.wikidata.org/wiki/Q1329258","display_name":"Cardinal number (linguistics)","level":2,"score":0.5428512096405029},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.502774715423584},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4642515778541565},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1505093276500702},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.05734476447105408},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.05321720242500305},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.19920380104","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19920380104","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4300000071525574}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W597154949","https://openalex.org/W1533006072","https://openalex.org/W2033140251","https://openalex.org/W2060284228","https://openalex.org/W2075084424","https://openalex.org/W2160687009","https://openalex.org/W4231139853"],"related_works":["https://openalex.org/W2168299207","https://openalex.org/W4321499188","https://openalex.org/W2331093826","https://openalex.org/W1973109584","https://openalex.org/W2941284322","https://openalex.org/W1614603007","https://openalex.org/W3211313131","https://openalex.org/W2003123666","https://openalex.org/W4253128163","https://openalex.org/W4211007126"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"prove":[2,70],"that":[3,48,71],"any":[4],"binary":[5],"relation":[6],"with":[7,12,60,97],"underlying":[8],"set":[9],"(base)":[10],"E":[11,46,59,96],"cardinality":[13,23,61,98],"n":[14,29,81,104],"&gt;":[15,82],"6":[16,83],"is":[17],"reconstructible":[18],"from":[19],"its":[20],"restrictions":[21],"of":[22,58,95],"2,":[24,62,99],"3,":[25,63,100],"4":[26,101],"and":[27,39,50,73,86,102],"(":[28,103],"\u2010":[30,105],"1).":[31,106],"In":[32,65],"part":[33,66],"I":[34],"we":[35,68],"characterize":[36],"relations":[37],"R":[38,40,72,74],"'":[41,75,88],"on":[42],"the":[43],"same":[44],"base":[45],"such":[47],"R/X":[49,85,87],"R'/X":[51],"are":[52,76,89],"isomorphic":[53,77,90],"for":[54,91],"every":[55,92],"subset":[56,93],"X":[57,94],"4.":[64],"II":[67],"shall":[69],"as":[78,80],"soon":[79],"when":[84]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":6}],"updated_date":"2026-06-23T06:36:01.041984","created_date":"2025-10-10T00:00:00"}
