{"id":"https://openalex.org/W2051631797","doi":"https://doi.org/10.1215/00294527-1715707","title":"A General Characterization of the Variable-Sharing Property by Means of Logical Matrices","display_name":"A General Characterization of the Variable-Sharing Property by Means of Logical Matrices","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2051631797","doi":"https://doi.org/10.1215/00294527-1715707","mag":"2051631797"},"language":"en","primary_location":{"id":"doi:10.1215/00294527-1715707","is_oa":true,"landing_page_url":"https://doi.org/10.1215/00294527-1715707","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-53/issue-2/A-General-Characterization-of-the-Variable-Sharing-Property-by-Means/10.1215/00294527-1715707.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-53/issue-2/A-General-Characterization-of-the-Variable-Sharing-Property-by-Means/10.1215/00294527-1715707.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056276034","display_name":"Jos\u00e9 M. M\u00e9ndez","orcid":"https://orcid.org/0000-0002-9560-3327"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jos\u00e9 M. M\u00e9ndez","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5035778877","display_name":"Gemma Robles","orcid":"https://orcid.org/0000-0001-6495-0388"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gemma Robles","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056276034"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0876,"has_fulltext":true,"cited_by_count":26,"citation_normalized_percentile":{"value":0.87152235,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"53","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.995199978351593,"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":0.995199978351593,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9550999999046326,"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":0.9351000189781189,"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/property","display_name":"Property (philosophy)","score":0.8364200592041016},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.7274882793426514},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.7166522145271301},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5008800029754639},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49138084053993225},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.47907549142837524},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41196033358573914},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.39104390144348145},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38570451736450195},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3784122169017792},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.13011646270751953},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11856347322463989},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.0906309187412262},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07909750938415527},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07502958178520203}],"concepts":[{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.8364200592041016},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.7274882793426514},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.7166522145271301},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5008800029754639},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49138084053993225},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.47907549142837524},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41196033358573914},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.39104390144348145},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38570451736450195},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3784122169017792},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.13011646270751953},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11856347322463989},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0906309187412262},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07909750938415527},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07502958178520203},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1215/00294527-1715707","is_oa":true,"landing_page_url":"https://doi.org/10.1215/00294527-1715707","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-53/issue-2/A-General-Characterization-of-the-Variable-Sharing-Property-by-Means/10.1215/00294527-1715707.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.ndjfl/1336588252","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.ndjfl/1336588252","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"}],"best_oa_location":{"id":"doi:10.1215/00294527-1715707","is_oa":true,"landing_page_url":"https://doi.org/10.1215/00294527-1715707","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-53/issue-2/A-General-Characterization-of-the-Variable-Sharing-Property-by-Means/10.1215/00294527-1715707.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.46000000834465027}],"awards":[{"id":"https://openalex.org/G816941717","display_name":null,"funder_award_id":"Ram\u00f3n y Cajal","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2051631797.pdf","grobid_xml":"https://content.openalex.org/works/W2051631797.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W33509043","https://openalex.org/W1505359507","https://openalex.org/W1989799540","https://openalex.org/W2037086476","https://openalex.org/W2112188845","https://openalex.org/W2160727829","https://openalex.org/W2738657924"],"related_works":["https://openalex.org/W3107994849","https://openalex.org/W4247143848","https://openalex.org/W2735573198","https://openalex.org/W2009883749","https://openalex.org/W29442446","https://openalex.org/W2896904446","https://openalex.org/W330727063","https://openalex.org/W1483407203","https://openalex.org/W4206825956","https://openalex.org/W2027794350"],"abstract_inverted_index":{"As":[0],"is":[1],"well":[2],"known,":[3],"the":[4,30,35,40,46,55,58,96,98],"variable-sharing":[5],"property":[6,16,52,97],"(vsp)":[7],"is,":[8],"according":[9],"to":[10,54],"Anderson":[11],"and":[12,39,57],"Belnap,":[13],"a":[14,51,75],"necessary":[15],"of":[17,29,65,74,77,92],"any":[18,83],"relevant":[19],"logic.":[20],"In":[21,44,80],"this":[22,81],"paper,":[23],"we":[24,33],"shall":[25,68],"consider":[26],"two":[27],"versions":[28],"vsp,":[31],"what":[32],"label":[34],"\"weak":[36],"vsp\"":[37,42],"(wvsp)":[38],"\"strong":[41],"(svsp).":[43],"addition,":[45],"\"no":[47],"loose":[48],"pieces":[49],"property,\"":[50],"related":[53],"wvsp":[56],"svsp,":[59],"will":[60],"be":[61,70],"defined.":[62],"Each":[63],"one":[64,91],"these":[66,93],"properties":[67],"generally":[69,100],"characterized":[71],"by":[72,86],"means":[73],"class":[76,99,109],"logical":[78],"matrices.":[79],"way,":[82],"logic":[84],"verified":[85],"an":[87],"actual":[88],"matrix":[89],"in":[90,107],"classes":[94],"has":[95],"represents.":[101],"Particular":[102],"matrices":[103],"(and":[104],"so,":[105],"logics)":[106],"each":[108],"are":[110],"provided.":[111]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3}],"updated_date":"2026-03-13T16:22:10.518609","created_date":"2025-10-10T00:00:00"}