{"id":"https://openalex.org/W2605728087","doi":"https://doi.org/10.1215/00294527-2019-0033","title":"Questions and Dependency in Intuitionistic Logic","display_name":"Questions and Dependency in Intuitionistic Logic","publication_year":2019,"publication_date":"2019-12-18","ids":{"openalex":"https://openalex.org/W2605728087","doi":"https://doi.org/10.1215/00294527-2019-0033","mag":"2605728087"},"language":"en","primary_location":{"id":"doi:10.1215/00294527-2019-0033","is_oa":true,"landing_page_url":"https://doi.org/10.1215/00294527-2019-0033","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-61/issue-1/Questions-and-Dependency-in-Intuitionistic-Logic/10.1215/00294527-2019-0033.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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-61/issue-1/Questions-and-Dependency-in-Intuitionistic-Logic/10.1215/00294527-2019-0033.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057421445","display_name":"Ivano Ciardelli","orcid":"https://orcid.org/0000-0001-6152-3401"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ivano Ciardelli","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087051979","display_name":"Rosalie Iemhoff","orcid":"https://orcid.org/0000-0001-9975-9604"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rosalie Iemhoff","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5057242245","display_name":"Fan Yang","orcid":"https://orcid.org/0000-0003-0392-6522"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fan Yang","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5057421445"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8786,"has_fulltext":true,"cited_by_count":24,"citation_normalized_percentile":{"value":0.89126786,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"61","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9998000264167786,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9984999895095825,"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":0.996999979019165,"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/intuitionistic-logic","display_name":"Intuitionistic logic","score":0.7732949256896973},{"id":"https://openalex.org/keywords/intermediate-logic","display_name":"Intermediate logic","score":0.7372534871101379},{"id":"https://openalex.org/keywords/many-valued-logic","display_name":"Many-valued logic","score":0.6518393754959106},{"id":"https://openalex.org/keywords/multimodal-logic","display_name":"Multimodal logic","score":0.6187927722930908},{"id":"https://openalex.org/keywords/dynamic-logic","display_name":"Dynamic logic (digital electronics)","score":0.5739890336990356},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.5572331547737122},{"id":"https://openalex.org/keywords/philosophy-of-logic","display_name":"Philosophy of logic","score":0.5404274463653564},{"id":"https://openalex.org/keywords/minimal-logic","display_name":"Minimal logic","score":0.5319709181785583},{"id":"https://openalex.org/keywords/higher-order-logic","display_name":"Higher-order logic","score":0.463304340839386},{"id":"https://openalex.org/keywords/predicate-logic","display_name":"Predicate logic","score":0.46287965774536133},{"id":"https://openalex.org/keywords/dependency","display_name":"Dependency (UML)","score":0.4445742070674896},{"id":"https://openalex.org/keywords/autoepistemic-logic","display_name":"Autoepistemic logic","score":0.432546466588974},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42976847290992737},{"id":"https://openalex.org/keywords/scope","display_name":"Scope (computer science)","score":0.41322508454322815},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3983045220375061},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3915654420852661},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36372944712638855},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.3589073717594147},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2933114171028137},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.29189249873161316},{"id":"https://openalex.org/keywords/zeroth-order-logic","display_name":"Zeroth-order logic","score":0.2889077365398407},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23900693655014038},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.20840585231781006},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.20388999581336975},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18857717514038086},{"id":"https://openalex.org/keywords/linear-logic","display_name":"Linear logic","score":0.14192569255828857},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.05828160047531128}],"concepts":[{"id":"https://openalex.org/C178421362","wikidata":"https://www.wikidata.org/wiki/Q176786","display_name":"Intuitionistic logic","level":3,"score":0.7732949256896973},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.7372534871101379},{"id":"https://openalex.org/C150889026","wikidata":"https://www.wikidata.org/wiki/Q185502","display_name":"Many-valued logic","level":3,"score":0.6518393754959106},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.6187927722930908},{"id":"https://openalex.org/C2777796570","wikidata":"https://www.wikidata.org/wiki/Q2351326","display_name":"Dynamic logic (digital electronics)","level":4,"score":0.5739890336990356},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.5572331547737122},{"id":"https://openalex.org/C101874905","wikidata":"https://www.wikidata.org/wiki/Q2476757","display_name":"Philosophy of logic","level":2,"score":0.5404274463653564},{"id":"https://openalex.org/C171482190","wikidata":"https://www.wikidata.org/wiki/Q3257974","display_name":"Minimal logic","level":5,"score":0.5319709181785583},{"id":"https://openalex.org/C169896238","wikidata":"https://www.wikidata.org/wiki/Q1644136","display_name":"Higher-order logic","level":3,"score":0.463304340839386},{"id":"https://openalex.org/C19689857","wikidata":"https://www.wikidata.org/wiki/Q4055684","display_name":"Predicate logic","level":3,"score":0.46287965774536133},{"id":"https://openalex.org/C19768560","wikidata":"https://www.wikidata.org/wiki/Q320727","display_name":"Dependency (UML)","level":2,"score":0.4445742070674896},{"id":"https://openalex.org/C3845977","wikidata":"https://www.wikidata.org/wiki/Q4826262","display_name":"Autoepistemic logic","level":4,"score":0.432546466588974},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42976847290992737},{"id":"https://openalex.org/C2778012447","wikidata":"https://www.wikidata.org/wiki/Q1034415","display_name":"Scope (computer science)","level":2,"score":0.41322508454322815},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3983045220375061},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3915654420852661},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36372944712638855},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.3589073717594147},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2933114171028137},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.29189249873161316},{"id":"https://openalex.org/C110039528","wikidata":"https://www.wikidata.org/wiki/Q8069651","display_name":"Zeroth-order logic","level":4,"score":0.2889077365398407},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23900693655014038},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.20840585231781006},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.20388999581336975},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18857717514038086},{"id":"https://openalex.org/C28077239","wikidata":"https://www.wikidata.org/wiki/Q841728","display_name":"Linear logic","level":2,"score":0.14192569255828857},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.05828160047531128},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C172385210","wikidata":"https://www.wikidata.org/wiki/Q5339","display_name":"Transistor","level":3,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1215/00294527-2019-0033","is_oa":true,"landing_page_url":"https://doi.org/10.1215/00294527-2019-0033","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-61/issue-1/Questions-and-Dependency-in-Intuitionistic-Logic/10.1215/00294527-2019-0033.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:arXiv.org:1704.01866","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1704.01866","pdf_url":"https://arxiv.org/pdf/1704.01866","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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:CULeuclid:euclid.ndjfl/1576638403","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.ndjfl/1576638403","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:tudelft.nl:uuid:613c26ff-c078-4bc6-8d35-f4c2dcc945c6","is_oa":false,"landing_page_url":"http://resolver.tudelft.nl/uuid:613c26ff-c078-4bc6-8d35-f4c2dcc945c6","pdf_url":null,"source":{"id":"https://openalex.org/S4306400906","display_name":"Research Repository (Delft University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I98358874","host_organization_name":"Delft University of Technology","host_organization_lineage":["https://openalex.org/I98358874"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"journal article"},{"id":"pmh:oai:www.research.unipd.it:11577/3453987","is_oa":true,"landing_page_url":"https://hdl.handle.net/11577/3453987","pdf_url":null,"source":{"id":"https://openalex.org/S4377196283","display_name":"Research Padua  Archive (University of Padua)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:uu:oai:dspace.library.uu.nl:1874/394072","is_oa":false,"landing_page_url":"https://dspace.library.uu.nl/handle/1874/394072","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"The Notre Dame Journal of Formal Logic, 61(1), 75","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1215/00294527-2019-0033","is_oa":true,"landing_page_url":"https://doi.org/10.1215/00294527-2019-0033","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-61/issue-1/Questions-and-Dependency-in-Intuitionistic-Logic/10.1215/00294527-2019-0033.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":0.4300000071525574}],"awards":[{"id":"https://openalex.org/G575407937","display_name":null,"funder_award_id":"639.073.807","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2605728087.pdf","grobid_xml":"https://content.openalex.org/works/W2605728087.grobid-xml"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W43035074","https://openalex.org/W83792636","https://openalex.org/W153808227","https://openalex.org/W582265660","https://openalex.org/W746096078","https://openalex.org/W1417958065","https://openalex.org/W1497136262","https://openalex.org/W1765233549","https://openalex.org/W1840895235","https://openalex.org/W1926269500","https://openalex.org/W1949131956","https://openalex.org/W1992261874","https://openalex.org/W2001792476","https://openalex.org/W2034690236","https://openalex.org/W2070897406","https://openalex.org/W2127394739","https://openalex.org/W2144561707","https://openalex.org/W2153017713","https://openalex.org/W2285760602","https://openalex.org/W2286396437","https://openalex.org/W2295298616","https://openalex.org/W2395079339","https://openalex.org/W2405405439","https://openalex.org/W2441642482","https://openalex.org/W2461489562","https://openalex.org/W2477965023","https://openalex.org/W2498531142","https://openalex.org/W2526811196","https://openalex.org/W2531526914","https://openalex.org/W2738129721","https://openalex.org/W2913428631","https://openalex.org/W2962879154","https://openalex.org/W2970205057","https://openalex.org/W3092653590","https://openalex.org/W3102666511","https://openalex.org/W3106293991","https://openalex.org/W3141979082","https://openalex.org/W3188716551","https://openalex.org/W4252380885","https://openalex.org/W4388311772"],"related_works":["https://openalex.org/W582265660","https://openalex.org/W4252380885","https://openalex.org/W4319989613","https://openalex.org/W2275267460","https://openalex.org/W103897470","https://openalex.org/W2268189978","https://openalex.org/W1652051049","https://openalex.org/W1485474850","https://openalex.org/W1522769018","https://openalex.org/W1760954332"],"abstract_inverted_index":{"In":[0,46],"recent":[1],"years,":[2],"the":[3,13,30,51,62],"logic":[4,19,28,32,83,90,118],"of":[5,17,33,53,64,88,100],"questions":[6,39,58,92],"and":[7,20,35,40,59,93,113,119],"dependencies":[8,41],"has":[9],"been":[10],"investigated":[11],"in":[12,61],"closely":[14],"related":[15],"frameworks":[16],"inquisitive":[18,117],"dependence":[21,94,121],"logic.":[22,66,122],"These":[23],"investigations":[24,55],"have":[25],"assumed":[26],"classical":[27,44,116],"as":[29],"background":[31],"statements,":[34],"added":[36],"formulas":[37],"expressing":[38],"to":[42,115],"this":[43,47,103],"core.":[45],"paper,":[48],"we":[49],"broaden":[50],"scope":[52],"these":[54],"by":[56],"studying":[57],"dependency":[60],"context":[63],"intuitionistic":[65,70,78,89],"We":[67,96],"propose":[68],"an":[69],"team":[71],"semantics,":[72],"where":[73],"teams":[74],"are":[75],"embedded":[76],"within":[77],"Kripke":[79],"models.":[80],"The":[81],"associated":[82],"is":[84],"a":[85,98,106,110],"conservative":[86],"extension":[87],"with":[91],"formulas.":[95],"establish":[97],"number":[99],"results":[101],"about":[102],"logic,":[104],"including":[105],"normal":[107],"form":[108],"result,":[109,112],"completeness":[111],"translations":[114],"modal":[120]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}