{"id":"https://openalex.org/W3178958520","doi":"https://doi.org/10.1007/978-3-030-79876-5_12","title":"Subformula Linking for Intuitionistic Logic with Application to Type Theory","display_name":"Subformula Linking for Intuitionistic Logic with Application to Type Theory","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3178958520","doi":"https://doi.org/10.1007/978-3-030-79876-5_12","mag":"3178958520"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-79876-5_12","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-79876-5_12","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-79876-5_12.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-79876-5_12.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056733524","display_name":"Kaustuv Chaudhuri","orcid":"https://orcid.org/0000-0003-2938-547X"},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Kaustuv Chaudhuri","raw_affiliation_strings":["Inria & LIX/Ecole polytechnique, Palaiseau, France"],"affiliations":[{"raw_affiliation_string":"Inria & LIX/Ecole polytechnique, Palaiseau, France","institution_ids":["https://openalex.org/I4210139461","https://openalex.org/I142476485"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5056733524"],"corresponding_institution_ids":["https://openalex.org/I142476485","https://openalex.org/I4210139461"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":0.7174,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.70003085,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"200","last_page":"216"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998999834060669,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9998999834060669,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9945999979972839,"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/T10142","display_name":"Formal Methods in Verification","score":0.9803000092506409,"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/intuitionistic-logic","display_name":"Intuitionistic logic","score":0.7690277099609375},{"id":"https://openalex.org/keywords/type-theory","display_name":"Type theory","score":0.7446011900901794},{"id":"https://openalex.org/keywords/curry\u2013howard-correspondence","display_name":"Curry\u2013Howard correspondence","score":0.621599018573761},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5954029560089111},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5737882256507874},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.5289012789726257},{"id":"https://openalex.org/keywords/dependent-type","display_name":"Dependent type","score":0.4720143973827362},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46333423256874084},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4582279622554779},{"id":"https://openalex.org/keywords/linear-logic","display_name":"Linear logic","score":0.4433692991733551},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4384339153766632},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4245454967021942},{"id":"https://openalex.org/keywords/lambda-calculus","display_name":"Lambda calculus","score":0.19992554187774658},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08782321214675903}],"concepts":[{"id":"https://openalex.org/C178421362","wikidata":"https://www.wikidata.org/wiki/Q176786","display_name":"Intuitionistic logic","level":3,"score":0.7690277099609375},{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.7446011900901794},{"id":"https://openalex.org/C85343465","wikidata":"https://www.wikidata.org/wiki/Q975734","display_name":"Curry\u2013Howard correspondence","level":3,"score":0.621599018573761},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5954029560089111},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5737882256507874},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.5289012789726257},{"id":"https://openalex.org/C20528804","wikidata":"https://www.wikidata.org/wiki/Q997433","display_name":"Dependent type","level":3,"score":0.4720143973827362},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46333423256874084},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4582279622554779},{"id":"https://openalex.org/C28077239","wikidata":"https://www.wikidata.org/wiki/Q841728","display_name":"Linear logic","level":2,"score":0.4433692991733551},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4384339153766632},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4245454967021942},{"id":"https://openalex.org/C135790938","wikidata":"https://www.wikidata.org/wiki/Q242028","display_name":"Lambda calculus","level":2,"score":0.19992554187774658},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08782321214675903},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-030-79876-5_12","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-79876-5_12","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-79876-5_12.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:HAL:hal-03528659v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-03528659","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"CADE 2021 - 28th International Conference on Automated Deduction, Jul 2021, Pittsburgh, PA (Virtual), United States. pp.200-216, ⟨10.1007/978-3-030-79876-5_12⟩","raw_type":"Conference papers"}],"best_oa_location":{"id":"doi:10.1007/978-3-030-79876-5_12","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-79876-5_12","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-79876-5_12.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3178958520.pdf"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W64134619","https://openalex.org/W186972188","https://openalex.org/W775374114","https://openalex.org/W1494633126","https://openalex.org/W1514385560","https://openalex.org/W1528233644","https://openalex.org/W1594146612","https://openalex.org/W1678615379","https://openalex.org/W1727609483","https://openalex.org/W1961757151","https://openalex.org/W1974190112","https://openalex.org/W1989085426","https://openalex.org/W2009464583","https://openalex.org/W2026542744","https://openalex.org/W2036676170","https://openalex.org/W2070324762","https://openalex.org/W2141978322","https://openalex.org/W2151581682","https://openalex.org/W3162095174","https://openalex.org/W3183911291","https://openalex.org/W4244395836","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2166879872","https://openalex.org/W2112970627","https://openalex.org/W20138908","https://openalex.org/W1529508373","https://openalex.org/W2740609775","https://openalex.org/W2082415475","https://openalex.org/W2132734990","https://openalex.org/W3014416361","https://openalex.org/W3178958520","https://openalex.org/W2017441861"],"abstract_inverted_index":{"Abstract":[0],"Subformula":[1],"linking":[2,77,113],"is":[3,18],"an":[4],"interactive":[5],"theorem":[6],"proving":[7],"technique":[8],"that":[9,29,57],"was":[10],"initially":[11],"proposed":[12],"for":[13],"(classical)":[14],"linear":[15],"logic.":[16,92],"It":[17],"based":[19],"on":[20],"truth":[21],"and":[22],"context":[23],"preserving":[24],"rewrites":[25],"of":[26,49,90,100],"a":[27,33,58,66,96],"conjecture":[28,60],"are":[30],"triggered":[31],"by":[32,43],"user":[34],"indicating":[35],"links":[36],"between":[37],"subformulas,":[38],"which":[39],"can":[40,61],"be":[41,63],"done":[42],"direct":[44],"manipulation,":[45],"without":[46],"the":[47,87],"need":[48],"tactics":[50],"or":[51],"proof":[52],"languages.":[53],"The":[54],"system":[55],"guarantees":[56],"true":[59],"always":[62],"rewritten":[64],"to":[65,78,107,111,114],"known,":[67],"usually":[68],"trivial,":[69],"theorem.":[70],"In":[71],"this":[72,91,105],"work,":[73],"we":[74],"extend":[75,112],"subformula":[76],"intuitionistic":[79,101],"first-order":[80],"logic":[81,106],"with":[82],"simply":[83],"typed":[84],"lambda-terms":[85],"as":[86],"term":[88],"language":[89],"We":[93],"then":[94],"use":[95],"well":[97],"known":[98],"embedding":[99],"type":[102,115],"theory":[103],"into":[104],"demonstrate":[108],"one":[109],"way":[110],"theory.":[116]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}