{"id":"https://openalex.org/W4402412046","doi":"https://doi.org/10.46298/lmcs-20(3:23)2024","title":"Sharing proofs with predicative theories through universe-polymorphic elaboration","display_name":"Sharing proofs with predicative theories through universe-polymorphic elaboration","publication_year":2024,"publication_date":"2024-09-10","ids":{"openalex":"https://openalex.org/W4402412046","doi":"https://doi.org/10.46298/lmcs-20(3:23)2024"},"language":"en","primary_location":{"id":"doi:10.46298/lmcs-20(3:23)2024","is_oa":true,"landing_page_url":"http://dx.doi.org/10.46298/lmcs-20(3:23)2024","pdf_url":"https://lmcs.episciences.org/14237/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/14237/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064771103","display_name":"Thiago Felicissimo","orcid":"https://orcid.org/0009-0000-1074-9275"},"institutions":[{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Thiago Felicissimo","raw_affiliation_strings":["Universit Paris-Saclay , INRIA project Deducteam , Laboratoire Mthodes Formelles , ENS Paris- Saclay , 91190 France CA 94105 , USA , or Eisenacher Strasse 2 , 10777 Berlin , Germany"],"affiliations":[{"raw_affiliation_string":"Universit Paris-Saclay , INRIA project Deducteam , Laboratoire Mthodes Formelles , ENS Paris- Saclay , 91190 France CA 94105 , USA , or Eisenacher Strasse 2 , 10777 Berlin , Germany","institution_ids":["https://openalex.org/I277688954"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008794714","display_name":"Fr\u00e9d\u00e9ric Blanqui","orcid":"https://orcid.org/0000-0001-7438-5554"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fr\u00e9d\u00e9ric Blanqui","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5064771103"],"corresponding_institution_ids":["https://openalex.org/I277688954"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13272878,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"Volume 20, Issue 3","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10215","display_name":"Semantic Web and Ontologies","score":0.9768999814987183,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.9768999814987183,"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/T13523","display_name":"Mathematics, Computing, and Information Processing","score":0.9412999749183655,"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/T12170","display_name":"History and Theory of Mathematics","score":0.9272000193595886,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/predicative-expression","display_name":"Predicative expression","score":0.9196118116378784},{"id":"https://openalex.org/keywords/elaboration","display_name":"Elaboration","score":0.7118548154830933},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.6519893407821655},{"id":"https://openalex.org/keywords/universe","display_name":"Universe","score":0.5182844996452332},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4727790355682373},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.325298011302948},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.22558185458183289},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.18850451707839966},{"id":"https://openalex.org/keywords/astronomy","display_name":"Astronomy","score":0.13025212287902832},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12223568558692932}],"concepts":[{"id":"https://openalex.org/C129131279","wikidata":"https://www.wikidata.org/wiki/Q1931259","display_name":"Predicative expression","level":2,"score":0.9196118116378784},{"id":"https://openalex.org/C2779192218","wikidata":"https://www.wikidata.org/wiki/Q16944486","display_name":"Elaboration","level":2,"score":0.7118548154830933},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6519893407821655},{"id":"https://openalex.org/C84999194","wikidata":"https://www.wikidata.org/wiki/Q1","display_name":"Universe","level":2,"score":0.5182844996452332},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4727790355682373},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.325298011302948},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.22558185458183289},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.18850451707839966},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.13025212287902832},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12223568558692932},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C15708023","wikidata":"https://www.wikidata.org/wiki/Q80083","display_name":"Humanities","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.46298/lmcs-20(3:23)2024","is_oa":true,"landing_page_url":"http://dx.doi.org/10.46298/lmcs-20(3:23)2024","pdf_url":"https://lmcs.episciences.org/14237/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04866019v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04866019","pdf_url":"https://hal.science/hal-04866019v1/document","source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, 2024, 20 (3), &#x27E8;10.46298/lmcs-20(3:23)2024&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:doaj.org/article:114508237dd04f408a346489b4bcc6d7","is_oa":true,"landing_page_url":"https://doaj.org/article/114508237dd04f408a346489b4bcc6d7","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, Vol Volume 20, Issue 3 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.46298/lmcs-20(3:23)2024","is_oa":true,"landing_page_url":"http://dx.doi.org/10.46298/lmcs-20(3:23)2024","pdf_url":"https://lmcs.episciences.org/14237/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4402412046.pdf","grobid_xml":"https://content.openalex.org/works/W4402412046.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2166103926","https://openalex.org/W4390350639","https://openalex.org/W2393468107","https://openalex.org/W3194519741","https://openalex.org/W3037732692","https://openalex.org/W3044806169","https://openalex.org/W4297823556","https://openalex.org/W1744069003","https://openalex.org/W2354474640"],"abstract_inverted_index":{"As":[0],"the":[1,18,30,107,118,128,137,213],"development":[2],"of":[3,16,29,101,140,153,187,232],"formal":[4],"proofs":[5,21,38,72,198,231],"is":[6,11,35,56,104,121,165,186],"a":[7,68,74,91,114,150,155,159,169,174],"time-consuming":[8],"task,":[9],"it":[10,209],"important":[12],"to":[13,22,36,47,86,113,132,145,179,195,219,228],"devise":[14],"ways":[15],"sharing":[17,71],"already":[19],"written":[20,39],"prevent":[23],"wasting":[24],"time":[25],"redoing":[26],"them.":[27],"One":[28],"challenges":[31],"in":[32,40,59,84,117,124,136,168,191,204,212,248],"this":[33,64],"domain":[34],"translate":[37,196,220],"proof":[41,48],"assistants":[42,49],"based":[43,50],"on":[44,51],"impredicative":[45],"logics":[46],"predicative":[52,76,92],"logics,":[53],"whenever":[54],"impredicativity":[55,203],"not":[57,122,201,246],"used":[58,218],"an":[60,205],"essential":[61,206],"way.":[62,207],"In":[63,143],"paper":[65],"we":[66,130,148,243],"present":[67],"transformation":[69],"for":[70,177],"with":[73],"core":[75],"system":[77],"supporting":[78],"prenex":[79],"universe":[80,102,112,141],"polymorphism.":[81],"It":[82],"consists":[83],"trying":[85,178],"elaborate":[87],"each":[88,111],"term":[89,94],"into":[90],"universe-polymorphic":[93],"as":[95,97,242],"general":[96,161],"possible.":[98],"The":[99,183],"use":[100,202],"polymorphism":[103],"justified":[105],"by":[106],"fact":[108],"that":[109,199],"mapping":[110],"fixed":[115],"one":[116,194],"target":[119],"theory":[120,139],"sufficient":[123],"most":[125,160],"cases.":[126],"During":[127],"elaboration,":[129],"need":[131],"solve":[133,180],"unification":[134,181],"problems":[135],"equational":[138],"levels.":[142],"order":[144],"do":[146,200],"this,":[147],"give":[149],"complete":[151],"characterization":[152,164],"when":[154],"single":[156],"equation":[157],"admits":[158],"unifier.":[162],"This":[163],"then":[166,217],"employed":[167],"partial":[170],"algorithm":[171],"which":[172,239],"uses":[173],"constraint-postponement":[175],"strategy":[176],"problems.":[182],"proposed":[184],"translation":[185],"course":[188],"partial,":[189],"but":[190],"practice":[192],"allows":[193],"many":[197,222],"Indeed,":[208],"was":[210],"implemented":[211],"tool":[214],"Predicativize":[215],"and":[216,235],"semi-automatically":[221],"non-trivial":[223],"developments":[224],"from":[225],"Matita's":[226],"library":[227],"Agda,":[229],"including":[230],"Bertrand's":[233],"Postulate":[234],"Fermat's":[236],"Little":[237],"Theorem,":[238],"(as":[240],"far":[241],"know)":[244],"were":[245],"available":[247],"Agda":[249],"yet.":[250]},"counts_by_year":[],"updated_date":"2026-03-12T08:34:05.389933","created_date":"2025-10-10T00:00:00"}
