{"id":"https://openalex.org/W2590965506","doi":"https://doi.org/10.1093/logcom/exv090","title":"The first-order hypothetical logic of proofs","display_name":"The first-order hypothetical logic of proofs","publication_year":2016,"publication_date":"2016-01-30","ids":{"openalex":"https://openalex.org/W2590965506","doi":"https://doi.org/10.1093/logcom/exv090","mag":"2590965506"},"language":"en","primary_location":{"id":"doi:10.1093/logcom/exv090","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exv090","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3122815","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083360623","display_name":"Gabriela Steren","orcid":null},"institutions":[{"id":"https://openalex.org/I4210144290","display_name":"Institute of Astronomy and Space Physics","ror":"https://ror.org/03rq94151","country_code":"AR","type":"facility","lineage":["https://openalex.org/I151201029","https://openalex.org/I24354313","https://openalex.org/I4210123736","https://openalex.org/I4210144290","https://openalex.org/I4387155568"]}],"countries":["AR"],"is_corresponding":true,"raw_author_name":"Gabriela Steren","raw_affiliation_strings":["Depto. de Computaci\u00f3n, FCEyN, UBA, Argentina"],"affiliations":[{"raw_affiliation_string":"Depto. de Computaci\u00f3n, FCEyN, UBA, Argentina","institution_ids":["https://openalex.org/I4210144290"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112080959","display_name":"Eduardo Bonelli","orcid":"https://orcid.org/0000-0003-1856-2856"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Eduardo Bonelli","raw_affiliation_strings":["Depto. de Ciencia y Tecnolog\u00eda, UNQ, Argentina and CONICET"],"affiliations":[{"raw_affiliation_string":"Depto. de Ciencia y Tecnolog\u00eda, UNQ, Argentina and CONICET","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5083360623","https://openalex.org/A5112080959"],"corresponding_institution_ids":["https://openalex.org/I4210144290"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.11654226,"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":"exv090","last_page":"exv090"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","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/T11010","display_name":"Logic, Reasoning, and Knowledge","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/T10126","display_name":"Logic, programming, and type systems","score":0.9995999932289124,"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":0.9973000288009644,"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/soundness","display_name":"Soundness","score":0.8319554328918457},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.772416353225708},{"id":"https://openalex.org/keywords/natural-deduction","display_name":"Natural deduction","score":0.6629102230072021},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.633583664894104},{"id":"https://openalex.org/keywords/arithmetic-function","display_name":"Arithmetic function","score":0.5661747455596924},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5185661911964417},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.4815090596675873},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.47487872838974},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.46910056471824646},{"id":"https://openalex.org/keywords/normalization","display_name":"Normalization (sociology)","score":0.4414519667625427},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4397842288017273},{"id":"https://openalex.org/keywords/first-order-logic","display_name":"First-order logic","score":0.4195796847343445},{"id":"https://openalex.org/keywords/well-formed-formula","display_name":"Well-formed formula","score":0.41583260893821716},{"id":"https://openalex.org/keywords/propositional-variable","display_name":"Propositional variable","score":0.41064319014549255},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.3594120144844055},{"id":"https://openalex.org/keywords/intermediate-logic","display_name":"Intermediate logic","score":0.34261322021484375},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3382532298564911},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.16959062218666077},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.14143788814544678}],"concepts":[{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.8319554328918457},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.772416353225708},{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.6629102230072021},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.633583664894104},{"id":"https://openalex.org/C112343008","wikidata":"https://www.wikidata.org/wiki/Q140744","display_name":"Arithmetic function","level":2,"score":0.5661747455596924},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5185661911964417},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.4815090596675873},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.47487872838974},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.46910056471824646},{"id":"https://openalex.org/C136886441","wikidata":"https://www.wikidata.org/wiki/Q926129","display_name":"Normalization (sociology)","level":2,"score":0.4414519667625427},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4397842288017273},{"id":"https://openalex.org/C100481476","wikidata":"https://www.wikidata.org/wiki/Q4055684","display_name":"First-order logic","level":2,"score":0.4195796847343445},{"id":"https://openalex.org/C191222856","wikidata":"https://www.wikidata.org/wiki/Q655328","display_name":"Well-formed formula","level":5,"score":0.41583260893821716},{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.41064319014549255},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.3594120144844055},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.34261322021484375},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3382532298564911},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.16959062218666077},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.14143788814544678},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","level":1,"score":0.0},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1093/logcom/exv090","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exv090","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","raw_type":"journal-article"},{"id":"pmh:oai:americanae.aecid.es:3122815","is_oa":true,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3122815","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","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-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:CONICET Digital (CONICET)","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:ri.conicet.gov.ar:11336/42132","is_oa":true,"landing_page_url":"http://hdl.handle.net/11336/42132","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:CONICET Digital (CONICET)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:americanae.aecid.es:3122815","is_oa":true,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3122815","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","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-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:CONICET Digital (CONICET)","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W48336254","https://openalex.org/W56376262","https://openalex.org/W86894014","https://openalex.org/W151180262","https://openalex.org/W220713430","https://openalex.org/W1527901439","https://openalex.org/W1566288082","https://openalex.org/W1644112624","https://openalex.org/W1748618619","https://openalex.org/W1759871617","https://openalex.org/W1826753772","https://openalex.org/W1888344413","https://openalex.org/W1974142908","https://openalex.org/W1978323526","https://openalex.org/W1988824860","https://openalex.org/W1990204174","https://openalex.org/W2002106559","https://openalex.org/W2008920425","https://openalex.org/W2029408547","https://openalex.org/W2032234226","https://openalex.org/W2043468053","https://openalex.org/W2054717969","https://openalex.org/W2059933820","https://openalex.org/W2076577093","https://openalex.org/W2083186217","https://openalex.org/W2084684966","https://openalex.org/W2090768444","https://openalex.org/W2091941856","https://openalex.org/W2093881948","https://openalex.org/W2103953153","https://openalex.org/W2104288836","https://openalex.org/W2132936218","https://openalex.org/W2134923006","https://openalex.org/W2163602279","https://openalex.org/W2163983803","https://openalex.org/W2285121019","https://openalex.org/W2503383364","https://openalex.org/W2621071150","https://openalex.org/W2913659353","https://openalex.org/W3104826616","https://openalex.org/W4239633670","https://openalex.org/W4251969826","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1986625420","https://openalex.org/W2081976468","https://openalex.org/W1573206013","https://openalex.org/W4251854500","https://openalex.org/W2285760602","https://openalex.org/W2156897951","https://openalex.org/W2154555144","https://openalex.org/W2389445","https://openalex.org/W2027489592","https://openalex.org/W2913260702"],"abstract_inverted_index":{"The":[0],"Propositional":[1],"Logic":[2],"of":[3,29,45,58,92,103,123],"Proofs":[4],"(LP)":[5],"is":[6,15,43,82,118,126],"a":[7,90,104,110,121],"modal":[8],"logic":[9],"in":[10,79,89,100],"which":[11,66],"the":[12,27,93,101],"modality":[13],"\u25a1A":[14],"revisited":[16],"as":[17],"[\u200b[t]\u200b]\u200bA\u2060,":[18],"t":[19],"being":[20],"an":[21,72],"expression":[22],"that":[23],"bears":[24],"witness":[25],"to":[26],"validity":[28],"A\u2060.":[30],"It":[31],"enjoys":[32,67],"arithmetical":[33,68],"soundness":[34,69],"and":[35,42,70,108,120],"completeness,":[36],"can":[37],"realize":[38],"all":[39],"S4":[40],"theorems":[41],"capable":[44],"reflecting":[46],"its":[47],"own":[48],"proofs":[49],"(\u2060\u22a2A":[50],"implies":[51],"\u22a2[\u200b[t]\u200b]A\u2060,":[52],"for":[53,113],"some":[54],"t\u2060).":[55],"A":[56,76,115],"presentation":[57,81,107],"first-order":[59],"LP":[60],"has":[61,71],"recently":[62],"been":[63],"proposed,":[64],"FOLP,":[65],"exact":[73],"provability":[74],"semantics.":[75],"key":[77],"notion":[78,99],"this":[80,98],"how":[83],"free":[84],"variables":[85],"are":[86],"dealt":[87],"with":[88],"formula":[91],"form":[94],"[\u200b[t]\u200b]\u200bA(i)\u2060.":[95],"We":[96],"revisit":[97],"setting":[102],"Natural":[105],"Deduction":[106],"propose":[109],"Curry\u2013Howard":[111],"correspondence":[112],"FOLP.":[114],"term":[116],"assignment":[117],"provided":[119],"proof":[122],"strong":[124],"normalization":[125],"given.":[127]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
