{"id":"https://openalex.org/W3172691083","doi":"https://doi.org/10.1007/s11225-021-09952-3","title":"Curry\u2013Howard\u2013Lambek Correspondence for Intuitionistic Belief","display_name":"Curry\u2013Howard\u2013Lambek Correspondence for Intuitionistic Belief","publication_year":2021,"publication_date":"2021-06-16","ids":{"openalex":"https://openalex.org/W3172691083","doi":"https://doi.org/10.1007/s11225-021-09952-3","mag":"3172691083"},"language":"en","primary_location":{"id":"doi:10.1007/s11225-021-09952-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11225-021-09952-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11225-021-09952-3.pdf","source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studia Logica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11225-021-09952-3.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017324321","display_name":"Cosimo Perini Brogi","orcid":"https://orcid.org/0000-0001-7883-5727"},"institutions":[{"id":"https://openalex.org/I4210125647","display_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Genova","ror":"https://ror.org/02v89pq06","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210125647"]},{"id":"https://openalex.org/I83816512","display_name":"University of Genoa","ror":"https://ror.org/0107c5v14","country_code":"IT","type":"education","lineage":["https://openalex.org/I83816512"]},{"id":"https://openalex.org/I127077003","display_name":"IMT School for Advanced Studies Lucca","ror":"https://ror.org/035gh3a49","country_code":"IT","type":"education","lineage":["https://openalex.org/I127077003"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Cosimo Perini Brogi","raw_affiliation_strings":["Department of Mathematics, University of Genoa, Via Dodecanneso 35, 16146, Genova, Italy","Scuola IMT Alti Studi Lucca (Piazza S. Ponziano, 6, 55100, Lucca, Italy - Italy)"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Genoa, Via Dodecanneso 35, 16146, Genova, Italy","institution_ids":["https://openalex.org/I83816512","https://openalex.org/I4210125647"]},{"raw_affiliation_string":"Scuola IMT Alti Studi Lucca (Piazza S. Ponziano, 6, 55100, Lucca, Italy - Italy)","institution_ids":["https://openalex.org/I127077003"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5017324321"],"corresponding_institution_ids":["https://openalex.org/I127077003","https://openalex.org/I4210125647","https://openalex.org/I83816512"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.5594,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.7275084,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"109","issue":"6","first_page":"1441","last_page":"1461"},"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":0.9988999962806702,"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":0.9955000281333923,"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/algorithm","display_name":"Algorithm","score":0.5956358909606934},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4742024540901184},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3901168406009674}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5956358909606934},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4742024540901184},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3901168406009674}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s11225-021-09952-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11225-021-09952-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11225-021-09952-3.pdf","source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studia Logica","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04599500v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04599500","pdf_url":null,"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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Studia Logica, 2021, 109 (6), pp.1441 - 1461. &#x27E8;10.1007/s11225-021-09952-3&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:zenodo.org:81031","is_oa":true,"landing_page_url":"https://www.openaccessrepository.it/record/81031","pdf_url":null,"source":{"id":"https://openalex.org/S4306402478","display_name":"INFM-OAR (INFN Catania)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210116497","host_organization_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Catania","host_organization_lineage":["https://openalex.org/I4210116497"],"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":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s11225-021-09952-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11225-021-09952-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11225-021-09952-3.pdf","source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studia Logica","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320667","display_name":"Swansea University","ror":"https://ror.org/053fq8t95"},{"id":"https://openalex.org/F4320322648","display_name":"Universit\u00e0 degli Studi di Firenze","ror":"https://ror.org/04jr1s763"},{"id":"https://openalex.org/F4320322794","display_name":"Universit\u00e0 degli Studi di Genova","ror":"https://ror.org/0107c5v14"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3172691083.pdf","grobid_xml":"https://content.openalex.org/works/W3172691083.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W159715351","https://openalex.org/W1487403858","https://openalex.org/W1499154644","https://openalex.org/W1510403819","https://openalex.org/W1528233644","https://openalex.org/W1535521146","https://openalex.org/W1699512023","https://openalex.org/W1995083622","https://openalex.org/W2049362364","https://openalex.org/W2120713972","https://openalex.org/W2120923007","https://openalex.org/W2121730419","https://openalex.org/W2149837936","https://openalex.org/W2233542714","https://openalex.org/W2503383364","https://openalex.org/W2505342650","https://openalex.org/W3105817132","https://openalex.org/W4231575501","https://openalex.org/W4388321602"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"paper":[2],"introduces":[3],"a":[4,22,30,70,88],"natural":[5],"deduction":[6],"calculus":[7],"for":[8,33,73,90],"intuitionistic":[9,94],"logic":[10],"of":[11,75,86],"belief":[12,91],"$$\\mathsf":[13,36,50,78],"{IEL}^{-}$$":[14,37,51,79],"<mml:math":[15,26,38,52,80],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:msup><mml:mrow><mml:mi>IEL</mml:mi></mml:mrow><mml:mo>-</mml:mo></mml:msup></mml:math>":[16,39,53,81],"which":[17],"is":[18,46,66],"easily":[19],"turned":[20],"into":[21],"modal":[23],"$$\\lambda":[24],"$$":[25],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>\u03bb</mml:mi></mml:math>":[27],"-calculus":[28],"giving":[29],"computational":[31],"semantics":[32,72],"deductions":[34,62],"in":[35,77,92],".":[40,58],"By":[41],"using":[42],"that":[43,49],"interpretation,":[44],"it":[45],"also":[47],"proved":[48],"has":[54],"good":[55],"proof-theoretic":[56],"properties":[57],"The":[59],"correspondence":[60],"between":[61],"and":[63],"typed":[64],"terms":[65],"then":[67],"extended":[68],"to":[69],"categorical":[71],"identity":[74],"proofs":[76],"showing":[82],"the":[83],"general":[84],"structure":[85],"such":[87],"modality":[89],"an":[93],"framework.":[95]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-15T09:29:46.208133","created_date":"2025-10-10T00:00:00"}