{"id":"https://openalex.org/W7115181356","doi":"https://doi.org/10.1017/bsl.2025.10107","title":"G <scp>iulio</scp> F <scp>ellin</scp> . <i> <b>Constructivisation through Induction and Conservation</b> </i> . University of Helsinki, University of Trento, University of Verona. 2022. Supervised by Sara Negri, Peter Schuster, and Annika Kanckos. MSC: 03A05, 03B22, 03B20, 03B45. Keywords: intuitionistic logic, modal logic, algebraic logic, induction principles, Glivenko\u2019s theorem.","display_name":"G <scp>iulio</scp> F <scp>ellin</scp> . <i> <b>Constructivisation through Induction and Conservation</b> </i> . University of Helsinki, University of Trento, University of Verona. 2022. Supervised by Sara Negri, Peter Schuster, and Annika Kanckos. MSC: 03A05, 03B22, 03B20, 03B45. Keywords: intuitionistic logic, modal logic, algebraic logic, induction principles, Glivenko\u2019s theorem.","publication_year":2025,"publication_date":"2025-12-01","ids":{"openalex":"https://openalex.org/W7115181356","doi":"https://doi.org/10.1017/bsl.2025.10107"},"language":"en","primary_location":{"id":"doi:10.1017/bsl.2025.10107","is_oa":true,"landing_page_url":"https://doi.org/10.1017/bsl.2025.10107","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/55F55028B4081264243A31CD4BFFEDC6/S1079898625101078a.pdf/div-class-title-constructivisation-through-induction-and-conservation-div.pdf","source":{"id":"https://openalex.org/S130801046","display_name":"Bulletin of Symbolic Logic","issn_l":"1079-8986","issn":["1079-8986","1943-5894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Bulletin of Symbolic Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/55F55028B4081264243A31CD4BFFEDC6/S1079898625101078a.pdf/div-class-title-constructivisation-through-induction-and-conservation-div.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Giulio Fellin","orcid":null},"institutions":[{"id":"https://openalex.org/I119439378","display_name":"University of Verona","ror":"https://ror.org/039bp8j42","country_code":"IT","type":"education","lineage":["https://openalex.org/I119439378"]},{"id":"https://openalex.org/I133731052","display_name":"University of Helsinki","ror":"https://ror.org/040af2s02","country_code":"FI","type":"education","lineage":["https://openalex.org/I133731052"]},{"id":"https://openalex.org/I193223587","display_name":"University of Trento","ror":"https://ror.org/05trd4x28","country_code":"IT","type":"education","lineage":["https://openalex.org/I193223587"]}],"countries":["FI","IT"],"is_corresponding":true,"raw_author_name":"Giulio Fellin","raw_affiliation_strings":["University of Helsinki, University of Trento, University of Verona. 2022"],"affiliations":[{"raw_affiliation_string":"University of Helsinki, University of Trento, University of Verona. 2022","institution_ids":["https://openalex.org/I119439378","https://openalex.org/I193223587","https://openalex.org/I133731052"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I119439378","https://openalex.org/I133731052","https://openalex.org/I193223587"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.85133762,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"31","issue":"4","first_page":"695","last_page":"695"},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.12600000202655792,"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"}},"topics":[{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.12600000202655792,"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"}},{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.08969999849796295,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10258","display_name":"Philosophy and Theoretical Science","score":0.051899999380111694,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.5866000056266785},{"id":"https://openalex.org/keywords/compass","display_name":"Compass","score":0.4977000057697296},{"id":"https://openalex.org/keywords/intuition","display_name":"Intuition","score":0.4864000082015991},{"id":"https://openalex.org/keywords/object","display_name":"Object (grammar)","score":0.4074999988079071},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4066999852657318},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.39579999446868896},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.3619000017642975},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.3409999907016754}],"concepts":[{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.5866000056266785},{"id":"https://openalex.org/C2778361833","wikidata":"https://www.wikidata.org/wiki/Q34735","display_name":"Compass","level":2,"score":0.4977000057697296},{"id":"https://openalex.org/C132010649","wikidata":"https://www.wikidata.org/wiki/Q189222","display_name":"Intuition","level":2,"score":0.4864000082015991},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42739999294281006},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41269999742507935},{"id":"https://openalex.org/C2781238097","wikidata":"https://www.wikidata.org/wiki/Q175026","display_name":"Object (grammar)","level":2,"score":0.4074999988079071},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4066999852657318},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.39579999446868896},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.3619000017642975},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.36059999465942383},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.3409999907016754},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33219999074935913},{"id":"https://openalex.org/C2776608160","wikidata":"https://www.wikidata.org/wiki/Q4785462","display_name":"Natural (archaeology)","level":2,"score":0.3197000026702881},{"id":"https://openalex.org/C47884741","wikidata":"https://www.wikidata.org/wiki/Q1166618","display_name":"Mathematical logic","level":2,"score":0.3181999921798706},{"id":"https://openalex.org/C197129107","wikidata":"https://www.wikidata.org/wiki/Q1921621","display_name":"Merge (version control)","level":2,"score":0.31209999322891235},{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.304500013589859},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.29679998755455017},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.2904999852180481},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28349998593330383},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.28279998898506165},{"id":"https://openalex.org/C15708023","wikidata":"https://www.wikidata.org/wiki/Q80083","display_name":"Humanities","level":1,"score":0.2816999852657318},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2786000072956085},{"id":"https://openalex.org/C195324797","wikidata":"https://www.wikidata.org/wiki/Q33742","display_name":"Natural language","level":2,"score":0.2703999876976013},{"id":"https://openalex.org/C47030870","wikidata":"https://www.wikidata.org/wiki/Q467606","display_name":"Model theory","level":2,"score":0.26809999346733093},{"id":"https://openalex.org/C65880906","wikidata":"https://www.wikidata.org/wiki/Q1771121","display_name":"Sequent calculus","level":3,"score":0.25440001487731934},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.251800000667572}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/bsl.2025.10107","is_oa":true,"landing_page_url":"https://doi.org/10.1017/bsl.2025.10107","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/55F55028B4081264243A31CD4BFFEDC6/S1079898625101078a.pdf/div-class-title-constructivisation-through-induction-and-conservation-div.pdf","source":{"id":"https://openalex.org/S130801046","display_name":"Bulletin of Symbolic Logic","issn_l":"1079-8986","issn":["1079-8986","1943-5894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Bulletin of Symbolic Logic","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1017/bsl.2025.10107","is_oa":true,"landing_page_url":"https://doi.org/10.1017/bsl.2025.10107","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/55F55028B4081264243A31CD4BFFEDC6/S1079898625101078a.pdf/div-class-title-constructivisation-through-induction-and-conservation-div.pdf","source":{"id":"https://openalex.org/S130801046","display_name":"Bulletin of Symbolic Logic","issn_l":"1079-8986","issn":["1079-8986","1943-5894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Bulletin of Symbolic Logic","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4333016872406006,"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7115181356.pdf","grobid_xml":"https://content.openalex.org/works/W7115181356.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Abstract":[0,173],"The":[1,16,73,97],"topic":[2],"of":[3,19,28,38,41,69,75,89,112,118,121,161,164],"this":[4],"thesis":[5,78],"lies":[6],"in":[7,53],"the":[8,26,29,67,76,122,129,138,159],"intersection":[9],"between":[10,131],"proof":[11],"theory":[12],"and":[13,44,64,66,137,167],"algebraic":[14],"logic.":[15],"main":[17],"object":[18],"discussion,":[20],"constructive":[21],"reasoning,":[22,84,91],"was":[23],"introduced":[24],"at":[25],"beginning":[27],"twentieth":[30],"century":[31],"by":[32,51,57,114,127,175],"Brouwer,":[33],"who":[34],"followed":[35],"Kant\u2019s":[36],"explanation":[37],"human":[39],"intuition":[40],"spacial":[42],"forms":[43,88],"time":[45],"points:":[46],"these":[47],"are":[48,102,104],"constructed":[49],"step":[50,52],"a":[54,151],"finite":[55],"process":[56,117],"certain":[58,132],"rules,":[59],"mimicking":[60],"constructions":[61],"with":[62],"straightedge":[63],"compass":[65],"construction":[68],"natural":[70],"numbers,":[71],"respectively.":[72],"aim":[74],"present":[77],"is":[79],"to":[80,149,157],"show":[81],"how":[82],"classical":[83,165],"which":[85,155,162],"admits":[86],"some":[87,141],"indirect":[90],"can":[92,169],"be":[93,170],"made":[94,171],"more":[95],"constructive.":[96,172],"central":[98],"tool":[99],"that":[100,108,134],"we":[101],"using":[103],"induction":[105,136],"principles,":[106],"methods":[107,148],"capture":[109],"infinite":[110],"collections":[111],"objects":[113],"considering":[115],"their":[116],"generation":[119],"instead":[120],"whole":[123],"class.":[124],"We":[125,144],"start":[126],"studying":[128],"interplay":[130],"structures":[133],"satisfy":[135],"calculi":[139],"for":[140],"non-classical":[142],"logics.":[143],"then":[145],"use":[146],"inductive":[147],"prove":[150],"few":[152],"conservation":[153],"theorems,":[154],"contribute":[156],"answering":[158],"question":[160],"parts":[163],"logic":[166],"mathematics":[168],"prepared":[174],"Giulio":[176],"Fellin":[177],"E-mail":[178],":":[179,182],"giulio.fellin@univr.it":[180],"URL":[181],"https://researchportal.helsinki.fi/en/publications/constructivisation-through-induction-and-conservation":[183]},"counts_by_year":[],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2025-10-10T00:00:00"}