{"id":"https://openalex.org/W2991183811","doi":"https://doi.org/10.23638/lmcs-16(2:14)2020","title":"Failure of Normalization in Impredicative Type Theory with Proof-Irrelevant Propositional Equality","display_name":"Failure of Normalization in Impredicative Type Theory with Proof-Irrelevant Propositional Equality","publication_year":2020,"publication_date":"2020-06-30","ids":{"openalex":"https://openalex.org/W2991183811","doi":"https://doi.org/10.23638/lmcs-16(2:14)2020","mag":"2991183811"},"language":"en","primary_location":{"id":"doi:10.23638/lmcs-16(2:14)2020","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-16(2:14)2020","pdf_url":"https://lmcs.episciences.org/6606/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":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/6606/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008534457","display_name":"Andreas Abel","orcid":"https://orcid.org/0000-0003-0420-4492"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Andreas Abel","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5087100539","display_name":"Thierry Coquand","orcid":"https://orcid.org/0000-0002-5429-5153"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Thierry Coquand","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008534457"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4078,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.68022982,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"Volume 16, Issue 2","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9832000136375427,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9786999821662903,"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/normalization","display_name":"Normalization (sociology)","score":0.9120422005653381},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.8117592334747314},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6250852346420288},{"id":"https://openalex.org/keywords/type-theory","display_name":"Type theory","score":0.6080816388130188},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4904429614543915},{"id":"https://openalex.org/keywords/propositional-formula","display_name":"Propositional formula","score":0.43463611602783203},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.39047086238861084},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33877259492874146},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.33253413438796997},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2448807656764984},{"id":"https://openalex.org/keywords/propositional-variable","display_name":"Propositional variable","score":0.18541771173477173},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13863015174865723},{"id":"https://openalex.org/keywords/sociology","display_name":"Sociology","score":0.06521639227867126},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.053128600120544434}],"concepts":[{"id":"https://openalex.org/C136886441","wikidata":"https://www.wikidata.org/wiki/Q926129","display_name":"Normalization (sociology)","level":2,"score":0.9120422005653381},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.8117592334747314},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6250852346420288},{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.6080816388130188},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4904429614543915},{"id":"https://openalex.org/C74640108","wikidata":"https://www.wikidata.org/wiki/Q1372900","display_name":"Propositional formula","level":5,"score":0.43463611602783203},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.39047086238861084},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33877259492874146},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.33253413438796997},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2448807656764984},{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.18541771173477173},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13863015174865723},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.06521639227867126},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.053128600120544434},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","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/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.23638/lmcs-16(2:14)2020","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-16(2:14)2020","pdf_url":"https://lmcs.episciences.org/6606/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:arXiv.org:1911.08174","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1911.08174","pdf_url":"https://arxiv.org/pdf/1911.08174","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.1911.08174","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1911.08174","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"},{"id":"doi:10.4230/lipics.types.2019.9","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.types.2019.9","pdf_url":null,"source":{"id":"https://openalex.org/S7407052059","display_name":"Dagstuhl Research Online Publication Server","issn_l":null,"issn":[],"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":""}],"best_oa_location":{"id":"doi:10.23638/lmcs-16(2:14)2020","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-16(2:14)2020","pdf_url":"https://lmcs.episciences.org/6606/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":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4300000071525574}],"awards":[{"id":"https://openalex.org/G7228997265","display_name":null,"funder_award_id":"Vetenskapsr\u00e5","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"},{"id":"https://openalex.org/G8080935424","display_name":null,"funder_award_id":"unknown","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"}],"funders":[{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2991183811.pdf","grobid_xml":"https://content.openalex.org/works/W2991183811.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W569543113","https://openalex.org/W1464569014","https://openalex.org/W1986402635","https://openalex.org/W2066166567","https://openalex.org/W2106718208","https://openalex.org/W2211325406","https://openalex.org/W2358087223","https://openalex.org/W3101932690"],"related_works":["https://openalex.org/W4240581084","https://openalex.org/W4309222106","https://openalex.org/W2012590989","https://openalex.org/W4297939726","https://openalex.org/W4385681624","https://openalex.org/W2049141591","https://openalex.org/W2952569802","https://openalex.org/W2950489642","https://openalex.org/W1734188852","https://openalex.org/W4299556667"],"abstract_inverted_index":{"Normalization":[0],"fails":[1],"in":[2],"type":[3,35],"theory":[4],"with":[5,31],"an":[6],"impredicative":[7],"universe":[8],"of":[9,27],"propositions":[10],"and":[11],"a":[12,32],"proof-irrelevant":[13],"propositional":[14],"equality.":[15,36],"The":[16],"counterexample":[17,24],"to":[18],"normalization":[19,26,40],"is":[20],"adapted":[21],"from":[22],"Girard's":[23],"against":[25],"System":[28],"F":[29],"equipped":[30],"decider":[33],"for":[34],"It":[37],"refutes":[38],"Werner's":[39],"conjecture":[41],"[LMCS":[42],"2008].":[43]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
