{"id":"https://openalex.org/W2777856819","doi":"https://doi.org/10.1145/3167087","title":"Generic derivation of induction for impredicative encodings in Cedille","display_name":"Generic derivation of induction for impredicative encodings in Cedille","publication_year":2018,"publication_date":"2018-01-08","ids":{"openalex":"https://openalex.org/W2777856819","doi":"https://doi.org/10.1145/3167087","mag":"2777856819"},"language":"en","primary_location":{"id":"doi:10.1145/3167087","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3167087","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3167087","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 7th ACM SIGPLAN International Conference on Certified Programs and Proofs","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3167087","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023524127","display_name":"Denis Firsov","orcid":"https://orcid.org/0000-0003-1267-7898"},"institutions":[{"id":"https://openalex.org/I126307644","display_name":"University of Iowa","ror":"https://ror.org/036jqmy94","country_code":"US","type":"education","lineage":["https://openalex.org/I126307644"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Denis Firsov","raw_affiliation_strings":["University of Iowa, USA"],"affiliations":[{"raw_affiliation_string":"University of Iowa, USA","institution_ids":["https://openalex.org/I126307644"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072489480","display_name":"Aaron Stump","orcid":"https://orcid.org/0000-0002-9720-0003"},"institutions":[{"id":"https://openalex.org/I126307644","display_name":"University of Iowa","ror":"https://ror.org/036jqmy94","country_code":"US","type":"education","lineage":["https://openalex.org/I126307644"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Aaron Stump","raw_affiliation_strings":["University of Iowa, USA"],"affiliations":[{"raw_affiliation_string":"University of Iowa, USA","institution_ids":["https://openalex.org/I126307644"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023524127"],"corresponding_institution_ids":["https://openalex.org/I126307644"],"apc_list":null,"apc_paid":null,"fwci":1.466,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.86054016,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"215","last_page":"227"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9983999729156494,"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":0.9983999729156494,"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":0.9815999865531921,"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":0.957099974155426,"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/functor","display_name":"Functor","score":0.7352761030197144},{"id":"https://openalex.org/keywords/dependent-type","display_name":"Dependent type","score":0.6122840642929077},{"id":"https://openalex.org/keywords/simply-typed-lambda-calculus","display_name":"Simply typed lambda calculus","score":0.5450575351715088},{"id":"https://openalex.org/keywords/type-theory","display_name":"Type theory","score":0.5431219339370728},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.5383599400520325},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.5319583415985107},{"id":"https://openalex.org/keywords/typed-lambda-calculus","display_name":"Typed lambda calculus","score":0.5295753479003906},{"id":"https://openalex.org/keywords/lambda-calculus","display_name":"Lambda calculus","score":0.45289626717567444},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44741737842559814},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4325677752494812},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.3890482187271118},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3634207248687744},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35218438506126404},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3413091003894806}],"concepts":[{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.7352761030197144},{"id":"https://openalex.org/C20528804","wikidata":"https://www.wikidata.org/wiki/Q997433","display_name":"Dependent type","level":3,"score":0.6122840642929077},{"id":"https://openalex.org/C61237538","wikidata":"https://www.wikidata.org/wiki/Q855192","display_name":"Simply typed lambda calculus","level":4,"score":0.5450575351715088},{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.5431219339370728},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.5383599400520325},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.5319583415985107},{"id":"https://openalex.org/C142156749","wikidata":"https://www.wikidata.org/wiki/Q2607208","display_name":"Typed lambda calculus","level":3,"score":0.5295753479003906},{"id":"https://openalex.org/C135790938","wikidata":"https://www.wikidata.org/wiki/Q242028","display_name":"Lambda calculus","level":2,"score":0.45289626717567444},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44741737842559814},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4325677752494812},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.3890482187271118},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3634207248687744},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35218438506126404},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3413091003894806},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3167087","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3167087","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3167087","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 7th ACM SIGPLAN International Conference on Certified Programs and Proofs","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1145/3167087","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3167087","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3167087","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 7th ACM SIGPLAN International Conference on Certified Programs and Proofs","raw_type":"proceedings-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","score":0.46000000834465027,"display_name":"Quality Education"}],"awards":[{"id":"https://openalex.org/G8023920682","display_name":null,"funder_award_id":"1524519","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320333591","display_name":"Multidisciplinary University Research Initiative","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2777856819.pdf","grobid_xml":"https://content.openalex.org/works/W2777856819.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W124942006","https://openalex.org/W202283534","https://openalex.org/W1501402401","https://openalex.org/W1504424419","https://openalex.org/W1852211073","https://openalex.org/W1949275316","https://openalex.org/W1987091892","https://openalex.org/W2003701327","https://openalex.org/W2037365992","https://openalex.org/W2085858043","https://openalex.org/W2101565274","https://openalex.org/W2115699102","https://openalex.org/W2128448167","https://openalex.org/W2151828545","https://openalex.org/W2155863409","https://openalex.org/W2163552400","https://openalex.org/W2165929896","https://openalex.org/W2168341937","https://openalex.org/W2562293731","https://openalex.org/W2573551175","https://openalex.org/W2613133382","https://openalex.org/W2746677766","https://openalex.org/W2793739232","https://openalex.org/W6630237704"],"related_works":["https://openalex.org/W3123171335","https://openalex.org/W1594451895","https://openalex.org/W2153353244","https://openalex.org/W4297858128","https://openalex.org/W1983748102","https://openalex.org/W2146437601","https://openalex.org/W1458664253","https://openalex.org/W4205386752","https://openalex.org/W2949446347","https://openalex.org/W2027907817"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"generic":[3,56],"derivations":[4,54],"of":[5,27,51,74,87,100,103],"induction":[6,63],"for":[7,64],"impredicatively":[8],"typed":[9],"lambda-encoded":[10],"datatypes,":[11],"in":[12,57],"the":[13,24,58,70,85],"Cedille":[14,17],"type":[15,21],"theory.":[16],"is":[18,47,90],"a":[19,75,98],"pure":[20,42],"theory":[22],"extending":[23],"Curry-style":[25],"Calculus":[26],"Constructions":[28],"with":[29],"implicit":[30],"products,":[31],"primitive":[32],"heterogeneous":[33],"equality,":[34],"and":[35,45,81,106],"dependent":[36],"intersections.":[37],"All":[38],"data":[39],"erase":[40],"to":[41],"lambda":[43],"terms,":[44],"there":[46],"no":[48],"built-in":[49],"notion":[50],"datatype.":[52],"The":[53],"are":[55],"sense":[59],"that":[60],"we":[61,93],"derive":[62],"any":[65],"datatype":[66],"which":[67],"arises":[68],"as":[69,97],"least":[71],"fixed":[72],"point":[73],"signature":[76],"functor.":[77],"We":[78],"consider":[79],"Church-style":[80],"Mendler-style":[82],"lambda-encodings.":[83],"Moreover,":[84],"isomorphism":[86],"these":[88],"encodings":[89],"proved.":[91],"Also,":[92],"formalize":[94],"Lambek's":[95],"lemma":[96],"consequence":[99],"expected":[101],"laws":[102],"cancellation,":[104],"reflection,":[105],"fusion.":[107]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}