{"id":"https://openalex.org/W2041111005","doi":"https://doi.org/10.1145/2676726.2676988","title":"Self-Representation in Girard's System U","display_name":"Self-Representation in Girard's System U","publication_year":2014,"publication_date":"2014-12-19","ids":{"openalex":"https://openalex.org/W2041111005","doi":"https://doi.org/10.1145/2676726.2676988","mag":"2041111005"},"language":"en","primary_location":{"id":"doi:10.1145/2676726.2676988","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2676726.2676988","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 42nd Annual ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113793906","display_name":"Matt Brown","orcid":null},"institutions":[{"id":"https://openalex.org/I2799798094","display_name":"UCLA Health","ror":"https://ror.org/01d88se56","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I2799798094"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matt Brown","raw_affiliation_strings":["UCLA, Los Angeles, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UCLA, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I2799798094"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011356414","display_name":"Jens Palsberg","orcid":"https://orcid.org/0000-0003-4747-365X"},"institutions":[{"id":"https://openalex.org/I2799798094","display_name":"UCLA Health","ror":"https://ror.org/01d88se56","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I2799798094"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jens Palsberg","raw_affiliation_strings":["UCLA, Los Angeles, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UCLA, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I2799798094"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I2799798094"],"apc_list":null,"apc_paid":null,"fwci":3.3134,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.92886847,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"471","last_page":"484"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9995999932289124,"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"}},"topics":[{"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/T11424","display_name":"Security and Verification in Computing","score":0.9514999985694885,"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":0.9498999714851379,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/system-f","display_name":"System F","score":0.723449170589447},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.6128929257392883},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5593765377998352},{"id":"https://openalex.org/keywords/predicate","display_name":"Predicate (mathematical logic)","score":0.5291878581047058},{"id":"https://openalex.org/keywords/typed-lambda-calculus","display_name":"Typed lambda calculus","score":0.4839537441730499},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.4723915755748749},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4720101058483124},{"id":"https://openalex.org/keywords/dependent-type","display_name":"Dependent type","score":0.4638310670852661},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.4600726068019867},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.343004047870636},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33894777297973633},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.31234830617904663},{"id":"https://openalex.org/keywords/lambda-calculus","display_name":"Lambda calculus","score":0.2611919641494751},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1854225993156433}],"concepts":[{"id":"https://openalex.org/C55128367","wikidata":"https://www.wikidata.org/wiki/Q2552799","display_name":"System F","level":3,"score":0.723449170589447},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.6128929257392883},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5593765377998352},{"id":"https://openalex.org/C140146324","wikidata":"https://www.wikidata.org/wiki/Q1144319","display_name":"Predicate (mathematical logic)","level":2,"score":0.5291878581047058},{"id":"https://openalex.org/C142156749","wikidata":"https://www.wikidata.org/wiki/Q2607208","display_name":"Typed lambda calculus","level":3,"score":0.4839537441730499},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.4723915755748749},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4720101058483124},{"id":"https://openalex.org/C20528804","wikidata":"https://www.wikidata.org/wiki/Q997433","display_name":"Dependent type","level":3,"score":0.4638310670852661},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4600726068019867},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.343004047870636},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33894777297973633},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.31234830617904663},{"id":"https://openalex.org/C135790938","wikidata":"https://www.wikidata.org/wiki/Q242028","display_name":"Lambda calculus","level":2,"score":0.2611919641494751},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1854225993156433},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2676726.2676988","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2676726.2676988","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 42nd Annual ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G560297117","display_name":"SHF: Small: Typed Self-Application","funder_award_id":"1219240","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W28925417","https://openalex.org/W43882553","https://openalex.org/W145869046","https://openalex.org/W202283534","https://openalex.org/W1482545727","https://openalex.org/W1570229558","https://openalex.org/W1595884580","https://openalex.org/W1964062928","https://openalex.org/W1967041135","https://openalex.org/W1969204136","https://openalex.org/W1975335792","https://openalex.org/W1975584537","https://openalex.org/W2018926799","https://openalex.org/W2021447352","https://openalex.org/W2031433874","https://openalex.org/W2043416466","https://openalex.org/W2045255985","https://openalex.org/W2069107692","https://openalex.org/W2089674328","https://openalex.org/W2110464036","https://openalex.org/W2120146214","https://openalex.org/W2123092976","https://openalex.org/W2134435552","https://openalex.org/W2136707405","https://openalex.org/W2137232178","https://openalex.org/W2150063096","https://openalex.org/W2158778600","https://openalex.org/W2164777241","https://openalex.org/W2180762724","https://openalex.org/W2398461955","https://openalex.org/W3005318039","https://openalex.org/W4210585478","https://openalex.org/W4246086292"],"related_works":["https://openalex.org/W3123171335","https://openalex.org/W32986836","https://openalex.org/W4205386752","https://openalex.org/W2027907817","https://openalex.org/W1983748102","https://openalex.org/W1594451895","https://openalex.org/W2112776683","https://openalex.org/W2153353244","https://openalex.org/W2189323991","https://openalex.org/W4297858128"],"abstract_inverted_index":{"In":[0,50],"1991,":[1],"Pfenning":[2],"and":[3,54,83,110,189],"Lee":[4],"studied":[5],"whether":[6],"System":[7,20,31,90,101,104],"F":[8,21,32],"could":[9,204],"support":[10],"a":[11,72,85,95,151,160,170,174,179,187,190],"typed":[12,17,86,167,191,198,213],"self-interpreter.":[13],"They":[14],"concluded":[15],"that":[16,38,57,79,114,120,148,172,181],"self-representation":[18,87,145],"for":[19,88,94],"\"seems":[22],"to":[23,29,126,159,211,215],"be":[24,157],"impossible\",":[25],"but":[26],"were":[27],"able":[28],"represent":[30],"in":[33],"F\u03c9.":[34,49],"Further,":[35],"they":[36,131],"found":[37],"the":[39,58,92,128,183,196],"representation":[40,59,161],"of":[41,60,68,74,134,142,154,162,186],"F\u03c9":[42,105],"requires":[43],"kind":[44,107,115,135],"polymorphism,":[45],"which":[46,155],"is":[47,81],"outside":[48],"2009,":[51],"Rendel,":[52],"Ostermann":[53],"Hofer":[55],"conjectured":[56],"kind-polymorphic":[61],"terms":[62,109,137],"would":[63],"require":[64],"another,":[65],"higher":[66],"form":[67,141],"polymorphism.":[69,143],"Is":[70],"this":[71],"case":[73],"infinite":[75],"regress?":[76],"We":[77,112,164],"show":[78,113],"it":[80],"not":[82],"present":[84,165],"Girard's":[89],"U,":[91],"first":[93,197],"\u03bb-calculus":[96],"with":[97,106],"decidable":[98],"type":[99],"checking.":[100],"U":[102],"extends":[103],"polymorphic":[108,116,136],"types.":[111],"types":[117,119],"(i.e.":[118],"depend":[121],"on":[122],"kinds)":[123],"are":[124],"sufficient":[125],"\"tie":[127],"knot\"":[129],"--":[130,195],"enable":[132],"representations":[133],"without":[138],"introducing":[139],"another":[140],"Our":[144,202],"supports":[146],"operations":[147],"iterate":[149],"over":[150],"term,":[152,188],"each":[153],"can":[156],"applied":[158],"itself.":[163],"three":[166],"self-applicable":[168,199],"operations:":[169],"self-interpreter":[171],"recovers":[173],"term":[175],"from":[176,207],"its":[177],"representation,":[178],"predicate":[180],"tests":[182],"intensional":[184],"structure":[185],"continuation-passing-style":[192],"(CPS)":[193],"transformation":[194],"CPS":[200],"transformation.":[201],"techniques":[203],"have":[205],"applications":[206],"verifiably":[208],"type-preserving":[209],"metaprograms,":[210],"growable":[212],"languages,":[214],"more":[216],"efficient":[217],"self-interpreters.":[218]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}