{"id":"https://openalex.org/W4386307110","doi":"https://doi.org/10.1145/3609027.3609404","title":"A Calculus of Inductive Linear Constructions","display_name":"A Calculus of Inductive Linear Constructions","publication_year":2023,"publication_date":"2023-08-30","ids":{"openalex":"https://openalex.org/W4386307110","doi":"https://doi.org/10.1145/3609027.3609404"},"language":"en","primary_location":{"id":"doi:10.1145/3609027.3609404","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1145/3609027.3609404","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 8th ACM SIGPLAN International Workshop on Type-Driven Development","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/A5062224014","display_name":"Qiancheng Fu","orcid":"https://orcid.org/0000-0002-5234-8565"},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Qiancheng Fu","raw_affiliation_strings":["Boston University, USA"],"affiliations":[{"raw_affiliation_string":"Boston University, USA","institution_ids":["https://openalex.org/I111088046"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046868978","display_name":"Hongwei Xi","orcid":"https://orcid.org/0000-0001-6642-8307"},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hongwei Xi","raw_affiliation_strings":["Boston University, USA"],"affiliations":[{"raw_affiliation_string":"Boston University, USA","institution_ids":["https://openalex.org/I111088046"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5062224014"],"corresponding_institution_ids":["https://openalex.org/I111088046"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10347425,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998999834060669,"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/T10126","display_name":"Logic, programming, and type systems","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/T10142","display_name":"Formal Methods in Verification","score":0.9872999787330627,"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"}},{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9871000051498413,"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/linear-logic","display_name":"Linear logic","score":0.7323329448699951},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6186436414718628},{"id":"https://openalex.org/keywords/type-theory","display_name":"Type theory","score":0.6028671860694885},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.47597116231918335},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4542766213417053},{"id":"https://openalex.org/keywords/dependent-type","display_name":"Dependent type","score":0.4473935663700104},{"id":"https://openalex.org/keywords/encoding","display_name":"Encoding (memory)","score":0.42522409558296204},{"id":"https://openalex.org/keywords/operational-semantics","display_name":"Operational semantics","score":0.4212993085384369},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4102919399738312},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4089702069759369},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.36895954608917236},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3563237190246582},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32963088154792786},{"id":"https://openalex.org/keywords/lambda-calculus","display_name":"Lambda calculus","score":0.2188144326210022},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18043968081474304},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.09543535113334656}],"concepts":[{"id":"https://openalex.org/C28077239","wikidata":"https://www.wikidata.org/wiki/Q841728","display_name":"Linear logic","level":2,"score":0.7323329448699951},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6186436414718628},{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.6028671860694885},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.47597116231918335},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4542766213417053},{"id":"https://openalex.org/C20528804","wikidata":"https://www.wikidata.org/wiki/Q997433","display_name":"Dependent type","level":3,"score":0.4473935663700104},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.42522409558296204},{"id":"https://openalex.org/C156325763","wikidata":"https://www.wikidata.org/wiki/Q1930895","display_name":"Operational semantics","level":3,"score":0.4212993085384369},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4102919399738312},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4089702069759369},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.36895954608917236},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3563237190246582},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32963088154792786},{"id":"https://openalex.org/C135790938","wikidata":"https://www.wikidata.org/wiki/Q242028","display_name":"Lambda calculus","level":2,"score":0.2188144326210022},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18043968081474304},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.09543535113334656},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3609027.3609404","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1145/3609027.3609404","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 8th ACM SIGPLAN International Workshop on Type-Driven Development","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W53839316","https://openalex.org/W1511916234","https://openalex.org/W1581378641","https://openalex.org/W1949275316","https://openalex.org/W1971591193","https://openalex.org/W1974190112","https://openalex.org/W2012968289","https://openalex.org/W2018181305","https://openalex.org/W2081109124","https://openalex.org/W2086571520","https://openalex.org/W2484189767","https://openalex.org/W2766220735","https://openalex.org/W2799182172","https://openalex.org/W2911865844","https://openalex.org/W3117925125","https://openalex.org/W3181070739","https://openalex.org/W4213279211","https://openalex.org/W4233723952","https://openalex.org/W4386324403","https://openalex.org/W6912435185"],"related_works":["https://openalex.org/W1923962694","https://openalex.org/W2374055244","https://openalex.org/W2951276922","https://openalex.org/W1559167525","https://openalex.org/W4301711607","https://openalex.org/W2264209468","https://openalex.org/W2114058479","https://openalex.org/W3006935326","https://openalex.org/W1510554082","https://openalex.org/W2082415475"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,107],"present":[4],"a":[5,23,36,51,103],"novel":[6],"calculus":[7],"of":[8,35,64,72,90,125],"inductive":[9,43],"linear":[10,14,30,42,55],"constructions":[11],"(CILC),":[12],"combining":[13],"types":[15],"and":[16,77,114,121],"dependent":[17,31],"types.":[18,44],"Our":[19],"type":[20],"theory":[21,89],"addresses":[22],"looming":[24],"issue":[25],"in":[26,50,98,129],"the":[27,33,54,62,70,86,99,126,130],"research":[28],"on":[29],"types:":[32],"lack":[34],"general":[37],"mechanism":[38],"for":[39],"defining":[40],"sound":[41,97],"CILC":[45,110],"allows":[46],"one":[47],"to":[48],"encode":[49],"straightforward":[52],"manner":[53],"connectives":[56],"that":[57,94,109],"must":[58],"be":[59],"baked":[60],"into":[61],"core":[63],"other":[65],"systems.":[66],"This":[67],"greatly":[68],"lowers":[69],"difficulty":[71],"encoding":[73],"various":[74],"data":[75],"structures":[76],"makes":[78],"writing":[79],"non-trivial":[80],"programs":[81],"humanly":[82],"feasible.":[83],"We":[84,118],"study":[85],"standard":[87],"meta":[88],"our":[91],"calculus,":[92],"showing":[93],"it":[95],"is":[96],"usual":[100],"sense.":[101],"Through":[102],"heap-based":[104],"operational":[105],"semantics,":[106],"show":[108],"safely":[111],"manipulates":[112],"resources":[113],"runs":[115],"memory":[116],"clean.":[117],"have":[119],"formalized":[120],"proven":[122],"correct":[123],"most":[124],"reported":[127],"results":[128],"Coq":[131],"Proof":[132],"Assistant.":[133]},"counts_by_year":[],"updated_date":"2025-12-21T01:58:51.020947","created_date":"2025-10-10T00:00:00"}
