{"id":"https://openalex.org/W4386874842","doi":"https://doi.org/10.1145/3819821","title":"A Two-Level Linear Dependent Type Theory","display_name":"A Two-Level Linear Dependent Type Theory","publication_year":2026,"publication_date":"2026-06-10","ids":{"openalex":"https://openalex.org/W4386874842","doi":"https://doi.org/10.1145/3819821"},"language":"en","primary_location":{"id":"doi:10.1145/3819821","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3819821","pdf_url":null,"source":{"id":"https://openalex.org/S117153874","display_name":"ACM Transactions on Computational Logic","issn_l":"1529-3785","issn":["1529-3785","1557-945X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computational Logic","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1145/3819821","any_repository_has_fulltext":true},"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":false,"raw_author_name":"Qiancheng Fu","raw_affiliation_strings":["Boston University, Boston, Massachusetts, USA"],"raw_orcid":"https://orcid.org/0000-0002-5234-8565","affiliations":[{"raw_affiliation_string":"Boston University, Boston, Massachusetts, 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, Boston, Massachusetts, USA"],"raw_orcid":"https://orcid.org/0000-0003-1289-7794","affiliations":[{"raw_affiliation_string":"Boston University, Boston, Massachusetts, USA","institution_ids":["https://openalex.org/I111088046"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I111088046"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00157019,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"27","issue":"3","first_page":"1","last_page":"33"},"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/T10142","display_name":"Formal Methods in Verification","score":0.9950000047683716,"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/T10260","display_name":"Software Engineering Research","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/correctness","display_name":"Correctness","score":0.7659626007080078},{"id":"https://openalex.org/keywords/type-theory","display_name":"Type theory","score":0.7523506879806519},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.7033648490905762},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6851449608802795},{"id":"https://openalex.org/keywords/operational-semantics","display_name":"Operational semantics","score":0.6101946830749512},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.5891481637954712},{"id":"https://openalex.org/keywords/type-safety","display_name":"Type safety","score":0.47539007663726807},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.4730716645717621},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.46771684288978577},{"id":"https://openalex.org/keywords/heap","display_name":"Heap (data structure)","score":0.4637238681316376},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4612279236316681},{"id":"https://openalex.org/keywords/dependency","display_name":"Dependency (UML)","score":0.44566312432289124},{"id":"https://openalex.org/keywords/separation-logic","display_name":"Separation logic","score":0.4381335973739624},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19188308715820312},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19022756814956665}],"concepts":[{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.7659626007080078},{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.7523506879806519},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7033648490905762},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6851449608802795},{"id":"https://openalex.org/C156325763","wikidata":"https://www.wikidata.org/wiki/Q1930895","display_name":"Operational semantics","level":3,"score":0.6101946830749512},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.5891481637954712},{"id":"https://openalex.org/C44779574","wikidata":"https://www.wikidata.org/wiki/Q736866","display_name":"Type safety","level":2,"score":0.47539007663726807},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.4730716645717621},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.46771684288978577},{"id":"https://openalex.org/C134757568","wikidata":"https://www.wikidata.org/wiki/Q274089","display_name":"Heap (data structure)","level":2,"score":0.4637238681316376},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4612279236316681},{"id":"https://openalex.org/C19768560","wikidata":"https://www.wikidata.org/wiki/Q320727","display_name":"Dependency (UML)","level":2,"score":0.44566312432289124},{"id":"https://openalex.org/C173856430","wikidata":"https://www.wikidata.org/wiki/Q3257964","display_name":"Separation logic","level":2,"score":0.4381335973739624},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19188308715820312},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19022756814956665},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/3819821","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3819821","pdf_url":null,"source":{"id":"https://openalex.org/S117153874","display_name":"ACM Transactions on Computational Logic","issn_l":"1529-3785","issn":["1529-3785","1557-945X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computational Logic","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2309.08673","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2309.08673","pdf_url":"https://arxiv.org/pdf/2309.08673","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2309.08673","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2309.08673","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"Preprint"}],"best_oa_location":{"id":"doi:10.1145/3819821","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3819821","pdf_url":null,"source":{"id":"https://openalex.org/S117153874","display_name":"ACM Transactions on Computational Logic","issn_l":"1529-3785","issn":["1529-3785","1557-945X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computational Logic","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.41999998688697815,"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4296607663","https://openalex.org/W1481101394","https://openalex.org/W4290679430","https://openalex.org/W2479659155","https://openalex.org/W2950271872","https://openalex.org/W2374055244","https://openalex.org/W4283582377","https://openalex.org/W4287240968","https://openalex.org/W2594835963","https://openalex.org/W3102946249"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,15,20,73,131],"type":[3,117],"theory":[4],"combining":[5],"both":[6],"linearity":[7],"and":[8,19,28,47,59,86,126],"dependency":[9],"by":[10],"stratifying":[11],"typing":[12],"rules":[13],"into":[14,103],"level":[16,21,106],"for":[17,22,93,107],"logics":[18,27],"programs.":[23],"The":[24],"distinction":[25],"between":[26],"programs":[29,63,81,98,125],"decouples":[30],"their":[31,69,128],"semantics,":[32,76],"allowing":[33],"the":[34,42,91,104,112],"semantics":[35],"to":[36,40,122],"be":[37,100],"independently":[38],"tailored":[39],"suit":[41],"needs":[43],"of":[44,52,114],"theorem":[45],"proving":[46],"programming.":[48],"A":[49],"natural":[50],"notion":[51],"irrelevancy":[53],"is":[54],"established":[55],"where":[56],"all":[57],"proofs":[58,110],"types":[60],"occurring":[61],"inside":[62],"are":[64],"fully":[65],"erasable":[66],"without":[67,90],"compromising":[68],"operational":[70,75],"behavior.":[71],"Through":[72],"heap-based":[74],"we":[77],"show":[78],"that":[79],"extracted":[80],"always":[82],"make":[83],"computational":[84],"progress":[85],"run":[87],"memory":[88],"clean":[89],"need":[92],"runtime":[94],"garbage":[95],"collection.":[96],"Additionally,":[97],"can":[99],"freely":[101],"lifted":[102],"logical":[105],"conducting":[108],"deep":[109],"in":[111],"style":[113],"standard":[115],"dependent":[116],"theories.":[118],"This":[119],"enables":[120],"one":[121],"write":[123],"resource-safe":[124],"verify":[127],"correctness":[129],"using":[130],"unified":[132],"language.":[133]},"counts_by_year":[],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
