{"id":"https://openalex.org/W4405306707","doi":"https://doi.org/10.1145/3703595.3705873","title":"Intrinsically Correct Sorting in Cubical Agda","display_name":"Intrinsically Correct Sorting in Cubical Agda","publication_year":2025,"publication_date":"2025-01-10","ids":{"openalex":"https://openalex.org/W4405306707","doi":"https://doi.org/10.1145/3703595.3705873"},"language":"en","primary_location":{"id":"doi:10.1145/3703595.3705873","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3703595.3705873","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3703595.3705873","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 14th ACM SIGPLAN International Conference on Certified Programs and Proofs","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3703595.3705873","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5115408656","display_name":"Cass Alexandru","orcid":"https://orcid.org/0009-0008-5210-2873"},"institutions":[{"id":"https://openalex.org/I4387152675","display_name":"Rheinland-Pf\u00e4lzische Technische Universit\u00e4t Kaiserslautern-Landau","ror":"https://ror.org/01qrts582","country_code":"DE","type":"education","lineage":["https://openalex.org/I4387152675"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Cass Alexandru","raw_affiliation_strings":["RPTU Kaiserslautern-Landau, Kaiserslautern, Germany"],"raw_orcid":"https://orcid.org/0009-0008-5210-2873","affiliations":[{"raw_affiliation_string":"RPTU Kaiserslautern-Landau, Kaiserslautern, Germany","institution_ids":["https://openalex.org/I4387152675"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070491904","display_name":"Vikraman Choudhury","orcid":"https://orcid.org/0000-0003-2030-8056"},"institutions":[{"id":"https://openalex.org/I4210106545","display_name":"Centre Inria d'Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/01nzkaw91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I201841394","https://openalex.org/I4210106545"]},{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["FR","IT"],"is_corresponding":false,"raw_author_name":"Vikraman Choudhury","raw_affiliation_strings":["Inria Sophia Antipolis, Valbonne, France","University of Bologna, Bologna, Italy"],"raw_orcid":"https://orcid.org/0000-0003-2030-8056","affiliations":[{"raw_affiliation_string":"Inria Sophia Antipolis, Valbonne, France","institution_ids":["https://openalex.org/I4210106545"]},{"raw_affiliation_string":"University of Bologna, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015520868","display_name":"Jurriaan Rot","orcid":"https://orcid.org/0000-0002-1404-6232"},"institutions":[{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Jurriaan Rot","raw_affiliation_strings":["Radboud University Nijmegen, Nijmegen, Netherlands","Radboud University [Nijmegen] (Houtlaan 4, \r\n6525 XZ Nijmegen - Netherlands)"],"raw_orcid":"https://orcid.org/0000-0002-1404-6232","affiliations":[{"raw_affiliation_string":"Radboud University Nijmegen, Nijmegen, Netherlands","institution_ids":["https://openalex.org/I145872427"]},{"raw_affiliation_string":"Radboud University [Nijmegen] (Houtlaan 4, \r\n6525 XZ Nijmegen - Netherlands)","institution_ids":["https://openalex.org/I145872427"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053770022","display_name":"Niels van der Weide","orcid":"https://orcid.org/0000-0003-1146-4161"},"institutions":[{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Niels van der Weide","raw_affiliation_strings":["Radboud University Nijmegen, Nijmegen, Netherlands","Radboud University [Nijmegen] (Houtlaan 4, \r\n6525 XZ Nijmegen - Netherlands)"],"raw_orcid":"https://orcid.org/0000-0003-1146-4161","affiliations":[{"raw_affiliation_string":"Radboud University Nijmegen, Nijmegen, Netherlands","institution_ids":["https://openalex.org/I145872427"]},{"raw_affiliation_string":"Radboud University [Nijmegen] (Houtlaan 4, \r\n6525 XZ Nijmegen - Netherlands)","institution_ids":["https://openalex.org/I145872427"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1081,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.74938071,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"34","last_page":"49"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10317","display_name":"Advanced Database Systems and Queries","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10317","display_name":"Advanced Database Systems and Queries","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10126","display_name":"Logic, programming, and type systems","score":0.9952999949455261,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9886999726295471,"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/sorting-algorithm","display_name":"Sorting algorithm","score":0.7672742605209351},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7466003894805908},{"id":"https://openalex.org/keywords/sorting","display_name":"Sorting","score":0.6910762786865234},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.575589656829834},{"id":"https://openalex.org/keywords/distributive-property","display_name":"Distributive property","score":0.5565742254257202},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5312649607658386},{"id":"https://openalex.org/keywords/sort","display_name":"sort","score":0.5268834233283997},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.430447518825531},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.42075857520103455},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37810561060905457},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2991006076335907},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24576041102409363},{"id":"https://openalex.org/keywords/database","display_name":"Database","score":0.09500396251678467}],"concepts":[{"id":"https://openalex.org/C108094655","wikidata":"https://www.wikidata.org/wiki/Q181593","display_name":"Sorting algorithm","level":3,"score":0.7672742605209351},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7466003894805908},{"id":"https://openalex.org/C111696304","wikidata":"https://www.wikidata.org/wiki/Q2303697","display_name":"Sorting","level":2,"score":0.6910762786865234},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.575589656829834},{"id":"https://openalex.org/C11821877","wikidata":"https://www.wikidata.org/wiki/Q187959","display_name":"Distributive property","level":2,"score":0.5565742254257202},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5312649607658386},{"id":"https://openalex.org/C88548561","wikidata":"https://www.wikidata.org/wiki/Q347599","display_name":"sort","level":2,"score":0.5268834233283997},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.430447518825531},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.42075857520103455},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37810561060905457},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2991006076335907},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24576041102409363},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.09500396251678467},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1145/3703595.3705873","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3703595.3705873","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3703595.3705873","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 14th ACM SIGPLAN International Conference on Certified Programs and Proofs","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2412.08362","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2412.08362","pdf_url":"https://arxiv.org/pdf/2412.08362","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-04838255v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04838255","pdf_url":"https://hal.science/hal-04838255v1/file/2412.08362v1.pdf","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"CPP 2025 - Certified Programs and Proofs, Jan 2025, Denver (Colorado), United States. &#x27E8;10.1145/3703595.3705873&#x27E9;","raw_type":"Conference papers"},{"id":"pmh:oai:repository.ubn.ru.nl:2066/316735","is_oa":true,"landing_page_url":"https://hdl.handle.net/2066/316735","pdf_url":"https://repository.ubn.ru.nl//bitstream/handle/2066/316735/316735.pdf","source":{"id":"https://openalex.org/S4306401067","display_name":"Radboud Repository (Radboud University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I145872427","host_organization_name":"Radboud University Nijmegen","host_organization_lineage":["https://openalex.org/I145872427"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article in monograph or in proceedings"}],"best_oa_location":{"id":"doi:10.1145/3703595.3705873","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3703595.3705873","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3703595.3705873","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 14th ACM SIGPLAN International Conference on Certified Programs and Proofs","raw_type":"proceedings-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.8199999928474426}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4405306707.pdf"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W30305552","https://openalex.org/W50416634","https://openalex.org/W215189873","https://openalex.org/W1489795251","https://openalex.org/W1528269269","https://openalex.org/W1596840381","https://openalex.org/W1969279113","https://openalex.org/W1988136938","https://openalex.org/W1991089831","https://openalex.org/W1995618084","https://openalex.org/W2024873396","https://openalex.org/W2057843304","https://openalex.org/W2062887328","https://openalex.org/W2098691999","https://openalex.org/W2101032471","https://openalex.org/W2106718208","https://openalex.org/W2123595703","https://openalex.org/W2124318699","https://openalex.org/W2128197690","https://openalex.org/W2533890487","https://openalex.org/W2751853904","https://openalex.org/W2775951081","https://openalex.org/W2900323387","https://openalex.org/W2964835846","https://openalex.org/W3106378979","https://openalex.org/W3160560668","https://openalex.org/W3207173474","https://openalex.org/W4213279211","https://openalex.org/W4232277105","https://openalex.org/W4244792373","https://openalex.org/W4388909348","https://openalex.org/W6893261272"],"related_works":["https://openalex.org/W2809748609","https://openalex.org/W2095055219","https://openalex.org/W2482527088","https://openalex.org/W3033694952","https://openalex.org/W2908348257","https://openalex.org/W4392178020","https://openalex.org/W2994182992","https://openalex.org/W2085265870","https://openalex.org/W2362374543","https://openalex.org/W2348196682"],"abstract_inverted_index":{"The":[0],"paper":[1],"\"Sorting":[2],"with":[3,82],"Bialgebras":[4],"and":[5,36,48],"Distributive":[6],"Laws\"":[7],"by":[8,72],"Hinze":[9],"et":[10],"al.":[11],"uses":[12],"the":[13,95,100,107],"framework":[14],"of":[15,30,39,86,102],"bialgebraic":[16,92],"semantics":[17,93],"to":[18,55,67,94],"define":[19,56],"sorting":[20,31,40,79,103],"algorithms.":[21],"From":[22],"distributive":[23,108],"laws":[24],"between":[25],"functors":[26],"they":[27],"construct":[28],"pairs":[29],"algorithms":[32,41,104],"using":[33],"both":[34],"folds":[35],"unfolds.":[37],"Pairs":[38],"arising":[42],"this":[43,53],"way":[44],"include":[45],"insertion/selection":[46],"sort":[47],"quick/tree":[49],"sort.":[50],"We":[51],"extend":[52],"work":[54],"intrinsically":[57],"correct":[58],"variants":[59],"in":[60],"cubical":[61],"Agda.":[62],"Our":[63],"key":[64],"idea":[65],"is":[66],"index":[68],"our":[69],"data":[70],"types":[71],"multisets,":[73],"which":[74],"concisely":[75],"captures":[76],"that":[77],"a":[78],"algorithm":[80],"terminates":[81],"an":[83],"ordered":[84],"permutation":[85],"its":[87],"input":[88],"list.":[89],"By":[90],"lifting":[91],"indexed":[96],"setting,":[97],"we":[98],"obtain":[99],"correctness":[101],"purely":[105],"from":[106],"law.":[109]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
