{"id":"https://openalex.org/W4389978308","doi":"https://doi.org/10.46298/lmcs-19(4:31)2023","title":"The syntactic side of autonomous categories enriched over generalised metric spaces","display_name":"The syntactic side of autonomous categories enriched over generalised metric spaces","publication_year":2023,"publication_date":"2023-12-18","ids":{"openalex":"https://openalex.org/W4389978308","doi":"https://doi.org/10.46298/lmcs-19(4:31)2023"},"language":"en","primary_location":{"id":"doi:10.46298/lmcs-19(4:31)2023","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-19(4:31)2023","pdf_url":"https://lmcs.episciences.org/12719/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/12719/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069664027","display_name":"Fredrik Dahlqvist","orcid":"https://orcid.org/0000-0003-2555-0490"},"institutions":[{"id":"https://openalex.org/I166337079","display_name":"Queen Mary University of London","ror":"https://ror.org/026zzn846","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I166337079"]},{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Fredrik Dahlqvist","raw_affiliation_strings":["Queen Mary University of London and University College London"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Queen Mary University of London and University College London","institution_ids":["https://openalex.org/I166337079","https://openalex.org/I45129253"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089182045","display_name":"Renato Neves","orcid":"https://orcid.org/0000-0002-8787-2551"},"institutions":[{"id":"https://openalex.org/I4210094528","display_name":"Evangelische Hochschule Berlin","ror":"https://ror.org/007bw6q41","country_code":"DE","type":"education","lineage":["https://openalex.org/I4210094528"]},{"id":"https://openalex.org/I4210163266","display_name":"Inesc P&D Brasil","ror":"https://ror.org/05yps4z32","country_code":"BR","type":"nonprofit","lineage":["https://openalex.org/I4210163266"]},{"id":"https://openalex.org/I4210166615","display_name":"INESC TEC","ror":"https://ror.org/05fa8ka61","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210125590","https://openalex.org/I4210166615"]},{"id":"https://openalex.org/I99682543","display_name":"University of Minho","ror":"https://ror.org/037wpkx04","country_code":"PT","type":"education","lineage":["https://openalex.org/I99682543"]}],"countries":["BR","DE","PT"],"is_corresponding":false,"raw_author_name":"Renato Neves","raw_affiliation_strings":["300 , San Francisco , CA 94105 , USA , or Eisenacher Strasse 2 , 10777 Berlin , Germany","University of Minho and INESC-TEC"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"300 , San Francisco , CA 94105 , USA , or Eisenacher Strasse 2 , 10777 Berlin , Germany","institution_ids":["https://openalex.org/I4210094528"]},{"raw_affiliation_string":"University of Minho and INESC-TEC","institution_ids":["https://openalex.org/I4210163266","https://openalex.org/I4210166615","https://openalex.org/I99682543"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2583,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.65827998,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"Volume 19, Issue 4","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.998199999332428,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.998199999332428,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.9927999973297119,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9911999702453613,"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/metric-space","display_name":"Metric space","score":0.645114004611969},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6340588331222534},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6241246461868286},{"id":"https://openalex.org/keywords/logical-equivalence","display_name":"Logical equivalence","score":0.5664064288139343},{"id":"https://openalex.org/keywords/lambda-calculus","display_name":"Lambda calculus","score":0.4924963414669037},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4787032902240753},{"id":"https://openalex.org/keywords/t-norm","display_name":"T-norm","score":0.4635682702064514},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4585511386394501},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.4280428886413574},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.4251709580421448},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.42392539978027344},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4084320664405823},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23697808384895325},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.11483100056648254}],"concepts":[{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.645114004611969},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6340588331222534},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6241246461868286},{"id":"https://openalex.org/C70846408","wikidata":"https://www.wikidata.org/wiki/Q220433","display_name":"Logical equivalence","level":3,"score":0.5664064288139343},{"id":"https://openalex.org/C135790938","wikidata":"https://www.wikidata.org/wiki/Q242028","display_name":"Lambda calculus","level":2,"score":0.4924963414669037},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4787032902240753},{"id":"https://openalex.org/C2721081","wikidata":"https://www.wikidata.org/wiki/Q2383161","display_name":"T-norm","level":5,"score":0.4635682702064514},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4585511386394501},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.4280428886413574},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.4251709580421448},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.42392539978027344},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4084320664405823},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23697808384895325},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.11483100056648254},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.46298/lmcs-19(4:31)2023","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-19(4:31)2023","pdf_url":"https://lmcs.episciences.org/12719/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:e457996cd4ab49bea3eb768fdd90effd","is_oa":true,"landing_page_url":"https://doaj.org/article/e457996cd4ab49bea3eb768fdd90effd","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, Vol Volume 19, Issue 4 (2023)","raw_type":"article"},{"id":"pmh:oai:repositorium.sdum.uminho.pt:1822/89543","is_oa":true,"landing_page_url":"https://hdl.handle.net/1822/89543","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:repositorium.uminho.pt:1822/89543","is_oa":true,"landing_page_url":"http://doi.org/10.46298/lmcs-19(4:31)2023","pdf_url":null,"source":null,"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.46298/lmcs-19(4:31)2023","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-19(4:31)2023","pdf_url":"https://lmcs.episciences.org/12719/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4300000071525574,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G7872908177","display_name":"M\u00e9todos quantitativos para a programa\u00e7\u00e3o ciber-f\u00edsica: Uma abordagem precisa para racicionar sobre imprecis\u00f5es na computa\u00e7\u00e3o ciber-f\u00edsica","funder_award_id":"PTDC/CCI-COM/4280/2021","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"}],"funders":[{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4389978308.pdf","grobid_xml":"https://content.openalex.org/works/W4389978308.grobid-xml"},"referenced_works_count":50,"referenced_works":["https://openalex.org/W53839316","https://openalex.org/W58260654","https://openalex.org/W87906459","https://openalex.org/W135301368","https://openalex.org/W438549760","https://openalex.org/W1483535695","https://openalex.org/W1507692549","https://openalex.org/W1525647423","https://openalex.org/W1549977012","https://openalex.org/W1578654632","https://openalex.org/W1590432342","https://openalex.org/W1594900487","https://openalex.org/W1859542606","https://openalex.org/W1971256104","https://openalex.org/W1999626800","https://openalex.org/W2006319938","https://openalex.org/W2011715172","https://openalex.org/W2015034783","https://openalex.org/W2020879982","https://openalex.org/W2024355065","https://openalex.org/W2046441464","https://openalex.org/W2067012475","https://openalex.org/W2077767282","https://openalex.org/W2090781610","https://openalex.org/W2097061283","https://openalex.org/W2153093278","https://openalex.org/W2158789193","https://openalex.org/W2273719480","https://openalex.org/W2324455841","https://openalex.org/W2515656721","https://openalex.org/W2531185145","https://openalex.org/W2595263283","https://openalex.org/W2744496130","https://openalex.org/W2753543077","https://openalex.org/W2798712453","https://openalex.org/W2804172638","https://openalex.org/W2964755768","https://openalex.org/W2968188570","https://openalex.org/W2994797498","https://openalex.org/W3091815692","https://openalex.org/W3098813111","https://openalex.org/W3126124413","https://openalex.org/W3176607658","https://openalex.org/W3185759631","https://openalex.org/W3217207035","https://openalex.org/W4210839962","https://openalex.org/W4212778977","https://openalex.org/W4233993919","https://openalex.org/W4246294049","https://openalex.org/W4362679121"],"related_works":["https://openalex.org/W2088439120","https://openalex.org/W848760324","https://openalex.org/W2364490694","https://openalex.org/W2085506533","https://openalex.org/W272951841","https://openalex.org/W2074282135","https://openalex.org/W207051717","https://openalex.org/W2035063966","https://openalex.org/W4297671822","https://openalex.org/W2028830311"],"abstract_inverted_index":{"Programs":[0],"with":[1,9,73,127,144],"a":[2,44,65,74,100,106],"continuous":[3],"state":[4],"space":[5],"or":[6,28],"that":[7,76,91,102,154],"interact":[8],"physical":[10],"processes":[11],"often":[12],"require":[13],"notions":[14],"of":[15,39,51,64,108,137,170,182],"equivalence":[16,25,40,126,143],"going":[17],"beyond":[18],"the":[19,37,49,62,135,160,180],"standard":[20],"binary":[21],"setting":[22,181],"in":[23,43,179],"which":[24,47],"either":[26],"holds":[27],"does":[29],"not":[30],"hold.":[31],"In":[32,82,134],"this":[33,96,119,155],"paper":[34],"we":[35,84,117,123,140],"explore":[36],"idea":[38],"taking":[41],"values":[42],"quantale":[45],"V,":[46],"covers":[48],"cases":[50],"(in)equations":[52],"and":[53,80,172,185],"(ultra)metric":[54,138,149],"equations":[55],"among":[56],"others.":[57],"Our":[58],"main":[59],"result":[60,120],"is":[61,78,103],"introduction":[63],"V-equational":[66,97],"deductive":[67],"system":[68,98],"for":[69,176],"linear":[70,92],"{\\lambda}-calculus":[71],"together":[72],"proof":[75],"it":[77],"sound":[79],"complete.":[81],"fact":[83],"go":[85],"further":[86],"than":[87],"this,":[88],"by":[89],"showing":[90],"{\\lambda}-theories":[93],"based":[94],"on":[95],"form":[99],"category":[101,107],"equivalent":[104],"to":[105,121,159,167],"autonomous":[109,128,145],"categories":[110,129,146],"enriched":[111,130,147],"over":[112,131,148],"'generalised":[113],"metric":[114,173],"spaces'.":[115],"If":[116],"instantiate":[118],"inequations,":[122],"get":[124,141],"an":[125,142],"partial":[132],"orders.":[133],"case":[136],"equations,":[139],"spaces.":[150],"We":[151,163],"additionally":[152],"show":[153],"syntax-semantics":[156],"correspondence":[157],"extends":[158],"affine":[161],"setting.":[162],"use":[164],"our":[165],"results":[166],"develop":[168],"examples":[169],"inequational":[171],"equational":[174],"systems":[175],"higher-order":[177],"programming":[178],"real-time,":[183],"probabilistic,":[184],"quantum":[186],"computing.":[187]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-08-22T07:34:49.880490","created_date":"2025-10-10T00:00:00"}
