{"id":"https://openalex.org/W4403876945","doi":"https://doi.org/10.46298/lmcs-20(4:9)2024","title":"Sum and Tensor of Quantitative Effects","display_name":"Sum and Tensor of Quantitative Effects","publication_year":2024,"publication_date":"2024-10-29","ids":{"openalex":"https://openalex.org/W4403876945","doi":"https://doi.org/10.46298/lmcs-20(4:9)2024"},"language":"en","primary_location":{"id":"doi:10.46298/lmcs-20(4:9)2024","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-20(4:9)2024","pdf_url":"https://lmcs.episciences.org/14636/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/14636/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044883502","display_name":"Giorgio Bacci","orcid":"https://orcid.org/0000-0003-4004-6049"},"institutions":[{"id":"https://openalex.org/I891191580","display_name":"Aalborg University","ror":"https://ror.org/04m5j1k67","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"Giorgio Bacci","raw_affiliation_strings":["Department of Computer Science, Aalborg University, Aalborg, Denmark"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Aalborg University, Aalborg, Denmark","institution_ids":["https://openalex.org/I891191580"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060646027","display_name":"Radu Mardare","orcid":"https://orcid.org/0000-0001-8660-1832"},"institutions":[{"id":"https://openalex.org/I181647926","display_name":"University of Strathclyde","ror":"https://ror.org/00n3w3b69","country_code":"GB","type":"education","lineage":["https://openalex.org/I181647926"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Radu Mardare","raw_affiliation_strings":["Department of Computer & Information Sciences, University of Strathclyde, Glasgow, Scotland"],"affiliations":[{"raw_affiliation_string":"Department of Computer & Information Sciences, University of Strathclyde, Glasgow, Scotland","institution_ids":["https://openalex.org/I181647926"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068822568","display_name":"Prakash Panangaden","orcid":"https://orcid.org/0000-0001-8763-6172"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Prakash Panangaden","raw_affiliation_strings":["School of Computer Science, McGill University, Montreal, Canada"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, McGill University, Montreal, Canada","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070609290","display_name":"Gordon Plotkin","orcid":"https://orcid.org/0000-0001-8496-6096"},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Gordon Plotkin","raw_affiliation_strings":["LFCS, School of Informatics, University of Edinburgh, Edinburgh, Scotland"],"affiliations":[{"raw_affiliation_string":"LFCS, School of Informatics, University of Edinburgh, Edinburgh, Scotland","institution_ids":["https://openalex.org/I98677209"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5044883502"],"corresponding_institution_ids":["https://openalex.org/I891191580"],"apc_list":null,"apc_paid":null,"fwci":0.3407,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.675868,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"Volume 20, 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/T10126","display_name":"Logic, programming, and type systems","score":0.9984999895095825,"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":0.9984999895095825,"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":0.9983000159263611,"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":0.9955000281333923,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/monad","display_name":"Monad (category theory)","score":0.6196551322937012},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5848628878593445},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5256672501564026},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5070745944976807},{"id":"https://openalex.org/keywords/tensor-product","display_name":"Tensor product","score":0.4980893135070801},{"id":"https://openalex.org/keywords/distributive-property","display_name":"Distributive property","score":0.45007777214050293},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.4333404004573822},{"id":"https://openalex.org/keywords/algebraic-theory","display_name":"Algebraic theory","score":0.4224960505962372},{"id":"https://openalex.org/keywords/categorical-variable","display_name":"Categorical variable","score":0.4127534329891205},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37809890508651733},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3196328282356262}],"concepts":[{"id":"https://openalex.org/C33959348","wikidata":"https://www.wikidata.org/wiki/Q1630568","display_name":"Monad (category theory)","level":3,"score":0.6196551322937012},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5848628878593445},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5256672501564026},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5070745944976807},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.4980893135070801},{"id":"https://openalex.org/C11821877","wikidata":"https://www.wikidata.org/wiki/Q187959","display_name":"Distributive property","level":2,"score":0.45007777214050293},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.4333404004573822},{"id":"https://openalex.org/C2779782106","wikidata":"https://www.wikidata.org/wiki/Q4724020","display_name":"Algebraic theory","level":3,"score":0.4224960505962372},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.4127534329891205},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37809890508651733},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3196328282356262},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.46298/lmcs-20(4:9)2024","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-20(4:9)2024","pdf_url":"https://lmcs.episciences.org/14636/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:pure.atira.dk:publications/9d1d8fd8-53b0-440c-8906-98e697ed493f","is_oa":true,"landing_page_url":"https://vbn.aau.dk/da/publications/9d1d8fd8-53b0-440c-8906-98e697ed493f","pdf_url":"https://vbn.aau.dk/ws/files/765048988/2212.11784.pdf","source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"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":"Bacci, G, Mardare, R, Panangaden, P & Plotkin, G 2024, 'Sum and Tensor of Quantitative Effects', Logical Methods in Computer Science, vol. 20, no. 4, pp. 9:1-9:62. https://doi.org/10.46298/lmcs-20(4:9)2024","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:doaj.org/article:4d71ffa41160431a85806c53db4b78bb","is_oa":true,"landing_page_url":"https://doaj.org/article/4d71ffa41160431a85806c53db4b78bb","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, Vol Volume 20, Issue 4 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.46298/lmcs-20(4:9)2024","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-20(4:9)2024","pdf_url":"https://lmcs.episciences.org/14636/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":[{"id":"https://metadata.un.org/sdg/16","score":0.7799999713897705,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G8348030197","display_name":"A correct-by-construction approach to approximate computation","funder_award_id":"EP/Y000455/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320314731","display_name":"UK Research and Innovation","ror":"https://ror.org/001aqnf71"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4403876945.pdf","grobid_xml":"https://content.openalex.org/works/W4403876945.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W69808434","https://openalex.org/W385466589","https://openalex.org/W1492679692","https://openalex.org/W1507692549","https://openalex.org/W1521014576","https://openalex.org/W1528269269","https://openalex.org/W1606211906","https://openalex.org/W1633776801","https://openalex.org/W1965620900","https://openalex.org/W1970598198","https://openalex.org/W1980827618","https://openalex.org/W1997143185","https://openalex.org/W2015172530","https://openalex.org/W2017778827","https://openalex.org/W2020531742","https://openalex.org/W2020879982","https://openalex.org/W2026028037","https://openalex.org/W2044178213","https://openalex.org/W2050029209","https://openalex.org/W2057431742","https://openalex.org/W2072351525","https://openalex.org/W2079655821","https://openalex.org/W2094414831","https://openalex.org/W2098115979","https://openalex.org/W2108489993","https://openalex.org/W2143666059","https://openalex.org/W2531185145","https://openalex.org/W2560355278","https://openalex.org/W2574983198","https://openalex.org/W2744496130","https://openalex.org/W2799266534","https://openalex.org/W3024760727","https://openalex.org/W3081526170","https://openalex.org/W3098518392","https://openalex.org/W3099143279","https://openalex.org/W3140557006","https://openalex.org/W3176572529","https://openalex.org/W3198931134","https://openalex.org/W3211550090","https://openalex.org/W4299533062","https://openalex.org/W4300127918"],"related_works":["https://openalex.org/W2138773009","https://openalex.org/W2904778759","https://openalex.org/W4287705132","https://openalex.org/W2127005761","https://openalex.org/W2078516608","https://openalex.org/W3043991061","https://openalex.org/W2101438978","https://openalex.org/W2964942624","https://openalex.org/W2057843304","https://openalex.org/W4283806176"],"abstract_inverted_index":{"Inspired":[0],"by":[1,62],"the":[2,11,27,52,86,97,129,148,154,178,192],"seminal":[3],"work":[4],"of":[5,13,29,42,54,76,90,105,115,198],"Hyland,":[6],"Plotkin,":[7],"and":[8,19,65,88,102,139,165,196],"Power":[9],"on":[10,40,120],"combination":[12,28],"algebraic":[14,31,34,49,151],"computational":[15,38],"effects":[16,35,39,107],"via":[17,194],"sum":[18,87,99,195],"tensor,":[20,103,197],"we":[21,83,146],"develop":[22],"an":[23,48,144],"analogous":[24],"theory":[25,114],"for":[26,73],"quantitative":[30,55,92,116,126,150,200],"effects.":[32],"Quantitative":[33],"are":[36],"monadic":[37],"categories":[41],"metric":[43],"spaces,":[44],"which,":[45],"moreover,":[46],"have":[47,188],"presentation":[50],"in":[51,181],"form":[53],"equational":[56,69,93,201],"theories,":[57],"a":[58,74,113],"logical":[59],"framework":[60],"introduced":[61],"Mardare,":[63],"Panangaden,":[64],"Plotkin":[66],"that":[67,85],"generalises":[68],"logic":[70],"to":[71,96,128,134,153],"account":[72],"concept":[75],"approximate":[77],"equality.":[78],"As":[79],"our":[80],"main":[81],"result,":[82],"show":[84],"tensor":[89],"two":[91,122],"theories":[94],"correspond":[95],"categorical":[98],"(i.e.,":[100],"coproduct)":[101],"respectively,":[104],"their":[106,172],"qua":[108],"monads.":[109],"We":[110],"further":[111],"give":[112],"effect":[117],"transformers":[118,132],"based":[119],"these":[121,182],"operations,":[123],"essentially":[124],"providing":[125],"analogues":[127],"following":[130,155],"monad":[131],"due":[133],"Moggi:":[135],"exception,":[136],"resumption,":[137],"reader,":[138],"writer":[140],"transformers.":[141],"Finally,":[142],"as":[143,191],"application,":[145],"provide":[147],"first":[149],"axiomatizations":[152],"coalgebraic":[156],"structures:":[157],"Markov":[158,161,166],"processes,":[159,162,168],"labelled":[160],"Mealy":[163],"machines,":[164],"decision":[167],"each":[169],"endowed":[170],"with":[171],"respective":[173],"bisimilarity":[174],"metrics.":[175],"Apart":[176],"from":[177],"intrinsic":[179],"interest":[180],"axiomatizations,":[183],"it":[184],"is":[185],"pleasing":[186],"they":[187],"been":[189],"obtained":[190],"composition,":[193],"simpler":[199],"theories.":[202]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
