{"id":"https://openalex.org/W2051266796","doi":"https://doi.org/10.1016/s1571-0661(05)80733-9","title":"Quantales as completions of ordered monoids: Revised semantics for Intuitionistic Linear Logic","display_name":"Quantales as completions of ordered monoids: Revised semantics for Intuitionistic Linear Logic","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2051266796","doi":"https://doi.org/10.1016/s1571-0661(05)80733-9","mag":"2051266796"},"language":"en","primary_location":{"id":"doi:10.1016/s1571-0661(05)80733-9","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(05)80733-9","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1016/s1571-0661(05)80733-9","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069943669","display_name":"Dominique Larchey-Wendling","orcid":"https://orcid.org/0000-0001-9860-7203"},"institutions":[{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]},{"id":"https://openalex.org/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"D. Larchey-Wendling","raw_affiliation_strings":["LORI A UMR 7503 - Universit\u00e9 Henri Poincar\u00e9 Campus Scientifique, BP 239, 54506 Vand\u00e6uvre-l\u00e8s-Nancy, France"],"affiliations":[{"raw_affiliation_string":"LORI A UMR 7503 - Universit\u00e9 Henri Poincar\u00e9 Campus Scientifique, BP 239, 54506 Vand\u00e6uvre-l\u00e8s-Nancy, France","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I4210121838"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031692169","display_name":"Didier Galmiche","orcid":"https://orcid.org/0000-0002-9968-5323"},"institutions":[{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]},{"id":"https://openalex.org/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"D. Galmiche","raw_affiliation_strings":["LORI A UMR 7503 - Universit\u00e9 Henri Poincar\u00e9 Campus Scientifique, BP 239, 54506 Vand\u00e6uvre-l\u00e8s-Nancy, France"],"affiliations":[{"raw_affiliation_string":"LORI A UMR 7503 - Universit\u00e9 Henri Poincar\u00e9 Campus Scientifique, BP 239, 54506 Vand\u00e6uvre-l\u00e8s-Nancy, France","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I4210121838"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5069943669"],"corresponding_institution_ids":["https://openalex.org/I4210121838","https://openalex.org/I90183372"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.1233302,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"35","issue":null,"first_page":"94","last_page":"108"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9997000098228455,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9987999796867371,"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/embedding","display_name":"Embedding","score":0.6979807615280151},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.596767783164978},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.5361900329589844},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.4590422809123993},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.4559694826602936},{"id":"https://openalex.org/keywords/intuitionistic-logic","display_name":"Intuitionistic logic","score":0.43878355622291565},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4002760648727417},{"id":"https://openalex.org/keywords/linear-logic","display_name":"Linear logic","score":0.38203808665275574},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3699535131454468},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.290976345539093},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28621894121170044},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.17769405245780945},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0991104245185852}],"concepts":[{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.6979807615280151},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.596767783164978},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.5361900329589844},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.4590422809123993},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.4559694826602936},{"id":"https://openalex.org/C178421362","wikidata":"https://www.wikidata.org/wiki/Q176786","display_name":"Intuitionistic logic","level":3,"score":0.43878355622291565},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4002760648727417},{"id":"https://openalex.org/C28077239","wikidata":"https://www.wikidata.org/wiki/Q841728","display_name":"Linear logic","level":2,"score":0.38203808665275574},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3699535131454468},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.290976345539093},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28621894121170044},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.17769405245780945},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0991104245185852},{"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/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s1571-0661(05)80733-9","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(05)80733-9","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.35.3093","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.35.3093","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.loria.fr/~galmiche/=papers/Domsem.ps.Z","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1016/s1571-0661(05)80733-9","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(05)80733-9","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4099999964237213,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W147093031","https://openalex.org/W1529787579","https://openalex.org/W1590029082","https://openalex.org/W1928448741","https://openalex.org/W1989713129","https://openalex.org/W1990495483","https://openalex.org/W2012968289","https://openalex.org/W2070324762","https://openalex.org/W2073123281","https://openalex.org/W2078432227","https://openalex.org/W2095436832","https://openalex.org/W2106458801","https://openalex.org/W2120713972","https://openalex.org/W2148761448","https://openalex.org/W2153388953","https://openalex.org/W2180774571","https://openalex.org/W2620760581","https://openalex.org/W2911865844","https://openalex.org/W3043060850","https://openalex.org/W6606070266","https://openalex.org/W6631694651","https://openalex.org/W6640705398"],"related_works":["https://openalex.org/W1972490368","https://openalex.org/W2085305950","https://openalex.org/W31250260","https://openalex.org/W2119207094","https://openalex.org/W4224444481","https://openalex.org/W2051266796","https://openalex.org/W2951927819","https://openalex.org/W4302086645","https://openalex.org/W2186018041","https://openalex.org/W2036685181"],"abstract_inverted_index":{"The":[0],"aim":[1],"of":[2,11,17,28,37],"this":[3],"paper":[4],"is":[5],"to":[6,22,25],"propose":[7,45],"a":[8,57],"unified":[9],"analysis":[10],"the":[12,15,35],"relationships":[13],"between":[14],"notions":[16],"order":[18],"and":[19,21,42,48,64],"closure":[20],"relate":[23],"it":[24],"different":[26],"semantics":[27,59],"Intuitionistic":[29],"Linear":[30],"Logic":[31],"(ILL).":[32],"We":[33],"study":[34],"embedding":[36],"ordered":[38,62],"monoids":[39,63],"into":[40],"quantales":[41],"then":[43],"we":[44,55],"general":[46],"constructions":[47],"results":[49,68],"about":[50],"such":[51],"an":[52],"embedding.":[53],"Therefore":[54],"obtain":[56],"new":[58,66],"based":[60],"on":[61],"also":[65],"completeness":[67],"for":[69],"ILL.":[70]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}