{"id":"https://openalex.org/W3135295277","doi":"https://doi.org/10.1007/978-3-030-71995-1_12","title":"Generalized Bounded Linear Logic and its Categorical Semantics","display_name":"Generalized Bounded Linear Logic and its Categorical Semantics","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3135295277","doi":"https://doi.org/10.1007/978-3-030-71995-1_12","mag":"3135295277"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-71995-1_12","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-71995-1_12","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-71995-1_12.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-71995-1_12.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090185450","display_name":"Y\u014dji Fukihara","orcid":"https://orcid.org/0000-0002-2197-9591"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Y\u014dji Fukihara","raw_affiliation_strings":["Kyoto University, Kyoto, Japan"],"affiliations":[{"raw_affiliation_string":"Kyoto University, Kyoto, Japan","institution_ids":["https://openalex.org/I22299242"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041431787","display_name":"Shin-ya Katsumata","orcid":"https://orcid.org/0000-0001-7529-5489"},"institutions":[{"id":"https://openalex.org/I184597095","display_name":"National Institute of Informatics","ror":"https://ror.org/04ksd4g47","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1319490839","https://openalex.org/I184597095","https://openalex.org/I4210158934"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shin-ya Katsumata","raw_affiliation_strings":["National Institute of Informatics, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"National Institute of Informatics, Tokyo, Japan","institution_ids":["https://openalex.org/I184597095"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5090185450"],"corresponding_institution_ids":["https://openalex.org/I22299242"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0444376,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"226","last_page":"246"},"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9988999962806702,"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":0.9965999722480774,"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/algebra-over-a-field","display_name":"Algebra over a field","score":0.4970903694629669},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.486870676279068},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4567190408706665},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.42685532569885254},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3837206959724426},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3716807961463928},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3527650833129883},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2612917423248291},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.17762914299964905}],"concepts":[{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4970903694629669},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.486870676279068},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4567190408706665},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.42685532569885254},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3837206959724426},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3716807961463928},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3527650833129883},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2612917423248291},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.17762914299964905},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-030-71995-1_12","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-71995-1_12","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-71995-1_12.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:pubmedcentral.nih.gov:7984114","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7984114","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"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":"Foundations of Software Science and Computation Structures","raw_type":"Text"},{"id":"pmh:oai:repository.kulib.kyoto-u.ac.jp:2433/261830","is_oa":false,"landing_page_url":"http://hdl.handle.net/2433/261830","pdf_url":null,"source":{"id":"https://openalex.org/S4306401454","display_name":"Kyoto University Research Information Repository (Kyoto University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I22299242","host_organization_name":"Kyoto University","host_organization_lineage":["https://openalex.org/I22299242"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"other"}],"best_oa_location":{"id":"doi:10.1007/978-3-030-71995-1_12","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-71995-1_12","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-71995-1_12.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3135295277.pdf","grobid_xml":"https://content.openalex.org/works/W3135295277.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W15833160","https://openalex.org/W111511002","https://openalex.org/W162215452","https://openalex.org/W1496335730","https://openalex.org/W1576144657","https://openalex.org/W1830196027","https://openalex.org/W1876875653","https://openalex.org/W1965630431","https://openalex.org/W1971256104","https://openalex.org/W1979524717","https://openalex.org/W1983399101","https://openalex.org/W1983656353","https://openalex.org/W2013843220","https://openalex.org/W2027193703","https://openalex.org/W2095867533","https://openalex.org/W2097061283","https://openalex.org/W2314990538","https://openalex.org/W2339107952","https://openalex.org/W2484189767","https://openalex.org/W2515656721","https://openalex.org/W2562060745","https://openalex.org/W2798013195","https://openalex.org/W2799182172","https://openalex.org/W2911865844","https://openalex.org/W2912476809","https://openalex.org/W2913601947","https://openalex.org/W2952320118","https://openalex.org/W2964755768","https://openalex.org/W3003163255","https://openalex.org/W3022418280","https://openalex.org/W3047163819","https://openalex.org/W3099908169","https://openalex.org/W4298195558"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2317200988","https://openalex.org/W3013085049","https://openalex.org/W2052122378","https://openalex.org/W2544423928","https://openalex.org/W2053286651","https://openalex.org/W1560496689","https://openalex.org/W4386900933","https://openalex.org/W2181743346"],"abstract_inverted_index":{"Abstract":[0],"We":[1,55,74,100,120],"introduce":[2,76],"a":[3,45,49,65,86,111,123,136],"generalization":[4],"of":[5,23,36,41,52,59,98,105,125,133,135],"Girard":[6],"et":[7],"al.\u2019s":[8],"called":[9],"(and":[10],"its":[11],"affine":[12],"variant":[13],").":[14],"It":[15],"is":[16,29,42],"designed":[17],"to":[18,32,43,70,113],"capture":[19],"the":[20,53,57,91,127,131,140,143],"core":[21],"mechanism":[22],"dependency":[24],"in":[25,61],",":[26,62],"while":[27],"it":[28],"also":[30],"able":[31],"separate":[33],"complexity":[34,58],"aspects":[35],".":[37,99],"The":[38],"main":[39],"feature":[40],"adopt":[44],"multi-object":[46],"pseudo-semiring":[47],"as":[48,85],"grading":[50],"system":[51],"!-modality.":[54],"analyze":[56],"cut-elimination":[60],"and":[63,110,138,150],"give":[64,101],"translation":[66],"from":[67],"with":[68,71,116,142],"constraints":[69],"positivity":[72],"axiom.":[73],"then":[75,121],"indexed":[77],"linear":[78],"exponential":[79],"comonads":[80],"(":[81],"ILEC":[82,106],"for":[83,89],"short)":[84],"categorical":[87],"structure":[88],"interpreting":[90],"$${!}$$":[92],"<mml:math":[93],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[94],"<mml:mo>!</mml:mo>":[95],"</mml:math>":[96],"-modality":[97],"an":[102],"elementary":[103],"example":[104],"using":[107,126],"folding":[108,128],"product,":[109],"technique":[112],"modify":[114],"ILECs":[115],"symmetric":[117],"monoidal":[118],"comonads.":[119],"consider":[122],"semantics":[124,141],"product":[129],"on":[130],"category":[132,145],"assemblies":[134],"BCI-algebra,":[137],"relate":[139],"realizability":[144],"studied":[146],"by":[147],"Hofmann,":[148],"Scott":[149],"Dal":[151],"Lago.":[152]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}