{"id":"https://openalex.org/W4289104061","doi":"https://doi.org/10.1007/978-3-031-10769-6_27","title":"Non-associative, Non-commutative Multi-modal Linear Logic","display_name":"Non-associative, Non-commutative Multi-modal Linear Logic","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4289104061","doi":"https://doi.org/10.1007/978-3-031-10769-6_27"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-10769-6_27","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-10769-6_27","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-10769-6_27.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/10.1007/978-3-031-10769-6_27.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032097827","display_name":"Eben Blaisdell","orcid":null},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Eben Blaisdell","raw_affiliation_strings":["Department of Mathematics, University of Pennsylvania, Philadelphia, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Pennsylvania, Philadelphia, USA","institution_ids":["https://openalex.org/I79576946"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048798287","display_name":"Max Kanovich","orcid":"https://orcid.org/0000-0002-7502-1653"},"institutions":[{"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":"Max Kanovich","raw_affiliation_strings":["Department of Computer Science, University College London, London, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University College London, London, UK","institution_ids":["https://openalex.org/I45129253"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071022257","display_name":"Stepan Kuznetsov","orcid":"https://orcid.org/0000-0003-0025-0133"},"institutions":[{"id":"https://openalex.org/I2801160905","display_name":"Steklov Mathematical Institute","ror":"https://ror.org/03zeg8w71","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801160905","https://openalex.org/I4210124601"]},{"id":"https://openalex.org/I118501908","display_name":"National Research University Higher School of Economics","ror":"https://ror.org/055f7t516","country_code":"RU","type":"education","lineage":["https://openalex.org/I118501908"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Stepan L. Kuznetsov","raw_affiliation_strings":["Faculty of Computer Science, HSE University, Moscow, Russia","Steklov Mathematical Institute of RAS, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science, HSE University, Moscow, Russia","institution_ids":["https://openalex.org/I118501908"]},{"raw_affiliation_string":"Steklov Mathematical Institute of RAS, Moscow, Russia","institution_ids":["https://openalex.org/I2801160905"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009045679","display_name":"Elaine Pimentel","orcid":"https://orcid.org/0000-0002-7113-0801"},"institutions":[{"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":"Elaine Pimentel","raw_affiliation_strings":["Department of Computer Science, University College London, London, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University College London, London, UK","institution_ids":["https://openalex.org/I45129253"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054465062","display_name":"Andre Scedrov","orcid":"https://orcid.org/0000-0002-4536-0419"},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andre Scedrov","raw_affiliation_strings":["Department of Mathematics, University of Pennsylvania, Philadelphia, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Pennsylvania, Philadelphia, USA","institution_ids":["https://openalex.org/I79576946"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5032097827"],"corresponding_institution_ids":["https://openalex.org/I79576946"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":1.0269,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.7865277,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"449","last_page":"467"},"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":0.9990000128746033,"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":0.9986000061035156,"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/associative-property","display_name":"Associative property","score":0.7015045881271362},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.6738287806510925},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6221717596054077},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43904802203178406},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3385814130306244},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31539344787597656},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19540733098983765}],"concepts":[{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.7015045881271362},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.6738287806510925},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6221717596054077},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43904802203178406},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3385814130306244},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31539344787597656},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19540733098983765}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-031-10769-6_27","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-10769-6_27","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-10769-6_27.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:eprints.ucl.ac.uk.OAI2:10154867","is_oa":false,"landing_page_url":"https://discovery.ucl.ac.uk/id/eprint/10154867/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400024","display_name":"UCL Discovery (University College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45129253","host_organization_name":"University College London","host_organization_lineage":["https://openalex.org/I45129253"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"     In: Blanchette, J and Kov\u00e1cs, L and Pattinson, D, (eds.) Automated Reasoning: 11th International Joint Conference, IJCAR 2022, Haifa, Israel, August 8\u201310, 2022, Proceedings.  (pp. pp. 449-467).  Springer: Cham, Switzerland. (2022)     ","raw_type":"Proceedings paper"}],"best_oa_location":{"id":"doi:10.1007/978-3-031-10769-6_27","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-10769-6_27","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-10769-6_27.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":[{"id":"https://openalex.org/G1641431731","display_name":null,"funder_award_id":"EP/R006865/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"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/W4289104061.pdf","grobid_xml":"https://content.openalex.org/works/W4289104061.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W81761572","https://openalex.org/W1484266479","https://openalex.org/W1495793844","https://openalex.org/W1568029361","https://openalex.org/W1587331436","https://openalex.org/W1978223872","https://openalex.org/W1988563443","https://openalex.org/W1992270652","https://openalex.org/W2002130184","https://openalex.org/W2020595717","https://openalex.org/W2021289373","https://openalex.org/W2031903051","https://openalex.org/W2046499339","https://openalex.org/W2061837253","https://openalex.org/W2063029497","https://openalex.org/W2111753732","https://openalex.org/W2117737141","https://openalex.org/W2164548001","https://openalex.org/W2262347362","https://openalex.org/W2274659313","https://openalex.org/W2318908254","https://openalex.org/W2324363623","https://openalex.org/W2325643235","https://openalex.org/W2328580899","https://openalex.org/W2397996385","https://openalex.org/W2627861920","https://openalex.org/W2741607924","https://openalex.org/W2756118055","https://openalex.org/W2810130918","https://openalex.org/W2898547131","https://openalex.org/W2910764484","https://openalex.org/W2911865844","https://openalex.org/W2962739933","https://openalex.org/W3093575955","https://openalex.org/W3100551312","https://openalex.org/W3105030000","https://openalex.org/W3139860392","https://openalex.org/W3146759290","https://openalex.org/W4248156396","https://openalex.org/W4255194959","https://openalex.org/W6600855574"],"related_works":["https://openalex.org/W1974287725","https://openalex.org/W4295253537","https://openalex.org/W1723526129","https://openalex.org/W1576049389","https://openalex.org/W2594491092","https://openalex.org/W2059672880","https://openalex.org/W2602508510","https://openalex.org/W2026323096","https://openalex.org/W2036976332","https://openalex.org/W2569195351"],"abstract_inverted_index":{"Abstract":[0],"Adding":[1],"multi-modalities":[2],"(called":[3],"subexponentials":[4,33],")":[5,76],"to":[6,48],"linear":[7],"logic":[8],"enhances":[9],"its":[10],"power":[11],"as":[12,52],"a":[13],"logical":[14],"framework,":[15],"which":[16],"has":[17],"been":[18],"extensively":[19],"used":[20],"in":[21],"the":[22,59,67,78],"specification":[23],"of":[24,89],"e.g.":[25],"proof":[26],"systems,":[27],"programming":[28],"languages":[29],"and":[30,81],"bigraphs.":[31],"Initially,":[32],"allowed":[34],"for":[35,50,87],"classical,":[36],"linear,":[37],"affine":[38],"or":[39],"relevant":[40],"behaviors.":[41],"Recently,":[42],"this":[43,55],"framework":[44],"was":[45],"enhanced":[46],"so":[47],"allow":[49],"commutativity":[51],"well.":[53],"In":[54],"work,":[56],"we":[57,82],"close":[58],"cycle":[60],"by":[61],"considering":[62],"associativity.":[63],"We":[64],"show":[65],"that":[66],"resulting":[68],"system":[69],"(":[70],"$$\\mathsf":[71,90],"{acLL}_\\varSigma":[72,91],"$$":[73,92],"<mml:math":[74,93],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:msub><mml:mi>acLL</mml:mi><mml:mi>\u03a3</mml:mi></mml:msub></mml:math>":[75,94],"admits":[77],"(multi)cut":[79],"rule,":[80],"prove":[83],"two":[84],"undecidability":[85],"results":[86],"fragments/variations":[88],".":[95]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}