{"id":"https://openalex.org/W2128713292","doi":"https://doi.org/10.1145/2603088.2603126","title":"No proof nets for MLL with units","display_name":"No proof nets for MLL with units","publication_year":2014,"publication_date":"2014-07-14","ids":{"openalex":"https://openalex.org/W2128713292","doi":"https://doi.org/10.1145/2603088.2603126","mag":"2128713292"},"language":"en","primary_location":{"id":"doi:10.1145/2603088.2603126","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2603088.2603126","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Joint Meeting of the Twenty-Third EACSL Annual Conference on Computer Science Logic (CSL) and the Twenty-Ninth Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081519201","display_name":"Willem Heijltjes","orcid":"https://orcid.org/0009-0001-8941-1150"},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Willem Heijltjes","raw_affiliation_strings":["University of Bath"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bath","institution_ids":["https://openalex.org/I51601045"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018268658","display_name":"Robin Houston","orcid":"https://orcid.org/0000-0002-9200-488X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Robin Houston","raw_affiliation_strings":["Kiln Enterprises"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kiln Enterprises","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.863,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.8824719,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"10"},"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":0.9993000030517578,"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":0.9988999962806702,"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/linear-logic","display_name":"Linear logic","score":0.7585353851318359},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.7318060398101807},{"id":"https://openalex.org/keywords/nondeterministic-algorithm","display_name":"Nondeterministic algorithm","score":0.6682718396186829},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5996065139770508},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5528841614723206},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5483201742172241},{"id":"https://openalex.org/keywords/proof-theory","display_name":"Proof theory","score":0.5323693156242371},{"id":"https://openalex.org/keywords/structural-proof-theory","display_name":"Structural proof theory","score":0.48594558238983154},{"id":"https://openalex.org/keywords/direct-proof","display_name":"Direct proof","score":0.4758203327655792},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.4704384207725525},{"id":"https://openalex.org/keywords/np","display_name":"NP","score":0.4331081211566925},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4011683166027069},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23490315675735474},{"id":"https://openalex.org/keywords/turing-machine","display_name":"Turing machine","score":0.21080660820007324}],"concepts":[{"id":"https://openalex.org/C28077239","wikidata":"https://www.wikidata.org/wiki/Q841728","display_name":"Linear logic","level":2,"score":0.7585353851318359},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7318060398101807},{"id":"https://openalex.org/C176181172","wikidata":"https://www.wikidata.org/wiki/Q3490301","display_name":"Nondeterministic algorithm","level":2,"score":0.6682718396186829},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5996065139770508},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5528841614723206},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5483201742172241},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.5323693156242371},{"id":"https://openalex.org/C195653647","wikidata":"https://www.wikidata.org/wiki/Q7625047","display_name":"Structural proof theory","level":4,"score":0.48594558238983154},{"id":"https://openalex.org/C161505775","wikidata":"https://www.wikidata.org/wiki/Q3240280","display_name":"Direct proof","level":2,"score":0.4758203327655792},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.4704384207725525},{"id":"https://openalex.org/C91331118","wikidata":"https://www.wikidata.org/wiki/Q628036","display_name":"NP","level":4,"score":0.4331081211566925},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4011683166027069},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23490315675735474},{"id":"https://openalex.org/C29248071","wikidata":"https://www.wikidata.org/wiki/Q163310","display_name":"Turing machine","level":3,"score":0.21080660820007324},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.0},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/2603088.2603126","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2603088.2603126","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Joint Meeting of the Twenty-Third EACSL Annual Conference on Computer Science Logic (CSL) and the Twenty-Ninth Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)","raw_type":"proceedings-article"},{"id":"pmh:oai:purehost.bath.ac.uk:publications/4a7e54cf-5231-4f0d-8f3e-e8a327790a93","is_oa":false,"landing_page_url":"https://researchportal.bath.ac.uk/en/publications/4a7e54cf-5231-4f0d-8f3e-e8a327790a93","pdf_url":null,"source":{"id":"https://openalex.org/S4377196294","display_name":"Pure (University of Bath)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I51601045","host_organization_name":"University of Bath","host_organization_lineage":["https://openalex.org/I51601045"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W367533796","https://openalex.org/W1515019551","https://openalex.org/W1573600014","https://openalex.org/W1857767003","https://openalex.org/W1964454590","https://openalex.org/W1982129592","https://openalex.org/W1993205599","https://openalex.org/W1997048861","https://openalex.org/W2002241150","https://openalex.org/W2021005328","https://openalex.org/W2036722182","https://openalex.org/W2070813818","https://openalex.org/W2075367647","https://openalex.org/W2079171825","https://openalex.org/W2127390095","https://openalex.org/W2127478938","https://openalex.org/W2152113165","https://openalex.org/W2158075895","https://openalex.org/W2288986295","https://openalex.org/W2320642266","https://openalex.org/W2551720480","https://openalex.org/W2911865844","https://openalex.org/W4214952174","https://openalex.org/W4249977388"],"related_works":["https://openalex.org/W2722497084","https://openalex.org/W2915293568","https://openalex.org/W2007362771","https://openalex.org/W1916795416","https://openalex.org/W2134137673","https://openalex.org/W2922318846","https://openalex.org/W1490051504","https://openalex.org/W4234403895","https://openalex.org/W2163170048","https://openalex.org/W44606644"],"abstract_inverted_index":{"MLL":[0,56,79,109],"proof":[1,48,80,106],"equivalence":[2,81],"is":[3,24,76,82,97,112],"the":[4,28,38,59,62,95,99],"problem":[5,30,39,46],"of":[6,20,61,94,101,105],"deciding":[7],"whether":[8],"two":[9,63],"proofs":[10],"in":[11,72],"multiplicative":[12],"linear":[13],"logic":[14],"are":[15,51],"related":[16],"by":[17],"a":[18,44,85,102],"series":[19],"inference":[21],"permutations.":[22],"It":[23],"also":[25],"known":[26],"as":[27],"word":[29],"for":[31,54,108],"*-autonomous":[32],"categories.":[33],"Previous":[34],"work":[35,68],"has":[36],"shown":[37,77],"to":[40,43,58],"be":[41],"equivalent":[42],"rewiring":[45],"on":[47,69],"nets,":[49],"which":[50],"not":[52],"canonical":[53],"full":[55],"due":[57],"presence":[60],"units.":[64],"Drawing":[65],"from":[66,87],"recent":[67],"reconfiguration":[70],"problems,":[71],"this":[73],"paper":[74],"it":[75],"that":[78,98],"PSPACE-complete,":[83],"using":[84],"reduction":[86],"Nondeterministic":[88],"Constraint":[89],"Logic.":[90],"An":[91],"important":[92],"consequence":[93],"result":[96],"existence":[100],"satisfactory":[103],"notion":[104],"nets":[107],"with":[110],"units":[111],"ruled":[113],"out":[114],"(under":[115],"current":[116],"complexity":[117],"assumptions).":[118]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}