{"id":"https://openalex.org/W2152733053","doi":"https://doi.org/10.1109/lics.1999.782640","title":"Correctness of multiplicative proof nets is linear","display_name":"Correctness of multiplicative proof nets is linear","publication_year":2003,"publication_date":"2003-01-20","ids":{"openalex":"https://openalex.org/W2152733053","doi":"https://doi.org/10.1109/lics.1999.782640","mag":"2152733053"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/lics.1999.782640","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-article","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/A5026669806","display_name":"Stefano Guerrini","orcid":"https://orcid.org/0000-0002-1188-4548"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"funder","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"S. Guerrini","raw_affiliation_strings":["Dipartimento di Scienze dellInformazione, Universit\u00e0 di Roma La Sapienza, Rome, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze dellInformazione, Universit\u00e0 di Roma La Sapienza, Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5026669806"],"corresponding_institution_ids":["https://openalex.org/I861853513"],"apc_list":null,"apc_paid":null,"fwci":2.557,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":51,"citation_normalized_percentile":{"value":0.92722,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":92,"max":93},"biblio":{"volume":null,"issue":null,"first_page":"454","last_page":"463"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9999,"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":0.9999,"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":0.9985,"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":0.9975,"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/unification","display_name":"Unification","score":0.9094922},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.6440526},{"id":"https://openalex.org/keywords/disjoint-union","display_name":"Disjoint union (topology)","score":0.50448906}],"concepts":[{"id":"https://openalex.org/C96146094","wikidata":"https://www.wikidata.org/wiki/Q609057","display_name":"Unification","level":2,"score":0.9094922},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.6753894},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.6440526},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.64118606},{"id":"https://openalex.org/C7655956","wikidata":"https://www.wikidata.org/wiki/Q5282259","display_name":"Disjoint union (topology)","level":2,"score":0.50448906},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45136407},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.44234806},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41853306},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38859424},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.346277},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33368385},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.17561552},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/lics.1999.782640","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.47,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, justice, and strong institutions"}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":9,"referenced_works":["https://openalex.org/W1603473135","https://openalex.org/W1986022261","https://openalex.org/W2028503265","https://openalex.org/W2079171825","https://openalex.org/W2113722134","https://openalex.org/W2145350915","https://openalex.org/W2752885492","https://openalex.org/W2888871578","https://openalex.org/W2911865844"],"related_works":["https://openalex.org/W4313644288","https://openalex.org/W2991824606","https://openalex.org/W2911700234","https://openalex.org/W2522995044","https://openalex.org/W2392722258","https://openalex.org/W2123106609","https://openalex.org/W1995881795","https://openalex.org/W1592019736","https://openalex.org/W1555577483","https://openalex.org/W1485769279"],"abstract_inverted_index":{"We":[0],"reformulate":[1],"Danos":[2],"contractibility":[3],"criterion":[4,22,43],"in":[5],"terms":[6],"of":[7,10,19,40,48],"a":[8,16,25,45,51],"sort":[9],"unification.":[11],"As":[12],"for":[13],"term":[14],"unification,":[15],"direct":[17],"implementation":[18],"the":[20,34,38,41],"unification":[21,42],"leads":[23],"to":[24],"quasi-linear":[26],"algorithm.":[27],"Linearity":[28],"is":[29,44],"obtained":[30],"after":[31],"observing":[32],"that":[33],"disjoint-set":[35],"union-find":[36,49],"at":[37],"core":[39],"special":[46],"case":[47],"with":[50],"real":[52],"linear":[53],"time":[54],"solution.":[55]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2152733053","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":5},{"year":2012,"cited_by_count":5}],"updated_date":"2025-04-21T11:42:35.359034","created_date":"2016-06-24"}