{"id":"https://openalex.org/W2073924651","doi":"https://doi.org/10.1007/s001530050101","title":"Planar and braided proof-nets for multiplicative linear logic with mix","display_name":"Planar and braided proof-nets for multiplicative linear logic with mix","publication_year":1998,"publication_date":"1998-07-01","ids":{"openalex":"https://openalex.org/W2073924651","doi":"https://doi.org/10.1007/s001530050101","mag":"2073924651"},"language":"en","primary_location":{"id":"doi:10.1007/s001530050101","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001530050101","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"},"type":"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/A5018581775","display_name":"Gianluigi Bellin","orcid":null},"institutions":[{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I3017942884","display_name":"Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche","ror":"https://ror.org/03fk87k11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I3017942884","https://openalex.org/I39804081","https://openalex.org/I4210141950"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"G. Bellin","raw_affiliation_strings":["Equipe de Logique Math\u00e9matique, Universit\u00e9 Paris VII, 2 Place Jussieu, F-75251 Paris Cedex 05, France e-mail: {bellin; fleury}@logique.jussieu.fr\n, , , , , , FR","fleury}@logique.jussieu.fr\n, , , , , , FR","Equipe de Logique Math\u00e9matique, Universit\u00e9 Paris VII, 2 Place Jussieu, F-75251 Paris Cedex 05, France e-mail: {bellin"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Equipe de Logique Math\u00e9matique, Universit\u00e9 Paris VII, 2 Place Jussieu, F-75251 Paris Cedex 05, France e-mail: {bellin; fleury}@logique.jussieu.fr\n, , , , , , FR","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I3017942884"]},{"raw_affiliation_string":"fleury}@logique.jussieu.fr\n, , , , , , FR","institution_ids":[]},{"raw_affiliation_string":"Equipe de Logique Math\u00e9matique, Universit\u00e9 Paris VII, 2 Place Jussieu, F-75251 Paris Cedex 05, France e-mail: {bellin","institution_ids":["https://openalex.org/I204730241"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109081095","display_name":"Anne Fleury","orcid":null},"institutions":[{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I3017942884","display_name":"Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche","ror":"https://ror.org/03fk87k11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I3017942884","https://openalex.org/I39804081","https://openalex.org/I4210141950"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"A. Fleury","raw_affiliation_strings":["Equipe de Logique Math\u00e9matique, Universit\u00e9 Paris VII, 2 Place Jussieu, F-75251 Paris Cedex 05, France e-mail: {bellin; fleury}@logique.jussieu.fr\n, , , , , , FR","Equipe de Logique Math\u00e9matique, Universit\u00e9 Paris VII, 2 Place Jussieu, F-75251 Paris Cedex 05, France e-mail: {bellin","fleury}@logique.jussieu.fr\n, , , , , , FR"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Equipe de Logique Math\u00e9matique, Universit\u00e9 Paris VII, 2 Place Jussieu, F-75251 Paris Cedex 05, France e-mail: {bellin; fleury}@logique.jussieu.fr\n, , , , , , FR","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I3017942884"]},{"raw_affiliation_string":"Equipe de Logique Math\u00e9matique, Universit\u00e9 Paris VII, 2 Place Jussieu, F-75251 Paris Cedex 05, France e-mail: {bellin","institution_ids":["https://openalex.org/I204730241"]},{"raw_affiliation_string":"fleury}@logique.jussieu.fr\n, , , , , , FR","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.5502,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.76272166,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"37","issue":"5-6","first_page":"309","last_page":"325"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9984999895095825,"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"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.998199999332428,"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/mathematics","display_name":"Mathematics","score":0.7494535446166992},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.6414563655853271},{"id":"https://openalex.org/keywords/corollary","display_name":"Corollary","score":0.5863035917282104},{"id":"https://openalex.org/keywords/linear-logic","display_name":"Linear logic","score":0.5740333795547485},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5221196413040161},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.5204691886901855},{"id":"https://openalex.org/keywords/direct-proof","display_name":"Direct proof","score":0.47773879766464233},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.4752071797847748},{"id":"https://openalex.org/keywords/structural-proof-theory","display_name":"Structural proof theory","score":0.46381375193595886},{"id":"https://openalex.org/keywords/proof-theory","display_name":"Proof theory","score":0.45943138003349304},{"id":"https://openalex.org/keywords/noncommutative-geometry","display_name":"Noncommutative geometry","score":0.44814348220825195},{"id":"https://openalex.org/keywords/proof-complexity","display_name":"Proof complexity","score":0.43571019172668457},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.28035831451416016},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.2682291269302368},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1774248480796814}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7494535446166992},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.6414563655853271},{"id":"https://openalex.org/C2780012671","wikidata":"https://www.wikidata.org/wiki/Q1343870","display_name":"Corollary","level":2,"score":0.5863035917282104},{"id":"https://openalex.org/C28077239","wikidata":"https://www.wikidata.org/wiki/Q841728","display_name":"Linear logic","level":2,"score":0.5740333795547485},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5221196413040161},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.5204691886901855},{"id":"https://openalex.org/C161505775","wikidata":"https://www.wikidata.org/wiki/Q3240280","display_name":"Direct proof","level":2,"score":0.47773879766464233},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.4752071797847748},{"id":"https://openalex.org/C195653647","wikidata":"https://www.wikidata.org/wiki/Q7625047","display_name":"Structural proof theory","level":4,"score":0.46381375193595886},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.45943138003349304},{"id":"https://openalex.org/C68797384","wikidata":"https://www.wikidata.org/wiki/Q2746792","display_name":"Noncommutative geometry","level":2,"score":0.44814348220825195},{"id":"https://openalex.org/C105605280","wikidata":"https://www.wikidata.org/wiki/Q7249999","display_name":"Proof complexity","level":3,"score":0.43571019172668457},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.28035831451416016},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.2682291269302368},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1774248480796814},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","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},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s001530050101","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001530050101","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.33.503","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.33.503","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://profs.sci.univr.it/~bellin/ncmix.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W2078432227","https://openalex.org/W2098064994","https://openalex.org/W2911865844"],"related_works":["https://openalex.org/W2922318846","https://openalex.org/W2722497084","https://openalex.org/W2007362771","https://openalex.org/W171706349","https://openalex.org/W2626436722","https://openalex.org/W1916795416","https://openalex.org/W1490051504","https://openalex.org/W153148314","https://openalex.org/W2020595717","https://openalex.org/W1852594029"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
