{"id":"https://openalex.org/W1495793844","doi":"https://doi.org/10.1007/bfb0022564","title":"The structure of exponentials: Uncovering the dynamics of linear logic proofs","display_name":"The structure of exponentials: Uncovering the dynamics of linear logic proofs","publication_year":2005,"publication_date":"2005-11-13","ids":{"openalex":"https://openalex.org/W1495793844","doi":"https://doi.org/10.1007/bfb0022564","mag":"1495793844"},"language":"en","primary_location":{"id":"doi:10.1007/bfb0022564","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0022564","pdf_url":null,"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":null,"license_id":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111482850","display_name":"Vincent Danos","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832"]},{"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/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]}],"countries":["FR","NL"],"is_corresponding":true,"raw_author_name":"Vincent Danos","raw_affiliation_strings":["CNRS URA 753, Francais","Faculteit Wiskunde en Informatica, Universiteit van Amsterdam, Pay-Bas","\u00c9quipe de Logique Math\u00e9matique, Universit\u00e9 Paris VII, Francais"],"affiliations":[{"raw_affiliation_string":"CNRS URA 753, Francais","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Faculteit Wiskunde en Informatica, Universiteit van Amsterdam, Pay-Bas","institution_ids":["https://openalex.org/I1341640284","https://openalex.org/I887064364"]},{"raw_affiliation_string":"\u00c9quipe de Logique Math\u00e9matique, Universit\u00e9 Paris VII, Francais","institution_ids":["https://openalex.org/I204730241"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053979521","display_name":"Jean-Baptiste Joinet","orcid":"https://orcid.org/0000-0003-1075-1580"},"institutions":[{"id":"https://openalex.org/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]},{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832"]},{"id":"https://openalex.org/I51101395","display_name":"Universit\u00e9 Paris 1 Panth\u00e9on-Sorbonne","ror":"https://ror.org/002t25c44","country_code":"FR","type":"education","lineage":["https://openalex.org/I51101395"]},{"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"]}],"countries":["FR","NL"],"is_corresponding":false,"raw_author_name":"Jean -Baptiste Joinet","raw_affiliation_strings":["Faculteit Wiskunde en Informatica, Universiteit van Amsterdam, Pay-Bas","Universit\u00e9 Paris I, Francais","\u00c9quipe de Logique Math\u00e9matique, Universit\u00e9 Paris VII, Francais"],"affiliations":[{"raw_affiliation_string":"Faculteit Wiskunde en Informatica, Universiteit van Amsterdam, Pay-Bas","institution_ids":["https://openalex.org/I1341640284","https://openalex.org/I887064364"]},{"raw_affiliation_string":"Universit\u00e9 Paris I, Francais","institution_ids":["https://openalex.org/I51101395"]},{"raw_affiliation_string":"\u00c9quipe de Logique Math\u00e9matique, Universit\u00e9 Paris VII, Francais","institution_ids":["https://openalex.org/I204730241"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029832941","display_name":"Harold Schellinx","orcid":"https://orcid.org/0000-0003-4136-0347"},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832"]},{"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/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]}],"countries":["FR","NL"],"is_corresponding":false,"raw_author_name":"Harold Schellinx","raw_affiliation_strings":["Faculteit Wiskunde en Informatica, Universiteit van Amsterdam, Pay-Bas","\u00c9quipe de Logique Math\u00e9matique, Universit\u00e9 Paris VII, Francais"],"affiliations":[{"raw_affiliation_string":"Faculteit Wiskunde en Informatica, Universiteit van Amsterdam, Pay-Bas","institution_ids":["https://openalex.org/I1341640284","https://openalex.org/I887064364"]},{"raw_affiliation_string":"\u00c9quipe de Logique Math\u00e9matique, Universit\u00e9 Paris VII, Francais","institution_ids":["https://openalex.org/I204730241"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5111482850"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I1341640284","https://openalex.org/I204730241","https://openalex.org/I887064364"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.482,"has_fulltext":false,"cited_by_count":110,"citation_normalized_percentile":{"value":0.93483456,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"159","last_page":"171"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9991999864578247,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.998199999332428,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.806617259979248},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5982518792152405},{"id":"https://openalex.org/keywords/sketch","display_name":"Sketch","score":0.582942545413971},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.511541485786438},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5012025833129883},{"id":"https://openalex.org/keywords/linear-logic","display_name":"Linear logic","score":0.4946241080760956},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.49419668316841125},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.39017218351364136},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38686954975128174},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38336801528930664},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2959422171115875},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.277235209941864}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.806617259979248},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5982518792152405},{"id":"https://openalex.org/C2779231336","wikidata":"https://www.wikidata.org/wiki/Q7534724","display_name":"Sketch","level":2,"score":0.582942545413971},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.511541485786438},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5012025833129883},{"id":"https://openalex.org/C28077239","wikidata":"https://www.wikidata.org/wiki/Q841728","display_name":"Linear logic","level":2,"score":0.4946241080760956},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.49419668316841125},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39017218351364136},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38686954975128174},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38336801528930664},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2959422171115875},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.277235209941864},{"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/bfb0022564","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0022564","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.46.8539","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.46.8539","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.logique.jussieu.fr/www.hars/Papers/DJS/super.ps.Z","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4300000071525574,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1528126769","https://openalex.org/W1572370762","https://openalex.org/W1971256104","https://openalex.org/W1985185257","https://openalex.org/W2008920425","https://openalex.org/W2095436832","https://openalex.org/W2144747140","https://openalex.org/W2911865844"],"related_works":["https://openalex.org/W2378994405","https://openalex.org/W2385974820","https://openalex.org/W2373478030","https://openalex.org/W2378679551","https://openalex.org/W3149739944","https://openalex.org/W2392363776","https://openalex.org/W2063051341","https://openalex.org/W2591066345","https://openalex.org/W1494563618","https://openalex.org/W2357022711"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":8}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
