{"id":"https://openalex.org/W1852594029","doi":"https://doi.org/10.1007/978-3-540-74915-8_31","title":"From Proofs to Focused Proofs: A Modular Proof of Focalization in Linear Logic","display_name":"From Proofs to Focused Proofs: A Modular Proof of Focalization in Linear Logic","publication_year":2007,"publication_date":"2007-08-24","ids":{"openalex":"https://openalex.org/W1852594029","doi":"https://doi.org/10.1007/978-3-540-74915-8_31","mag":"1852594029"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-74915-8_31","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-74915-8_31","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/A5018394339","display_name":"Dale Miller","orcid":"https://orcid.org/0000-0003-0274-4954"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Dale Miller","raw_affiliation_strings":["INRIA & LIX/\u00c9cole Polytechnique, Palaiseau, France","LIX - Laboratoire d'informatique de l'\u00c9cole polytechnique [Palaiseau] (1 Rue Honor\u00e9 d\u2019Estienne d\u2019Orves, B\u00e2timent Alain Turing, 91120 Palaiseau - France)","PARSIFAL - Proof search and reasoning with logic specifications (France)"],"affiliations":[{"raw_affiliation_string":"INRIA & LIX/\u00c9cole Polytechnique, Palaiseau, France","institution_ids":["https://openalex.org/I4210139461","https://openalex.org/I1326498283"]},{"raw_affiliation_string":"LIX - Laboratoire d'informatique de l'\u00c9cole polytechnique [Palaiseau] (1 Rue Honor\u00e9 d\u2019Estienne d\u2019Orves, B\u00e2timent Alain Turing, 91120 Palaiseau - France)","institution_ids":["https://openalex.org/I4210139461","https://openalex.org/I142476485"]},{"raw_affiliation_string":"PARSIFAL - Proof search and reasoning with logic specifications (France)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112853151","display_name":"Alexis Saurin","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/I4210139011","display_name":"Laboratory Preuves, Programmes et Syst\u00e8mes","ror":"https://ror.org/046p9e825","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I4210139011","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Alexis Saurin","raw_affiliation_strings":["INRIA & LIX/\u00c9cole Polytechnique, Palaiseau, France","LIX - Laboratoire d'informatique de l'\u00c9cole polytechnique [Palaiseau] (1 Rue Honor\u00e9 d\u2019Estienne d\u2019Orves, B\u00e2timent Alain Turing, 91120 Palaiseau - France)","PPS - Preuves, Programmes et Syst\u00e8mes (Universit\u00e9 Paris Diderot, B\u00e2t. Sophie Germain, case postale 7014, 75205 Paris Cedex 13 - France)","PARSIFAL - Proof search and reasoning with logic specifications (France)"],"affiliations":[{"raw_affiliation_string":"INRIA & LIX/\u00c9cole Polytechnique, Palaiseau, France","institution_ids":["https://openalex.org/I4210139461","https://openalex.org/I1326498283"]},{"raw_affiliation_string":"LIX - Laboratoire d'informatique de l'\u00c9cole polytechnique [Palaiseau] (1 Rue Honor\u00e9 d\u2019Estienne d\u2019Orves, B\u00e2timent Alain Turing, 91120 Palaiseau - France)","institution_ids":["https://openalex.org/I4210139461","https://openalex.org/I142476485"]},{"raw_affiliation_string":"PPS - Preuves, Programmes et Syst\u00e8mes (Universit\u00e9 Paris Diderot, B\u00e2t. Sophie Germain, case postale 7014, 75205 Paris Cedex 13 - France)","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I4210139011"]},{"raw_affiliation_string":"PARSIFAL - Proof search and reasoning with logic specifications (France)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5018394339"],"corresponding_institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.9693,"has_fulltext":false,"cited_by_count":50,"citation_normalized_percentile":{"value":0.92567195,"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":"405","last_page":"419"},"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":0.9994000196456909,"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":0.9975000023841858,"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/structural-proof-theory","display_name":"Structural proof theory","score":0.8536614179611206},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.7918068170547485},{"id":"https://openalex.org/keywords/proof-complexity","display_name":"Proof complexity","score":0.7710155248641968},{"id":"https://openalex.org/keywords/proof-theory","display_name":"Proof theory","score":0.6728795766830444},{"id":"https://openalex.org/keywords/proof-calculus","display_name":"Proof calculus","score":0.6323839426040649},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6176159977912903},{"id":"https://openalex.org/keywords/linear-logic","display_name":"Linear logic","score":0.5523621439933777},{"id":"https://openalex.org/keywords/natural-deduction","display_name":"Natural deduction","score":0.5363935232162476},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.5069959163665771},{"id":"https://openalex.org/keywords/sequent-calculus","display_name":"Sequent calculus","score":0.4522444009780884},{"id":"https://openalex.org/keywords/computer-assisted-proof","display_name":"Computer-assisted proof","score":0.44436249136924744},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.42737314105033875},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.426975280046463},{"id":"https://openalex.org/keywords/direct-proof","display_name":"Direct proof","score":0.41227272152900696},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3790281414985657},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3300594687461853},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.24416300654411316}],"concepts":[{"id":"https://openalex.org/C195653647","wikidata":"https://www.wikidata.org/wiki/Q7625047","display_name":"Structural proof theory","level":4,"score":0.8536614179611206},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7918068170547485},{"id":"https://openalex.org/C105605280","wikidata":"https://www.wikidata.org/wiki/Q7249999","display_name":"Proof complexity","level":3,"score":0.7710155248641968},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.6728795766830444},{"id":"https://openalex.org/C6489637","wikidata":"https://www.wikidata.org/wiki/Q7250002","display_name":"Proof calculus","level":3,"score":0.6323839426040649},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6176159977912903},{"id":"https://openalex.org/C28077239","wikidata":"https://www.wikidata.org/wiki/Q841728","display_name":"Linear logic","level":2,"score":0.5523621439933777},{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.5363935232162476},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.5069959163665771},{"id":"https://openalex.org/C65880906","wikidata":"https://www.wikidata.org/wiki/Q1771121","display_name":"Sequent calculus","level":3,"score":0.4522444009780884},{"id":"https://openalex.org/C173613240","wikidata":"https://www.wikidata.org/wiki/Q1150675","display_name":"Computer-assisted proof","level":3,"score":0.44436249136924744},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.42737314105033875},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.426975280046463},{"id":"https://openalex.org/C161505775","wikidata":"https://www.wikidata.org/wiki/Q3240280","display_name":"Direct proof","level":2,"score":0.41227272152900696},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3790281414985657},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3300594687461853},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.24416300654411316},{"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},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-540-74915-8_31","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-74915-8_31","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:10.1.1.640.2374","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.640.2374","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lix.polytechnique.fr/Labo/Dale.Miller/papers/csl07-remove-me/submission_100.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.95.4424","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.95.4424","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lix.polytechnique.fr/Labo/Dale.Miller/papers/csl07saurin.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00527888v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00527888","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"16th EACSL Annual Conference on Computer Science and Logic - CSL 2007, Sep 2007, Lausanne, Switzerland. pp.405-419, ⟨10.1007/978-3-540-74915-8_31⟩","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W90632516","https://openalex.org/W137682531","https://openalex.org/W389428040","https://openalex.org/W657829122","https://openalex.org/W1471398886","https://openalex.org/W1495793844","https://openalex.org/W1559383704","https://openalex.org/W1567910832","https://openalex.org/W1571434350","https://openalex.org/W1643700551","https://openalex.org/W1889888010","https://openalex.org/W1969548989","https://openalex.org/W2016326123","https://openalex.org/W2040807747","https://openalex.org/W2057183321","https://openalex.org/W2070324762","https://openalex.org/W2088881461","https://openalex.org/W2095436832","https://openalex.org/W2107067818","https://openalex.org/W2145617779","https://openalex.org/W2156950788","https://openalex.org/W2164691248","https://openalex.org/W2484051058","https://openalex.org/W2911865844"],"related_works":["https://openalex.org/W2922318846","https://openalex.org/W3163122332","https://openalex.org/W171706349","https://openalex.org/W1852594029","https://openalex.org/W2119682046","https://openalex.org/W3173957725","https://openalex.org/W131041899","https://openalex.org/W2599938050","https://openalex.org/W4297816441","https://openalex.org/W644998418"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}