{"id":"https://openalex.org/W1543241473","doi":"https://doi.org/10.1007/978-3-540-73449-9_9","title":"A Simple Proof That Super-Consistency Implies Cut Elimination","display_name":"A Simple Proof That Super-Consistency Implies Cut Elimination","publication_year":2007,"publication_date":"2007-08-13","ids":{"openalex":"https://openalex.org/W1543241473","doi":"https://doi.org/10.1007/978-3-540-73449-9_9","mag":"1543241473"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-73449-9_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-73449-9_9","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":true,"oa_status":"green","oa_url":"https://hal.science/hal-00150697","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073164575","display_name":"Gilles Dowek","orcid":"https://orcid.org/0000-0001-6253-935X"},"institutions":[{"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/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/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":"Gilles Dowek","raw_affiliation_strings":["\u00c9cole polytechnique and INRIA, LIX, \u00c9cole polytechnique, 91128 Palaiseau Cedex, France","\u00c9cole Polytechnique and INRIA, LIX, \u00c9cole Polytechnique, Palaiseau Cedex, France#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u00c9cole polytechnique and INRIA, LIX, \u00c9cole polytechnique, 91128 Palaiseau Cedex, France","institution_ids":["https://openalex.org/I4210139461","https://openalex.org/I1326498283","https://openalex.org/I142476485"]},{"raw_affiliation_string":"\u00c9cole Polytechnique and INRIA, LIX, \u00c9cole Polytechnique, Palaiseau Cedex, France#TAB#","institution_ids":["https://openalex.org/I142476485"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020794048","display_name":"Olivier Hermant","orcid":"https://orcid.org/0000-0001-6233-1903"},"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/I169173203","display_name":"D\u00e9l\u00e9gation Paris 7","ror":"https://ror.org/00bw5n526","country_code":"FR","type":"government","lineage":["https://openalex.org/I154526488","https://openalex.org/I169173203"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Olivier Hermant","raw_affiliation_strings":["PPS, Universit\u00e9 Denis Diderot, 2 place Jussieu, 75251 Paris Cedex 05, France","PPS, Universit\u00e9 Denis Diderot, Paris Cedex 05, France#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"PPS, Universit\u00e9 Denis Diderot, 2 place Jussieu, 75251 Paris Cedex 05, France","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I169173203"]},{"raw_affiliation_string":"PPS, Universit\u00e9 Denis Diderot, Paris Cedex 05, France#TAB#","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I169173203"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5073164575"],"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":0.6861,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.70787048,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"93","last_page":"106"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9950000047683716,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9710000157356262,"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/mathematical-proof","display_name":"Mathematical proof","score":0.8750090599060059},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6501412987709045},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.6302505731582642},{"id":"https://openalex.org/keywords/normalization","display_name":"Normalization (sociology)","score":0.6291404366493225},{"id":"https://openalex.org/keywords/structural-proof-theory","display_name":"Structural proof theory","score":0.5957470536231995},{"id":"https://openalex.org/keywords/direct-proof","display_name":"Direct proof","score":0.5797510743141174},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.5657146573066711},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.5375022888183594},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.5231664776802063},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5133659243583679},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.46353983879089355},{"id":"https://openalex.org/keywords/proof-theory","display_name":"Proof theory","score":0.45048874616622925},{"id":"https://openalex.org/keywords/cut-elimination-theorem","display_name":"Cut-elimination theorem","score":0.4408456087112427},{"id":"https://openalex.org/keywords/analytic-proof","display_name":"Analytic proof","score":0.4303049147129059},{"id":"https://openalex.org/keywords/proof-complexity","display_name":"Proof complexity","score":0.41092246770858765},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32407283782958984},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3205842673778534},{"id":"https://openalex.org/keywords/sequent-calculus","display_name":"Sequent calculus","score":0.23423591256141663},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.06724146008491516},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.06431499123573303}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.8750090599060059},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6501412987709045},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.6302505731582642},{"id":"https://openalex.org/C136886441","wikidata":"https://www.wikidata.org/wiki/Q926129","display_name":"Normalization (sociology)","level":2,"score":0.6291404366493225},{"id":"https://openalex.org/C195653647","wikidata":"https://www.wikidata.org/wiki/Q7625047","display_name":"Structural proof theory","level":4,"score":0.5957470536231995},{"id":"https://openalex.org/C161505775","wikidata":"https://www.wikidata.org/wiki/Q3240280","display_name":"Direct proof","level":2,"score":0.5797510743141174},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.5657146573066711},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.5375022888183594},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.5231664776802063},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5133659243583679},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.46353983879089355},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.45048874616622925},{"id":"https://openalex.org/C111404639","wikidata":"https://www.wikidata.org/wiki/Q376166","display_name":"Cut-elimination theorem","level":4,"score":0.4408456087112427},{"id":"https://openalex.org/C135754263","wikidata":"https://www.wikidata.org/wiki/Q4751136","display_name":"Analytic proof","level":3,"score":0.4303049147129059},{"id":"https://openalex.org/C105605280","wikidata":"https://www.wikidata.org/wiki/Q7249999","display_name":"Proof complexity","level":3,"score":0.41092246770858765},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32407283782958984},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3205842673778534},{"id":"https://openalex.org/C65880906","wikidata":"https://www.wikidata.org/wiki/Q1771121","display_name":"Sequent calculus","level":3,"score":0.23423591256141663},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.06724146008491516},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.06431499123573303},{"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/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","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},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/978-3-540-73449-9_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-73449-9_9","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:10.1.1.294.9798","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.294.9798","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cri.ensmp.fr/classement/doc/A-516.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.393.1393","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.393.1393","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hal.inria.fr/docs/00/74/32/56/PDF/cuts.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00150697v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00150697","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2007","raw_type":"Preprints, Working Papers, ..."},{"id":"pmh:oai:HAL:hal-00743256v1","is_oa":true,"landing_page_url":"https://minesparis-psl.hal.science/hal-00743256","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"18th International Conference, RTA 2007, Jun 2007, Paris, France. pp.Pages 93-106, ⟨10.1007/978-3-540-73449-9_9⟩","raw_type":"Conference papers"},{"id":"pmh:oai:HAL:hal-04075086v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-04075086","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2012","raw_type":"Preprints, Working Papers, ..."}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00150697v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00150697","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2007","raw_type":"Preprints, Working Papers, ..."},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1493555008","https://openalex.org/W1499154644","https://openalex.org/W1505627668","https://openalex.org/W1573969001","https://openalex.org/W1575662350","https://openalex.org/W1969802940","https://openalex.org/W1977882652","https://openalex.org/W1985234321","https://openalex.org/W1989942966","https://openalex.org/W1996404651","https://openalex.org/W2009247993","https://openalex.org/W2023145007","https://openalex.org/W2024442214","https://openalex.org/W2038831710","https://openalex.org/W2089702017","https://openalex.org/W2115610240","https://openalex.org/W2211325406","https://openalex.org/W4237061074"],"related_works":["https://openalex.org/W2922318846","https://openalex.org/W171706349","https://openalex.org/W4234403895","https://openalex.org/W2461509449","https://openalex.org/W187835144","https://openalex.org/W2626436722","https://openalex.org/W2722497084","https://openalex.org/W153148314","https://openalex.org/W2981852497","https://openalex.org/W3173957725"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}