{"id":"https://openalex.org/W2006434767","doi":"https://doi.org/10.1016/s0168-0072(01)00027-6","title":"Back-and-forth systems for generic curves and a decision algorithm for the limit theory","display_name":"Back-and-forth systems for generic curves and a decision algorithm for the limit theory","publication_year":2001,"publication_date":"2001-08-01","ids":{"openalex":"https://openalex.org/W2006434767","doi":"https://doi.org/10.1016/s0168-0072(01)00027-6","mag":"2006434767"},"language":"en","primary_location":{"id":"doi:10.1016/s0168-0072(01)00027-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0168-0072(01)00027-6","pdf_url":null,"source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied 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/A5105512963","display_name":"Pascal Koiran","orcid":"https://orcid.org/0000-0003-3405-7155"},"institutions":[{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I4210144566","display_name":"Laboratoire de l'Informatique du Parall\u00e9lisme","ror":"https://ror.org/04msnz457","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210144566"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Pascal Koiran","raw_affiliation_strings":["LIP, \u00c9cole Normale Sup\u00e9rieure de Lyon, 46 All\u00e9e d'Italie, F-69364 Lyon, Cedex 07, France","MC2 - Mod\u00e8les de calcul, Complexit\u00e9, Combinatoire (ENS Lyon 46 all\u00e9e d'Italie 69364 Lyon Cedex 07 - France)","LIP - Laboratoire de l'Informatique du Parall\u00e9lisme (46 All\u00e9e d'Italie 69364 LYON CEDEX 07 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIP, \u00c9cole Normale Sup\u00e9rieure de Lyon, 46 All\u00e9e d'Italie, F-69364 Lyon, Cedex 07, France","institution_ids":["https://openalex.org/I113428412"]},{"raw_affiliation_string":"MC2 - Mod\u00e8les de calcul, Complexit\u00e9, Combinatoire (ENS Lyon 46 all\u00e9e d'Italie 69364 Lyon Cedex 07 - France)","institution_ids":["https://openalex.org/I113428412"]},{"raw_affiliation_string":"LIP - Laboratoire de l'Informatique du Parall\u00e9lisme (46 All\u00e9e d'Italie 69364 LYON CEDEX 07 - France)","institution_ids":["https://openalex.org/I4210144566","https://openalex.org/I113428412"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010039739","display_name":"Natacha Portier","orcid":null},"institutions":[{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I4210144566","display_name":"Laboratoire de l'Informatique du Parall\u00e9lisme","ror":"https://ror.org/04msnz457","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210144566"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Natacha Portier","raw_affiliation_strings":["LIP, \u00c9cole Normale Sup\u00e9rieure de Lyon, 46 All\u00e9e d'Italie, F-69364 Lyon, Cedex 07, France","MC2 - Mod\u00e8les de calcul, Complexit\u00e9, Combinatoire (ENS Lyon 46 all\u00e9e d'Italie 69364 Lyon Cedex 07 - France)","LIP - Laboratoire de l'Informatique du Parall\u00e9lisme (46 All\u00e9e d'Italie 69364 LYON CEDEX 07 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIP, \u00c9cole Normale Sup\u00e9rieure de Lyon, 46 All\u00e9e d'Italie, F-69364 Lyon, Cedex 07, France","institution_ids":["https://openalex.org/I113428412"]},{"raw_affiliation_string":"MC2 - Mod\u00e8les de calcul, Complexit\u00e9, Combinatoire (ENS Lyon 46 all\u00e9e d'Italie 69364 Lyon Cedex 07 - France)","institution_ids":["https://openalex.org/I113428412"]},{"raw_affiliation_string":"LIP - Laboratoire de l'Informatique du Parall\u00e9lisme (46 All\u00e9e d'Italie 69364 LYON CEDEX 07 - France)","institution_ids":["https://openalex.org/I4210144566","https://openalex.org/I113428412"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5105512963"],"corresponding_institution_ids":["https://openalex.org/I113428412","https://openalex.org/I4210144566"],"apc_list":{"value":3390,"currency":"USD","value_usd":3390},"apc_paid":null,"fwci":1.8313,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.84275852,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"111","issue":"3","first_page":"257","last_page":"275"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9997000098228455,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9919999837875366,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9904999732971191,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8066408634185791},{"id":"https://openalex.org/keywords/infinity","display_name":"Infinity","score":0.7176101803779602},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.7129048705101013},{"id":"https://openalex.org/keywords/quantifier-elimination","display_name":"Quantifier elimination","score":0.6181755065917969},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5995659828186035},{"id":"https://openalex.org/keywords/quantifier","display_name":"Quantifier (linguistics)","score":0.5404902100563049},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.502272367477417},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.47108423709869385},{"id":"https://openalex.org/keywords/decision-theory","display_name":"Decision theory","score":0.46016356348991394},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45864561200141907},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4577535390853882},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4005977511405945},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.39555731415748596},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.31534093618392944},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.21583056449890137},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14582166075706482},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09659337997436523},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07625192403793335},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07196128368377686}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8066408634185791},{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.7176101803779602},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.7129048705101013},{"id":"https://openalex.org/C32278780","wikidata":"https://www.wikidata.org/wiki/Q1849020","display_name":"Quantifier elimination","level":2,"score":0.6181755065917969},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5995659828186035},{"id":"https://openalex.org/C2778523021","wikidata":"https://www.wikidata.org/wiki/Q5532504","display_name":"Quantifier (linguistics)","level":2,"score":0.5404902100563049},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.502272367477417},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.47108423709869385},{"id":"https://openalex.org/C28901747","wikidata":"https://www.wikidata.org/wiki/Q177571","display_name":"Decision theory","level":2,"score":0.46016356348991394},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45864561200141907},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4577535390853882},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4005977511405945},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.39555731415748596},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.31534093618392944},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.21583056449890137},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14582166075706482},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09659337997436523},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07625192403793335},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07196128368377686},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1016/s0168-0072(01)00027-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0168-0072(01)00027-6","pdf_url":null,"source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied Logic","raw_type":"journal-article"},{"id":"pmh:hdl:10068/58994","is_oa":false,"landing_page_url":"http://hdl.handle.net/10068/58994","pdf_url":null,"source":{"id":"https://openalex.org/S4377196900","display_name":"OpenGrey (Institut de l'Information Scientifique et Technique)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1295345811","host_organization_name":"Institut de l'Information Scientifique et Technique","host_organization_lineage":["https://openalex.org/I1295345811"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"R - Report"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.32.7054","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.32.7054","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ens-lyon.fr/~koiran/Publis/lip.00-29.ps.Z","raw_type":"text"},{"id":"pmh:oai:HAL:hal-04649397v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04649397","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":"Annals of Pure and Applied Logic, 2001, 111 (3), pp.257-275. ⟨10.1016/S0168-0072(01)00027-6⟩","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7200000286102295}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1991813962","https://openalex.org/W2001255903","https://openalex.org/W2035153735","https://openalex.org/W2078730239","https://openalex.org/W2080132708","https://openalex.org/W2151549243","https://openalex.org/W2162776641"],"related_works":["https://openalex.org/W4214737172","https://openalex.org/W3012938552","https://openalex.org/W2324712051","https://openalex.org/W2798639752","https://openalex.org/W1550311267","https://openalex.org/W4287825236","https://openalex.org/W1524103539","https://openalex.org/W1239946963","https://openalex.org/W1973527399","https://openalex.org/W71729059"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}