{"id":"https://openalex.org/W2036503832","doi":"https://doi.org/10.1007/s001530050118","title":"Lifting independence results in bounded arithmetic","display_name":"Lifting independence results in bounded arithmetic","publication_year":1999,"publication_date":"1999-02-01","ids":{"openalex":"https://openalex.org/W2036503832","doi":"https://doi.org/10.1007/s001530050118","mag":"2036503832"},"language":"en","primary_location":{"id":"doi:10.1007/s001530050118","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001530050118","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/A5091149786","display_name":"Mario Chiari","orcid":null},"institutions":[{"id":"https://openalex.org/I202391551","display_name":"Czech Academy of Sciences","ror":"https://ror.org/053avzc18","country_code":"CZ","type":"government","lineage":["https://openalex.org/I202391551"]},{"id":"https://openalex.org/I4210120266","display_name":"Czech Academy of Sciences, Institute of Mathematics","ror":"https://ror.org/02tv1yf50","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Mario Chiari","raw_affiliation_strings":["Mathematical Institute, Academy of Sciences, Prague, \u017ditn\u00e1 25, 115 67 Praha 1, Czech Republic\n, , , , , , CZ","Mathematical Institute, Academy of Sciences, Prague, \u017ditn\u00e1 25, 115 67 Praha 1, Czech Republic#N#, , CZ"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, Academy of Sciences, Prague, \u017ditn\u00e1 25, 115 67 Praha 1, Czech Republic\n, , , , , , CZ","institution_ids":["https://openalex.org/I4210120266"]},{"raw_affiliation_string":"Mathematical Institute, Academy of Sciences, Prague, \u017ditn\u00e1 25, 115 67 Praha 1, Czech Republic#N#, , CZ","institution_ids":["https://openalex.org/I202391551"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069803587","display_name":"Jan Kraj\u0131\u0301\u010dek","orcid":"https://orcid.org/0000-0003-0670-3957"},"institutions":[{"id":"https://openalex.org/I202391551","display_name":"Czech Academy of Sciences","ror":"https://ror.org/053avzc18","country_code":"CZ","type":"government","lineage":["https://openalex.org/I202391551"]},{"id":"https://openalex.org/I4210120266","display_name":"Czech Academy of Sciences, Institute of Mathematics","ror":"https://ror.org/02tv1yf50","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Jan Kraj\u00ed\u010dek","raw_affiliation_strings":["Mathematical Institute, Academy of Sciences, Prague, \u017ditn\u00e1 25, 115 67 Praha 1, Czech Republic\n, , , , , , CZ","Mathematical Institute, Academy of Sciences, Prague, \u017ditn\u00e1 25, 115 67 Praha 1, Czech Republic#N#, , CZ"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, Academy of Sciences, Prague, \u017ditn\u00e1 25, 115 67 Praha 1, Czech Republic\n, , , , , , CZ","institution_ids":["https://openalex.org/I4210120266"]},{"raw_affiliation_string":"Mathematical Institute, Academy of Sciences, Prague, \u017ditn\u00e1 25, 115 67 Praha 1, Czech Republic#N#, , CZ","institution_ids":["https://openalex.org/I202391551"]}]}],"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":0.98,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.75535608,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"38","issue":"2","first_page":"123","last_page":"138"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","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/T10720","display_name":"Complexity and Algorithms in Graphs","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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8170791268348694},{"id":"https://openalex.org/keywords/sigma","display_name":"Sigma","score":0.683752179145813},{"id":"https://openalex.org/keywords/alpha","display_name":"Alpha (finance)","score":0.6123701333999634},{"id":"https://openalex.org/keywords/lift","display_name":"Lift (data mining)","score":0.5394436120986938},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4381420612335205},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43163612484931946},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4042596220970154},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14935848116874695},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09981566667556763},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08584064245223999},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06814000010490417}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8170791268348694},{"id":"https://openalex.org/C2778049214","wikidata":"https://www.wikidata.org/wiki/Q7512234","display_name":"Sigma","level":2,"score":0.683752179145813},{"id":"https://openalex.org/C64943373","wikidata":"https://www.wikidata.org/wiki/Q2651003","display_name":"Alpha (finance)","level":4,"score":0.6123701333999634},{"id":"https://openalex.org/C139002025","wikidata":"https://www.wikidata.org/wiki/Q3001212","display_name":"Lift (data mining)","level":2,"score":0.5394436120986938},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4381420612335205},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43163612484931946},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4042596220970154},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14935848116874695},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09981566667556763},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08584064245223999},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06814000010490417},{"id":"https://openalex.org/C49453240","wikidata":"https://www.wikidata.org/wiki/Q1592163","display_name":"Construct validity","level":3,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C171606756","wikidata":"https://www.wikidata.org/wiki/Q506132","display_name":"Psychometrics","level":2,"score":0.0},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s001530050118","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001530050118","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:10.1.1.48.2350","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.48.2350","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.cas.cz/~krajicek/lifting.ps.gz","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":10,"referenced_works":["https://openalex.org/W1511859173","https://openalex.org/W1607926272","https://openalex.org/W1983604941","https://openalex.org/W2038225707","https://openalex.org/W2045472305","https://openalex.org/W2056827464","https://openalex.org/W2071204190","https://openalex.org/W2133313069","https://openalex.org/W2175296692","https://openalex.org/W2905110430"],"related_works":["https://openalex.org/W3013085049","https://openalex.org/W1560496689","https://openalex.org/W4386900933","https://openalex.org/W4385301946","https://openalex.org/W4297797135","https://openalex.org/W3125672081","https://openalex.org/W1673581201","https://openalex.org/W2991991550","https://openalex.org/W4289799755","https://openalex.org/W2904666330"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":28},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
