{"id":"https://openalex.org/W3093851029","doi":"https://doi.org/10.3233/com-210374","title":"Inequalities for space-bounded Kolmogorov complexity","display_name":"Inequalities for space-bounded Kolmogorov complexity","publication_year":2022,"publication_date":"2022-09-09","ids":{"openalex":"https://openalex.org/W3093851029","doi":"https://doi.org/10.3233/com-210374","mag":"3093851029"},"language":"en","primary_location":{"id":"doi:10.3233/com-210374","is_oa":false,"landing_page_url":"https://doi.org/10.3233/com-210374","pdf_url":null,"source":{"id":"https://openalex.org/S4210231662","display_name":"Computability","issn_l":"2211-3568","issn":["2211-3568","2211-3576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computability","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal-lirmm.ccsd.cnrs.fr/lirmm-03059686","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040564003","display_name":"Bruno Bauwens","orcid":"https://orcid.org/0000-0002-6138-0591"},"institutions":[{"id":"https://openalex.org/I118501908","display_name":"National Research University Higher School of Economics","ror":"https://ror.org/055f7t516","country_code":"RU","type":"education","lineage":["https://openalex.org/I118501908"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Bruno Bauwens","raw_affiliation_strings":["National Research University Higher School of Economics, Russia"],"raw_orcid":"https://orcid.org/0000-0002-6138-0591","affiliations":[{"raw_affiliation_string":"National Research University Higher School of Economics, Russia","institution_ids":["https://openalex.org/I118501908"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028622176","display_name":"P\u00e9ter G\u00e1cs","orcid":"https://orcid.org/0000-0003-2496-0332"},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Peter G\u00e1cs","raw_affiliation_strings":["Boston University, USA"],"raw_orcid":"https://orcid.org/0000-0003-2496-0332","affiliations":[{"raw_affiliation_string":"Boston University, USA","institution_ids":["https://openalex.org/I111088046"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051376796","display_name":"Andrei Romashchenko","orcid":"https://orcid.org/0000-0001-7723-7880"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307"]},{"id":"https://openalex.org/I4210101743","display_name":"Laboratoire d'Informatique, de Robotique et de Micro\u00e9lectronique de Montpellier","ror":"https://ror.org/013yean28","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I151295451","https://openalex.org/I19894307","https://openalex.org/I4210101743","https://openalex.org/I4210159245","https://openalex.org/I4405261681"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Andrei Romashchenko","raw_affiliation_strings":["LIRMM, University of Montpellier, CNRS, Montpellier, France and IITP RAS, Moscow (on leave)"],"raw_orcid":"https://orcid.org/0000-0001-7723-7880","affiliations":[{"raw_affiliation_string":"LIRMM, University of Montpellier, CNRS, Montpellier, France and IITP RAS, Moscow (on leave)","institution_ids":["https://openalex.org/I19894307","https://openalex.org/I1294671590","https://openalex.org/I4210101743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083603294","display_name":"Alexander Shen","orcid":"https://orcid.org/0000-0001-8605-7734"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307"]},{"id":"https://openalex.org/I4210101743","display_name":"Laboratoire d'Informatique, de Robotique et de Micro\u00e9lectronique de Montpellier","ror":"https://ror.org/013yean28","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I151295451","https://openalex.org/I19894307","https://openalex.org/I4210101743","https://openalex.org/I4210159245","https://openalex.org/I4405261681"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Alexander Shen","raw_affiliation_strings":["LIRMM, University of Montpellier, CNRS, Montpellier, France and IITP RAS, Moscow (on leave)"],"raw_orcid":"https://orcid.org/0000-0001-8605-7734","affiliations":[{"raw_affiliation_string":"LIRMM, University of Montpellier, CNRS, Montpellier, France and IITP RAS, Moscow (on leave)","institution_ids":["https://openalex.org/I19894307","https://openalex.org/I1294671590","https://openalex.org/I4210101743"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5040564003"],"corresponding_institution_ids":["https://openalex.org/I118501908"],"apc_list":null,"apc_paid":null,"fwci":0.3044,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.55662651,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"11","issue":"3-4","first_page":"165","last_page":"185"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998999834060669,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998999834060669,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9965999722480774,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9883999824523926,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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":0.8177928328514099},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6734104752540588},{"id":"https://openalex.org/keywords/tuple","display_name":"Tuple","score":0.6029731035232544},{"id":"https://openalex.org/keywords/kolmogorov-complexity","display_name":"Kolmogorov complexity","score":0.5121228694915771},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4750804007053375},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.4584498107433319},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4580584466457367},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.450038343667984},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3926447331905365},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3440249562263489},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10638678073883057}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8177928328514099},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6734104752540588},{"id":"https://openalex.org/C118930307","wikidata":"https://www.wikidata.org/wiki/Q600590","display_name":"Tuple","level":2,"score":0.6029731035232544},{"id":"https://openalex.org/C2779341405","wikidata":"https://www.wikidata.org/wiki/Q1456811","display_name":"Kolmogorov complexity","level":2,"score":0.5121228694915771},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4750804007053375},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.4584498107433319},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4580584466457367},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.450038343667984},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3926447331905365},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3440249562263489},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10638678073883057},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3233/com-210374","is_oa":false,"landing_page_url":"https://doi.org/10.3233/com-210374","pdf_url":null,"source":{"id":"https://openalex.org/S4210231662","display_name":"Computability","issn_l":"2211-3568","issn":["2211-3568","2211-3576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computability","raw_type":"journal-article"},{"id":"pmh:oai:HAL:lirmm-03059686v2","is_oa":true,"landing_page_url":"https://hal-lirmm.ccsd.cnrs.fr/lirmm-03059686","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"https://content.iospress.com/journals/computability/","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:lirmm-03059686v2","is_oa":true,"landing_page_url":"https://hal-lirmm.ccsd.cnrs.fr/lirmm-03059686","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"https://content.iospress.com/journals/computability/","raw_type":"Journal articles"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.47999998927116394,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W189979554","https://openalex.org/W1589181118","https://openalex.org/W1696733972","https://openalex.org/W1758856473","https://openalex.org/W1975698236","https://openalex.org/W1978909760","https://openalex.org/W2005097301","https://openalex.org/W2006936891","https://openalex.org/W2039310436","https://openalex.org/W2113940092","https://openalex.org/W2119369563","https://openalex.org/W2132219316","https://openalex.org/W2147681281","https://openalex.org/W2161024633","https://openalex.org/W2330864293","https://openalex.org/W2570541819","https://openalex.org/W2763382833","https://openalex.org/W2963385756","https://openalex.org/W4210858743"],"related_works":["https://openalex.org/W2143551613","https://openalex.org/W4245395944","https://openalex.org/W1979740464","https://openalex.org/W1485395638","https://openalex.org/W2138823233","https://openalex.org/W2143345456","https://openalex.org/W2023236823","https://openalex.org/W1789991335","https://openalex.org/W2562731034","https://openalex.org/W3005820693"],"abstract_inverted_index":{"Finding":[0],"all":[1],"linear":[2,72,130,172,254],"inequalities":[3,21,59,73,108,131,173],"for":[4,22,74,118,132,176,203,222,259,266],"entropies":[5,23,75,133,178],"remains":[6],"an":[7],"important":[8],"open":[9],"question":[10],"in":[11,34,87,148,166,215],"information":[12,120,168,283],"theory.":[13,284],"For":[14],"a":[15,49,157,217,231,238,271],"long":[16],"time":[17],"the":[18,41,69,80,119,127,170,199,204,223,277,280],"only":[19],"known":[20,143],"of":[24,26,52,71,89,94,115,122,129,160,179,181,187,189,206,208,219,234],"tuples":[25,180,188],"random":[27,182],"variables":[28,183],"were":[29,60],"Shannon":[30,53,177],"(submodularity)":[31],"inequalities.":[32],"Only":[33],"1998":[35,39],"Zhang":[36],"and":[37,55,184],"Yeung":[38,100],"found":[40,61],"first":[42],"inequality":[43,255],"that":[44,68,150,252,256],"cannot":[45,153],"be":[46,84,154],"represented":[47],"as":[48],"convex":[50],"combination":[51],"inequalities,":[54],"several":[56],"other":[57],"non-Shannon":[58,107],"soon":[62],"after":[63],"that.":[64],"It":[65],"turned":[66],"out":[67],"class":[70,82,128,152,163],"is":[76,134,257,263],"rather":[77],"fundamental,":[78],"since":[79],"same":[81,171],"can":[83],"equivalently":[85],"defined":[86],"terms":[88],"subgroup":[90],"sizes":[91],"or":[92,261],"projections":[93],"multidimensional":[95],"sets":[96],"(Chan":[97],"2001,":[98],"Chan,":[99],"2002,":[101],"Romashchenko,":[102],"Shen,":[103],"Vereshchagin":[104],"2000).":[105],"The":[106],"have":[109],"interesting":[110],"applications":[111],"(e.g.,":[112,144],"to":[113,279],"proofs":[114],"lower":[116],"bounds":[117],"ratio":[121],"secret":[123],"sharing":[124],"schemes).":[125],"Still":[126],"not":[135],"well":[136],"understood,":[137],"though":[138],"some":[139],"partial":[140],"results":[141],"are":[142,174],"Mat\u00fa\u0161":[145],"has":[146],"shown":[147],"2007":[149],"this":[151,220,227,248],"generated":[155],"by":[156],"finite":[158],"family":[159],"inequalities).":[161],"This":[162,195],"also":[164,264],"appears":[165],"algorithmic":[167,282],"theory:":[169],"true":[175,258,265],"Kolmogorov":[185,268],"complexities":[186,260,269],"strings":[190,209],"(Hammer":[191],"et":[192],"al.,":[193],"1997).":[194],"parallelism":[196,278],"started":[197],"with":[198,210,237,270],"Kolmogorov\u2013Levin":[200],"formula":[201,221],"1968":[202],"complexity":[205],"pairs":[207],"logarithmic":[211],"precision.":[212],"Longpr\u00e9":[213],"proved":[214],"1986":[216],"version":[218,233],"space-bounded":[224,267,281],"complexities.":[225],"In":[226],"paper":[228],"we":[229,250],"prove":[230],"stronger":[232],"Longpr\u00e9\u2019s":[235],"result":[236],"tighter":[239],"space":[240,273],"bound,":[241],"using":[242,247],"Sipser\u2019s":[243],"trick":[244],"1980.":[245],"Then,":[246],"result,":[249],"show":[251],"every":[253],"entropies,":[262],"polynomial":[272],"overhead,":[274],"thus":[275],"extending":[276]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}