{"id":"https://openalex.org/W2012723916","doi":"https://doi.org/10.1007/s00037-011-0013-5","title":"Derandomized Parallel Repetition via Structured PCPs","display_name":"Derandomized Parallel Repetition via Structured PCPs","publication_year":2011,"publication_date":"2011-05-25","ids":{"openalex":"https://openalex.org/W2012723916","doi":"https://doi.org/10.1007/s00037-011-0013-5","mag":"2012723916"},"language":"en","primary_location":{"id":"doi:10.1007/s00037-011-0013-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00037-011-0013-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00037-011-0013-5.pdf","source":{"id":"https://openalex.org/S193995496","display_name":"Computational Complexity","issn_l":"1016-3328","issn":["1016-3328","1420-8954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"computational complexity","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00037-011-0013-5.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029616850","display_name":"Irit Dinur","orcid":"https://orcid.org/0000-0002-4335-5237"},"institutions":[{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Irit Dinur","raw_affiliation_strings":["Weizmann Institute of Science, 76100, Rehovot, Israel"],"affiliations":[{"raw_affiliation_string":"Weizmann Institute of Science, 76100, Rehovot, Israel","institution_ids":["https://openalex.org/I53964585"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071686980","display_name":"Or Meir","orcid":"https://orcid.org/0000-0001-5031-0750"},"institutions":[{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Or Meir","raw_affiliation_strings":["Weizmann Institute of Science, 76100, Rehovot, Israel"],"affiliations":[{"raw_affiliation_string":"Weizmann Institute of Science, 76100, Rehovot, Israel","institution_ids":["https://openalex.org/I53964585"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5029616850"],"corresponding_institution_ids":["https://openalex.org/I53964585"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.3231,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.59427923,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"20","issue":"2","first_page":"207","last_page":"327"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9948999881744385,"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":0.9948999881744385,"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":0.9944000244140625,"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/T10237","display_name":"Cryptography and Data Security","score":0.9900000095367432,"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/soundness","display_name":"Soundness","score":0.908880352973938},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5780593156814575},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5458959341049194},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5216039419174194},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4923933744430542},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46789371967315674},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4589451551437378},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4549921452999115},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.42556536197662354},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3159099221229553}],"concepts":[{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.908880352973938},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5780593156814575},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5458959341049194},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5216039419174194},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4923933744430542},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46789371967315674},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4589451551437378},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4549921452999115},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.42556536197662354},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3159099221229553},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":9,"locations":[{"id":"doi:10.1007/s00037-011-0013-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00037-011-0013-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00037-011-0013-5.pdf","source":{"id":"https://openalex.org/S193995496","display_name":"Computational Complexity","issn_l":"1016-3328","issn":["1016-3328","1420-8954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"computational complexity","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1002.1606","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1002.1606","pdf_url":"https://arxiv.org/pdf/1002.1606","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2950088100","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1002.1606.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.225.8841","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.225.8841","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.wisdom.weizmann.ac.il/%7Eorm/papers/derand_parallel_repetition_full.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.566.3493","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.566.3493","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.ias.edu/~ormeir//papers/derand_parallel_repetition_full.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.731.8319","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.731.8319","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.wisdom.weizmann.ac.il/%7Edinuri/mypapers/derand_parallel_repetition_full.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.769.8312","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.769.8312","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1002.1606.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.1002.1606","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1002.1606","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"mag:2012723916","is_oa":false,"landing_page_url":"http://dblp.uni-trier.de/db/journals/eccc/eccc17.html#DinurM10","pdf_url":null,"source":{"id":"https://openalex.org/S11189987","display_name":"Electronic colloquium on computational complexity","issn_l":"1433-8092","issn":["1433-8092"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Electronic colloquium on computational complexity","raw_type":null}],"best_oa_location":{"id":"doi:10.1007/s00037-011-0013-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00037-011-0013-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00037-011-0013-5.pdf","source":{"id":"https://openalex.org/S193995496","display_name":"Computational Complexity","issn_l":"1016-3328","issn":["1016-3328","1420-8954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"computational complexity","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6836076933","display_name":null,"funder_award_id":"1041/08","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320320946","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306"},{"id":"https://openalex.org/F4320322248","display_name":"Israel Academy of Sciences and Humanities","ror":"https://ror.org/03c6c9520"},{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2012723916.pdf","grobid_xml":"https://content.openalex.org/works/W2012723916.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1970259241","https://openalex.org/W2003159902","https://openalex.org/W2006837132","https://openalex.org/W2012723916","https://openalex.org/W2019578639","https://openalex.org/W2021413381","https://openalex.org/W2029859729","https://openalex.org/W2038225707","https://openalex.org/W2053086236","https://openalex.org/W2078090052","https://openalex.org/W2084204509","https://openalex.org/W2086653003","https://openalex.org/W2091602684","https://openalex.org/W2103539404","https://openalex.org/W2130703751","https://openalex.org/W2148352980","https://openalex.org/W2149815049","https://openalex.org/W2150560365","https://openalex.org/W2152221184","https://openalex.org/W2161666429","https://openalex.org/W2164606052","https://openalex.org/W2610313478","https://openalex.org/W4235946010"],"related_works":["https://openalex.org/W2950088100","https://openalex.org/W2146392217","https://openalex.org/W2556940513","https://openalex.org/W2130703751","https://openalex.org/W2103539404","https://openalex.org/W1968556476","https://openalex.org/W336776360","https://openalex.org/W1978478346","https://openalex.org/W2023511135","https://openalex.org/W1605144615","https://openalex.org/W184142732","https://openalex.org/W1490233153","https://openalex.org/W1994524667","https://openalex.org/W2408482412","https://openalex.org/W2403422998","https://openalex.org/W2950861886","https://openalex.org/W3105296533","https://openalex.org/W2084204509","https://openalex.org/W2153413398","https://openalex.org/W2144539217"],"abstract_inverted_index":{"A":[0],"PCP":[1,68,110,157,183,235,261,285],"is":[2,21,36,56,62,96,140,158,167,236,263],"a":[3,16,26,50,53,67,86,130,161,170,181,218,234,253,271,300],"proof":[4,11,32,51,93],"system":[5,69],"for":[6,102,143,149,276],"NP":[7],"in":[8,34,146,191,265],"which":[9,139],"the":[10,31,47,58,83,92,134,141,147,186,195,209,240,293],"can":[12,126,286],"be":[13,127,287],"checked":[14],"by":[15,296],"probabilistic":[17],"verifier.":[18],"The":[19,44,153],"verifier":[20,48],"only":[22,116],"allowed":[23,37],"to":[24,38,73,100,133,179,252],"read":[25],"very":[27],"small":[28,224,228],"portion":[29],"of":[30,52,66,89,197,208,211,220,233,245],"and":[33,61,119,199,213,227,248],"return":[35],"err":[39],"with":[40,77,185,223],"some":[41],"bounded":[42],"probability.":[43],"probability":[45],"that":[46,70,114,283,291],"accepts":[49],"false":[54],"claim":[55],"called":[57],"soundness":[59,79,122,225],"error":[60,80,226],"an":[63,205],"important":[64,98],"parameter":[65,151],"one":[71,203,290],"seeks":[72],"minimize.":[74],"Constructing":[75],"PCPs":[76,113,222],"subconstant":[78,121],"and,":[81],"at":[82],"same":[84,187],"time,":[85],"minimal":[87],"number":[88],"queries":[90,118],"into":[91,194,289],"(namely":[94],"two)":[95],"especially":[97],"due":[99],"applications":[101],"inapproximability.":[103],"In":[104],"this":[105,150,192],"work,":[106],"we":[107,281],"construct":[108],"such":[109],"verifiers,":[111],"i.e.,":[112],"make":[115],"two":[117,266],"have":[120],"error.":[123],"Our":[124,231],"construction":[125,166,178,207,219,232,262],"viewed":[128],"as":[129],"combinatorial":[131],"alternative":[132,206],"\u201cmanifold":[135,154],"vs.":[136,155],"point\u201d":[137,156],"construction,":[138],"basis":[142],"all":[144],"constructions":[145],"literature":[148],"range.":[152],"based":[159,168,237],"on":[160,169,238,299],"low-degree":[162],"test,":[163],"while":[164],"our":[165,177,260],"direct":[171,242],"product":[172,243],"test.":[173],"We":[174,268],"also":[175],"extend":[176],"yield":[180],"decodable":[182],"(dPCP)":[184],"parameters.":[188],"By":[189],"plugging":[190],"dPCP":[193],"scheme":[196],"Dinur":[198],"Harsha":[200],"(FOCS":[201,215],"2009),":[202],"gets":[204],"result":[210],"Moshkovitz":[212],"Raz":[214],"2008),":[216],"namely":[217],"two-query":[221],"alphabet":[229],"size.":[230],"extending":[239],"derandomized":[241,254,272],"test":[244],"Impagliazzo,":[246],"Kabanets,":[247],"Wigderson":[249],"(STOC":[250],"09)":[251],"parallel":[255,273],"repetition":[256,274],"theorem.":[257],"More":[258],"accurately,":[259],"obtained":[264],"steps.":[267],"first":[269],"prove":[270],"theorem":[275],"specially":[277],"structured":[278],"PCPs.":[279],"Then,":[280],"show":[282],"any":[284],"transformed":[288],"has":[292],"required":[294],"structure,":[295],"embedding":[297],"it":[298],"de-Bruijn":[301],"graph.":[302]},"counts_by_year":[],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}