{"id":"https://openalex.org/W1988511047","doi":"https://doi.org/10.1145/2746539.2746570","title":"Boolean Function Monotonicity Testing Requires (Almost) n 1/2 Non-adaptive Queries","display_name":"Boolean Function Monotonicity Testing Requires (Almost) n 1/2 Non-adaptive Queries","publication_year":2015,"publication_date":"2015-06-03","ids":{"openalex":"https://openalex.org/W1988511047","doi":"https://doi.org/10.1145/2746539.2746570","mag":"1988511047"},"language":"en","primary_location":{"id":"doi:10.1145/2746539.2746570","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2746539.2746570","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the forty-seventh annual ACM symposium on Theory of Computing","raw_type":"proceedings-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/A5100329834","display_name":"Xi Chen","orcid":"https://orcid.org/0000-0001-5661-515X"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Xi Chen","raw_affiliation_strings":["Columbia University, New York, NY, USA"],"affiliations":[{"raw_affiliation_string":"Columbia University, New York, NY, USA","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081127804","display_name":"Anindya De","orcid":"https://orcid.org/0000-0001-6795-8211"},"institutions":[{"id":"https://openalex.org/I2799411422","display_name":"Center for Discrete Mathematics and Theoretical Computer Science","ror":"https://ror.org/00k551w06","country_code":"US","type":"facility","lineage":["https://openalex.org/I102322142","https://openalex.org/I118347220","https://openalex.org/I1283103587","https://openalex.org/I1311060795","https://openalex.org/I20089843","https://openalex.org/I2799411422","https://openalex.org/I4210107353"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anindya De","raw_affiliation_strings":["IAS / DIMACS, Princeton, NJ, USA"],"affiliations":[{"raw_affiliation_string":"IAS / DIMACS, Princeton, NJ, USA","institution_ids":["https://openalex.org/I2799411422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014866889","display_name":"Rocco A. Servedio","orcid":"https://orcid.org/0000-0003-2407-543X"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rocco A. Servedio","raw_affiliation_strings":["Columbia University, New York, NY, USA"],"affiliations":[{"raw_affiliation_string":"Columbia University, New York, NY, USA","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029451171","display_name":"Li-Yang Tan","orcid":"https://orcid.org/0000-0002-1279-4384"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Li-Yang Tan","raw_affiliation_strings":["Columbia University, New York, NY, USA"],"affiliations":[{"raw_affiliation_string":"Columbia University, New York, NY, USA","institution_ids":["https://openalex.org/I78577930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100329834"],"corresponding_institution_ids":["https://openalex.org/I78577930"],"apc_list":null,"apc_paid":null,"fwci":9.1134,"has_fulltext":false,"cited_by_count":53,"citation_normalized_percentile":{"value":0.98401872,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"519","last_page":"528"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998999834060669,"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/T10720","display_name":"Complexity and Algorithms in Graphs","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/T12072","display_name":"Machine Learning and Algorithms","score":0.9994999766349792,"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":0.9987000226974487,"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/boolean-function","display_name":"Boolean function","score":0.7876496315002441},{"id":"https://openalex.org/keywords/property-testing","display_name":"Property testing","score":0.7783136367797852},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.715181827545166},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6766760349273682},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6605058312416077},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5721473693847656},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5683104991912842},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5451059937477112},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5285360217094421},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.46438702940940857},{"id":"https://openalex.org/keywords/true-quantified-boolean-formula","display_name":"True quantified Boolean formula","score":0.421735554933548},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4129975736141205},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3495975732803345},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30607515573501587}],"concepts":[{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.7876496315002441},{"id":"https://openalex.org/C123842658","wikidata":"https://www.wikidata.org/wiki/Q2918980","display_name":"Property testing","level":2,"score":0.7783136367797852},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.715181827545166},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6766760349273682},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6605058312416077},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5721473693847656},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5683104991912842},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5451059937477112},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5285360217094421},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46438702940940857},{"id":"https://openalex.org/C200415742","wikidata":"https://www.wikidata.org/wiki/Q1350285","display_name":"True quantified Boolean formula","level":2,"score":0.421735554933548},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4129975736141205},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3495975732803345},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30607515573501587},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2746539.2746570","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2746539.2746570","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the forty-seventh annual ACM symposium on Theory of Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1533324522","https://openalex.org/W1586809440","https://openalex.org/W1964919148","https://openalex.org/W1973616368","https://openalex.org/W1986542077","https://openalex.org/W1988511047","https://openalex.org/W1998272044","https://openalex.org/W2001141376","https://openalex.org/W2007597463","https://openalex.org/W2038521541","https://openalex.org/W2053267965","https://openalex.org/W2061468234","https://openalex.org/W2065526570","https://openalex.org/W2085693797","https://openalex.org/W2105984887","https://openalex.org/W2117439842","https://openalex.org/W2127090196","https://openalex.org/W2162117620","https://openalex.org/W2212352090","https://openalex.org/W2296570267","https://openalex.org/W2400386569","https://openalex.org/W2751862591","https://openalex.org/W2914539165","https://openalex.org/W2949466244","https://openalex.org/W2952856725","https://openalex.org/W4235805661"],"related_works":["https://openalex.org/W1489292980","https://openalex.org/W4247687185","https://openalex.org/W2795079910","https://openalex.org/W2569682947","https://openalex.org/W1430963189","https://openalex.org/W1974262772","https://openalex.org/W2049901819","https://openalex.org/W2052430123","https://openalex.org/W2951610245","https://openalex.org/W3037410748"],"abstract_inverted_index":{"We":[0],"prove":[1],"a":[2,35],"lower":[3,37],"bound":[4,38,56],"of":[5,15,57],"\u03a9(n1/2-c),":[6],"for":[7,20,39],"all":[8],"c>":[9],"0,":[10],"on":[11],"the":[12,40,53],"query":[13],"complexity":[14],"(two-sided":[16],"error)":[17],"non-adaptive":[18],"algorithms":[19],"testing":[21],"whether":[22],"an":[23],"n-variable":[24],"Boolean":[25],"function":[26],"is":[27,49],"monotone":[28],"versus":[29],"constant-far":[30],"from":[31],"monotone.":[32],"This":[33],"improves":[34],"~\u03a9(n1/5)":[36],"same":[41],"problem":[42],"that":[43],"was":[44],"obtained":[45],"in":[46],"[6],":[47],"and":[48],"very":[50],"close":[51],"to":[52],"recent":[54],"upper":[55],"~O(n1/2/\u03b52)":[58],"by":[59],"Khot":[60],"et":[61],"al.":[62],"[13].":[63]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":12},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
