{"id":"https://openalex.org/W3205333053","doi":"https://doi.org/10.1145/3519935.3519949","title":"Nonlocal games, compression theorems, and the arithmetical hierarchy","display_name":"Nonlocal games, compression theorems, and the arithmetical hierarchy","publication_year":2022,"publication_date":"2022-06-09","ids":{"openalex":"https://openalex.org/W3205333053","doi":"https://doi.org/10.1145/3519935.3519949","mag":"3205333053"},"language":"en","primary_location":{"id":"doi:10.1145/3519935.3519949","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3519935.3519949","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2110.04651","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055624177","display_name":"Hamoon Mousavi","orcid":null},"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":"Hamoon Mousavi","raw_affiliation_strings":["Columbia University, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Columbia University, USA","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012399444","display_name":"Seyed Sajjad Nezhadi","orcid":"https://orcid.org/0000-0003-2758-5224"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Seyed Sajjad Nezhadi","raw_affiliation_strings":["University of Maryland, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Maryland, USA","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085540097","display_name":"Henry Yuen","orcid":null},"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":"Henry Yuen","raw_affiliation_strings":["Columbia University, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Columbia University, USA","institution_ids":["https://openalex.org/I78577930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3691,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.82399095,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9995999932289124,"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":0.9995999932289124,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9954000115394592,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/arithmetic-function","display_name":"Arithmetic function","score":0.6721532940864563},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6533634662628174},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5867282152175903},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5197603106498718},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5153926610946655},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.48837941884994507},{"id":"https://openalex.org/keywords/core","display_name":"Core (optical fiber)","score":0.436258465051651},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.43180131912231445},{"id":"https://openalex.org/keywords/compression","display_name":"Compression (physics)","score":0.4293990135192871},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.4237111210823059},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3958081603050232},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18528780341148376},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.16772526502609253},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10233572125434875}],"concepts":[{"id":"https://openalex.org/C112343008","wikidata":"https://www.wikidata.org/wiki/Q140744","display_name":"Arithmetic function","level":2,"score":0.6721532940864563},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6533634662628174},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5867282152175903},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5197603106498718},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5153926610946655},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.48837941884994507},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.436258465051651},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.43180131912231445},{"id":"https://openalex.org/C180016635","wikidata":"https://www.wikidata.org/wiki/Q2712821","display_name":"Compression (physics)","level":2,"score":0.4293990135192871},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.4237111210823059},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3958081603050232},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18528780341148376},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.16772526502609253},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10233572125434875},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3519935.3519949","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3519935.3519949","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2110.04651","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2110.04651","pdf_url":"https://arxiv.org/pdf/2110.04651","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":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2110.04651","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2110.04651","pdf_url":"https://arxiv.org/pdf/2110.04651","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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W1591805245","https://openalex.org/W1668576541","https://openalex.org/W1976417016","https://openalex.org/W1991877988","https://openalex.org/W2000147721","https://openalex.org/W2009005793","https://openalex.org/W2028815089","https://openalex.org/W2033376433","https://openalex.org/W2039308336","https://openalex.org/W2055874354","https://openalex.org/W2058302064","https://openalex.org/W2067754486","https://openalex.org/W2070683077","https://openalex.org/W2104882047","https://openalex.org/W2109989966","https://openalex.org/W2114382532","https://openalex.org/W2137696127","https://openalex.org/W2148791594","https://openalex.org/W2162178369","https://openalex.org/W2177980858","https://openalex.org/W2193871515","https://openalex.org/W2328912295","https://openalex.org/W2409246750","https://openalex.org/W2521311808","https://openalex.org/W2527940898","https://openalex.org/W2530940551","https://openalex.org/W2570910249","https://openalex.org/W2627090645","https://openalex.org/W2688263596","https://openalex.org/W2727177017","https://openalex.org/W2934298435","https://openalex.org/W2942051472","https://openalex.org/W2952228226","https://openalex.org/W2963105196","https://openalex.org/W2963458829","https://openalex.org/W3038043972","https://openalex.org/W3088983453","https://openalex.org/W3099772093","https://openalex.org/W3101237961","https://openalex.org/W3102418387","https://openalex.org/W3103473269","https://openalex.org/W3104165767","https://openalex.org/W3104728484","https://openalex.org/W3105661328","https://openalex.org/W3211982513","https://openalex.org/W4286907576","https://openalex.org/W4289453939","https://openalex.org/W4293869145","https://openalex.org/W4302287195","https://openalex.org/W4394656716","https://openalex.org/W4394657716"],"related_works":["https://openalex.org/W2000071592","https://openalex.org/W1660676450","https://openalex.org/W1586473494","https://openalex.org/W2382181079","https://openalex.org/W2125955092","https://openalex.org/W2119550093","https://openalex.org/W2074726530","https://openalex.org/W582971654","https://openalex.org/W1895405313","https://openalex.org/W2800754277"],"abstract_inverted_index":{"We":[0],"investigate":[1],"the":[2,5,11,20,41,58,71,86],"connection":[3],"between":[4],"complexity":[6,21],"of":[7,16,22,45,65,75],"nonlocal":[8,47,77],"games":[9],"and":[10,36],"arithmetical":[12,23],"hierarchy,":[13],"a":[14,46,76],"classification":[15],"languages":[17],"according":[18],"to":[19,81],"formulas":[24],"defining":[25],"them.":[26],"It":[27],"was":[28],"recently":[29],"shown":[30],"by":[31],"Ji,":[32],"Natarajan,":[33],"Vidick,":[34],"Wright":[35],"Yuen":[37],"that":[38,68],"deciding":[39,69],"whether":[40,70],"(finite-dimensional)":[42],"quantum":[43],"value":[44,74],"game":[48,78],"is":[49,55,79,83],"1":[50,82],"or":[51],"at":[52],"most":[53],"1/2":[54],"complete":[56,84],"for":[57,85],"class":[59,87],"\u03a31":[60],"(i.e.,":[61,89],").":[62],"A":[63],"result":[64],"Slofstra":[66],"implies":[67],"commuting":[72],"operator":[73],"equal":[80],"\u03a01":[88],"coRE).":[90]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
