{"id":"https://openalex.org/W2771811964","doi":"https://doi.org/10.1145/3188745.3188838","title":"Monotone circuit lower bounds from resolution","display_name":"Monotone circuit lower bounds from resolution","publication_year":2018,"publication_date":"2018-06-20","ids":{"openalex":"https://openalex.org/W2771811964","doi":"https://doi.org/10.1145/3188745.3188838","mag":"2771811964"},"language":"en","primary_location":{"id":"doi:10.1145/3188745.3188838","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3188745.3188838","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://infoscience.epfl.ch/handle/20.500.14299/174149","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027551258","display_name":"Ankit Garg","orcid":"https://orcid.org/0000-0002-3343-0061"},"institutions":[{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ankit Garg","raw_affiliation_strings":["Microsoft Research, USA"],"affiliations":[{"raw_affiliation_string":"Microsoft Research, USA","institution_ids":["https://openalex.org/I1290206253"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065903790","display_name":"Mika G\u00f6\u00f6s","orcid":null},"institutions":[{"id":"https://openalex.org/I2801851002","display_name":"Harvard University Press","ror":"https://ror.org/006v7bf86","country_code":"US","type":"other","lineage":["https://openalex.org/I136199984","https://openalex.org/I2801851002"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mika G\u00f6\u00f6s","raw_affiliation_strings":["Harvard University, USA"],"affiliations":[{"raw_affiliation_string":"Harvard University, USA","institution_ids":["https://openalex.org/I2801851002"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112312033","display_name":"Pritish Kamath","orcid":null},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pritish Kamath","raw_affiliation_strings":["Massachusetts Institute of Technology, USA"],"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology, USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064529000","display_name":"Dmitry Sokolov","orcid":"https://orcid.org/0000-0003-2809-3467"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Dmitry Sokolov","raw_affiliation_strings":["KTH, Sweden"],"affiliations":[{"raw_affiliation_string":"KTH, Sweden","institution_ids":["https://openalex.org/I86987016"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5027551258"],"corresponding_institution_ids":["https://openalex.org/I1290206253"],"apc_list":null,"apc_paid":null,"fwci":0.2019,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.49156588,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"24","issue":null,"first_page":"902","last_page":"911"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9955999851226807,"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":0.9955999851226807,"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/T10237","display_name":"Cryptography and Data Security","score":0.9904999732971191,"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/T10142","display_name":"Formal Methods in Verification","score":0.9883999824523926,"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/monotone-polygon","display_name":"Monotone polygon","score":0.8755879998207092},{"id":"https://openalex.org/keywords/resolution","display_name":"Resolution (logic)","score":0.7061387896537781},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5586244463920593},{"id":"https://openalex.org/keywords/gadget","display_name":"Gadget","score":0.5528374910354614},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5358231067657471},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5229492783546448},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5165244936943054},{"id":"https://openalex.org/keywords/circuit-complexity","display_name":"Circuit complexity","score":0.5135488510131836},{"id":"https://openalex.org/keywords/proof-complexity","display_name":"Proof complexity","score":0.4441041946411133},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.43682050704956055},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3245020806789398},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.23835968971252441},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.19301125407218933},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08048686385154724},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0770847499370575}],"concepts":[{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.8755879998207092},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.7061387896537781},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5586244463920593},{"id":"https://openalex.org/C119770614","wikidata":"https://www.wikidata.org/wiki/Q5516347","display_name":"Gadget","level":2,"score":0.5528374910354614},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5358231067657471},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5229492783546448},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5165244936943054},{"id":"https://openalex.org/C90702460","wikidata":"https://www.wikidata.org/wiki/Q1055112","display_name":"Circuit complexity","level":3,"score":0.5135488510131836},{"id":"https://openalex.org/C105605280","wikidata":"https://www.wikidata.org/wiki/Q7249999","display_name":"Proof complexity","level":3,"score":0.4441041946411133},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.43682050704956055},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3245020806789398},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.23835968971252441},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.19301125407218933},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08048686385154724},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0770847499370575},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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":3,"locations":[{"id":"doi:10.1145/3188745.3188838","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3188745.3188838","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},{"id":"pmh:oai:infoscience.epfl.ch:282317","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/174149","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"research article"},{"id":"mag:2771811964","is_oa":false,"landing_page_url":"https://dblp.uni-trier.de/db/journals/eccc/eccc24.html#GargGKS17","pdf_url":null,"source":{"id":"https://openalex.org/S4306509107","display_name":"Electron. Colloquium Comput. Complex.","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Electron. Colloquium Comput. Complex.","raw_type":null}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:282317","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/174149","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"research article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1550421702","https://openalex.org/W1992641578","https://openalex.org/W2005938320","https://openalex.org/W2009546904","https://openalex.org/W2012476164","https://openalex.org/W2025279645","https://openalex.org/W2030387300","https://openalex.org/W2037611290","https://openalex.org/W2038193643","https://openalex.org/W2039681975","https://openalex.org/W2044095368","https://openalex.org/W2044632231","https://openalex.org/W2078608416","https://openalex.org/W2083193613","https://openalex.org/W2084384424","https://openalex.org/W2093224650","https://openalex.org/W2099594773","https://openalex.org/W2129413084","https://openalex.org/W2141448110","https://openalex.org/W2159233562","https://openalex.org/W2160909640","https://openalex.org/W2220094226","https://openalex.org/W2322748670","https://openalex.org/W2412595538","https://openalex.org/W2536688806","https://openalex.org/W2563018125","https://openalex.org/W2583114560","https://openalex.org/W2609873691","https://openalex.org/W2768698559","https://openalex.org/W2771811964","https://openalex.org/W3137706500","https://openalex.org/W3197629853"],"related_works":["https://openalex.org/W2809677183","https://openalex.org/W3022335368","https://openalex.org/W2039681975","https://openalex.org/W1618870210","https://openalex.org/W2152772468","https://openalex.org/W2604429467","https://openalex.org/W2984191194","https://openalex.org/W2025279645","https://openalex.org/W2999348373","https://openalex.org/W1495791143","https://openalex.org/W1542783897","https://openalex.org/W2083348414","https://openalex.org/W3035052232","https://openalex.org/W2991838776","https://openalex.org/W2007805020","https://openalex.org/W73004332","https://openalex.org/W2142777206","https://openalex.org/W2730643286","https://openalex.org/W2093469244","https://openalex.org/W2996566436"],"abstract_inverted_index":{"For":[0],"any":[1,29],"unsatisfiable":[2],"CNF":[3],"formula":[4],"F":[5,23,47],"that":[6,18,41],"is":[7,24],"hard":[8,25],"to":[9,26,56],"refute":[10,27],"in":[11,28],"the":[12,66],"Resolution":[13],"proof":[14,30,69],"system,":[15],"we":[16],"show":[17],"a":[19,42],"gadget-composed":[20],"version":[21],"of":[22],"system":[31],"whose":[32],"lines":[33],"are":[34],"computed":[35],"by":[36],"efficient":[37],"communication":[38],"protocols\u2014or,":[39],"equivalently,":[40],"monotone":[43,50,57],"function":[44],"associated":[45],"with":[46],"has":[48],"large":[49],"circuit":[51],"complexity.":[52],"Our":[53],"result":[54],"extends":[55],"real":[58],"circuits,":[59],"which":[60],"yields":[61],"new":[62],"lower":[63],"bounds":[64],"for":[65],"Cutting":[67],"Planes":[68],"system.":[70]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
