{"id":"https://openalex.org/W4401825198","doi":"https://doi.org/10.1142/s0219061324500235","title":"On the consistency of circuit lower bounds for non-deterministic time","display_name":"On the consistency of circuit lower bounds for non-deterministic time","publication_year":2024,"publication_date":"2024-08-23","ids":{"openalex":"https://openalex.org/W4401825198","doi":"https://doi.org/10.1142/s0219061324500235"},"language":"en","primary_location":{"id":"doi:10.1142/s0219061324500235","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219061324500235","pdf_url":null,"source":{"id":"https://openalex.org/S29890666","display_name":"Journal of Mathematical Logic","issn_l":"0219-0613","issn":["0219-0613","1793-6691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://upcommons.upc.edu/bitstreams/d8bfcd52-4028-49f2-99f8-17440022fdee/download","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003671114","display_name":"Albert Atserias","orcid":"https://orcid.org/0000-0002-3732-1989"},"institutions":[{"id":"https://openalex.org/I4210122226","display_name":"Centre de Recerca Matem\u00e0tica","ror":"https://ror.org/020s51w82","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210122226","https://openalex.org/I4387153040"]},{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Albert Atserias","raw_affiliation_strings":["Universitat Polit\u00e8cnica de Catalunya, i Centre de Recerca Matem\u00e0tica, Barcelona, Spain"],"raw_orcid":"https://orcid.org/0000-0002-3732-1989","affiliations":[{"raw_affiliation_string":"Universitat Polit\u00e8cnica de Catalunya, i Centre de Recerca Matem\u00e0tica, Barcelona, Spain","institution_ids":["https://openalex.org/I4210122226","https://openalex.org/I9617848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067079243","display_name":"Sam Buss","orcid":"https://orcid.org/0000-0003-3837-334X"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sam Buss","raw_affiliation_strings":["University of California, San Diego, La Jolla, California, USA"],"raw_orcid":"https://orcid.org/0000-0003-3837-334X","affiliations":[{"raw_affiliation_string":"University of California, San Diego, La Jolla, California, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102385784","display_name":"Moritz M\u00fcller","orcid":"https://orcid.org/0000-0001-6983-5493"},"institutions":[{"id":"https://openalex.org/I186354981","display_name":"University of Passau","ror":"https://ror.org/05ydjnb78","country_code":"DE","type":"education","lineage":["https://openalex.org/I186354981"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Moritz M\u00fcller","raw_affiliation_strings":["Universit\u00e4t Passau, Passau, Germany"],"raw_orcid":"https://orcid.org/0000-0001-6983-5493","affiliations":[{"raw_affiliation_string":"Universit\u00e4t Passau, Passau, Germany","institution_ids":["https://openalex.org/I186354981"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06747676,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"25","issue":"03","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10363","display_name":"Low-power high-performance VLSI design","score":0.9958000183105469,"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"}},"topics":[{"id":"https://openalex.org/T10363","display_name":"Low-power high-performance VLSI design","score":0.9958000183105469,"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"}},{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9864000082015991,"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"}},{"id":"https://openalex.org/T11032","display_name":"VLSI and Analog Circuit Testing","score":0.9769999980926514,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/mathematics","display_name":"Mathematics","score":0.6790409088134766},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.675935685634613},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4093395471572876},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.329792320728302}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6790409088134766},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.675935685634613},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4093395471572876},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.329792320728302}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0219061324500235","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219061324500235","pdf_url":null,"source":{"id":"https://openalex.org/S29890666","display_name":"Journal of Mathematical Logic","issn_l":"0219-0613","issn":["0219-0613","1793-6691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Logic","raw_type":"journal-article"},{"id":"pmh:oai:upcommons.upc.edu:2117/421583","is_oa":true,"landing_page_url":"https://hdl.handle.net/2117/421583","pdf_url":"https://upcommons.upc.edu/bitstreams/d8bfcd52-4028-49f2-99f8-17440022fdee/download","source":{"id":"https://openalex.org/S4377196262","display_name":"UPCommons institutional repository (Universitat Polit\u00e8cnica de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9617848","host_organization_name":"Universitat Polit\u00e8cnica de Catalunya","host_organization_lineage":["https://openalex.org/I9617848"],"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":"Article"}],"best_oa_location":{"id":"pmh:oai:upcommons.upc.edu:2117/421583","is_oa":true,"landing_page_url":"https://hdl.handle.net/2117/421583","pdf_url":"https://upcommons.upc.edu/bitstreams/d8bfcd52-4028-49f2-99f8-17440022fdee/download","source":{"id":"https://openalex.org/S4377196262","display_name":"UPCommons institutional repository (Universitat Polit\u00e8cnica de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9617848","host_organization_name":"Universitat Polit\u00e8cnica de Catalunya","host_organization_lineage":["https://openalex.org/I9617848"],"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":"Article"},"sustainable_development_goals":[{"score":0.4699999988079071,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G1070868109","display_name":null,"funder_award_id":"578919","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G7386763261","display_name":null,"funder_award_id":"PID2019-109137GB-C22","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G84477964","display_name":null,"funder_award_id":"CEX2020-001084-M","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G8684520763","display_name":null,"funder_award_id":"PID2019","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320332603","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":null}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4401825198.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885"],"abstract_inverted_index":{"We":[0,54],"prove":[1],"the":[2,24,32,58,64,67,73,82,104],"first":[3],"unconditional":[4],"consistency":[5],"result":[6,102],"for":[7,63],"superpolynomial":[8,90],"circuit":[9,108],"lower":[10,109],"bounds":[11],"with":[12,31,76],"a":[13,100],"relatively":[14],"strong":[15],"theory":[16,25],"of":[17,66,84,106],"bounded":[18],"arithmetic.":[19],"Namely,":[20],"we":[21,98],"show":[22],"that":[23,34,41],"[Formula:":[26,35,77,94],"see":[27,36,78,95],"text]":[28,79],"is":[29,42,57],"consistent":[30],"conjecture":[33],"text],":[37],"i.e.":[38],"some":[39],"problem":[40],"solvable":[43],"in":[44,87],"non-deterministic":[45,88],"exponential":[46],"time":[47,91],"does":[48],"not":[49],"have":[50],"polynomial":[51],"size":[52],"circuits.":[53],"suggest":[55],"this":[56],"best":[59],"currently":[60],"available":[61],"evidence":[62],"truth":[65],"conjecture.":[68],"The":[69],"same":[70,74],"techniques":[71],"establish":[72,99],"results":[75],"replaced":[80],"by":[81],"class":[83],"problems":[85],"decidable":[86],"barely":[89],"such":[92],"as":[93],"text].":[96],"Additionally,":[97],"magnification":[101],"on":[103],"hardness":[105],"proving":[107],"bounds.":[110]},"counts_by_year":[],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
