{"id":"https://openalex.org/W2095458980","doi":"https://doi.org/10.1016/0020-0190(94)00036-0","title":"Bounded-width polynomial-size Boolean formulas compute exactly those functions in AC0","display_name":"Bounded-width polynomial-size Boolean formulas compute exactly those functions in AC0","publication_year":1994,"publication_date":"1994-05-01","ids":{"openalex":"https://openalex.org/W2095458980","doi":"https://doi.org/10.1016/0020-0190(94)00036-0","mag":"2095458980"},"language":"en","primary_location":{"id":"doi:10.1016/0020-0190(94)00036-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0020-0190(94)00036-0","pdf_url":null,"source":{"id":"https://openalex.org/S147953040","display_name":"Information Processing Letters","issn_l":"0020-0190","issn":["0020-0190","1872-6119"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Processing Letters","raw_type":"journal-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/A5108392816","display_name":"Sorin Istrail","orcid":null},"institutions":[{"id":"https://openalex.org/I192454743","display_name":"Sandia National Laboratories California","ror":"https://ror.org/058m7ey48","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1330989302","https://openalex.org/I192454743","https://openalex.org/I198811213","https://openalex.org/I198811213","https://openalex.org/I4210104735"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sorin Istrail","raw_affiliation_strings":["Sandia National Laboratories, Dept. 1423, Algorithms and Discrete Mathematics, Albuquerque, NM 87185-5800, USA"],"affiliations":[{"raw_affiliation_string":"Sandia National Laboratories, Dept. 1423, Algorithms and Discrete Mathematics, Albuquerque, NM 87185-5800, USA","institution_ids":["https://openalex.org/I192454743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008012128","display_name":"Dejan \u017divkovi\u0107","orcid":"https://orcid.org/0000-0003-2400-6020"},"institutions":[{"id":"https://openalex.org/I159289790","display_name":"Savannah State University","ror":"https://ror.org/00mns7k70","country_code":"US","type":"education","lineage":["https://openalex.org/I159289790"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Dejan Zivkovic","raw_affiliation_strings":["Department of Mathematics and Computer Science, Savannah State College, Savannah, GA 31404, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Savannah State College, Savannah, GA 31404, USA","institution_ids":["https://openalex.org/I159289790"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008012128"],"corresponding_institution_ids":["https://openalex.org/I159289790"],"apc_list":{"value":2200,"currency":"USD","value_usd":2200},"apc_paid":null,"fwci":0.5647,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.76397539,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"50","issue":"4","first_page":"211","last_page":"216"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9976999759674072,"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"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9976999759674072,"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/T11567","display_name":"semigroups and automata theory","score":0.9807000160217285,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9650999903678894,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7221804261207581},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7150434851646423},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.6761664748191833},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5806588530540466},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5569291114807129},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5529032349586487},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5486673712730408},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4923049211502075},{"id":"https://openalex.org/keywords/boolean-expression","display_name":"Boolean expression","score":0.48570141196250916},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.436906635761261},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21690809726715088},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14335086941719055},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.05738064646720886}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7221804261207581},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7150434851646423},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.6761664748191833},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5806588530540466},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5569291114807129},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5529032349586487},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5486673712730408},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4923049211502075},{"id":"https://openalex.org/C158465420","wikidata":"https://www.wikidata.org/wiki/Q1979515","display_name":"Boolean expression","level":3,"score":0.48570141196250916},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.436906635761261},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21690809726715088},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14335086941719055},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05738064646720886},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0020-0190(94)00036-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0020-0190(94)00036-0","pdf_url":null,"source":{"id":"https://openalex.org/S147953040","display_name":"Information Processing Letters","issn_l":"0020-0190","issn":["0020-0190","1872-6119"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Processing Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1517585663","https://openalex.org/W1575886793","https://openalex.org/W2036656440","https://openalex.org/W2060270693","https://openalex.org/W2104952158","https://openalex.org/W2398918824","https://openalex.org/W4206794571","https://openalex.org/W4240781210","https://openalex.org/W6634287997","https://openalex.org/W6822557432"],"related_works":["https://openalex.org/W2109998394","https://openalex.org/W2058288504","https://openalex.org/W4252281389","https://openalex.org/W2107037376","https://openalex.org/W1976822807","https://openalex.org/W2133491672","https://openalex.org/W1996276855","https://openalex.org/W2050201153","https://openalex.org/W2187008505","https://openalex.org/W2062972911"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}