{"id":"https://openalex.org/W1968327120","doi":"https://doi.org/10.1016/0020-0190(89)90052-5","title":"On the relative complexity of some languages in NC1","display_name":"On the relative complexity of some languages in NC1","publication_year":1989,"publication_date":"1989-09-01","ids":{"openalex":"https://openalex.org/W1968327120","doi":"https://doi.org/10.1016/0020-0190(89)90052-5","mag":"1968327120"},"language":"en","primary_location":{"id":"doi:10.1016/0020-0190(89)90052-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0020-0190(89)90052-5","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/A5082512839","display_name":"David A. Mix Barrington","orcid":"https://orcid.org/0000-0002-5958-2792"},"institutions":[{"id":"https://openalex.org/I24603500","display_name":"University of Massachusetts Amherst","ror":"https://ror.org/0072zz521","country_code":"US","type":"education","lineage":["https://openalex.org/I24603500"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"David A. Mix Barrington","raw_affiliation_strings":["COINS Department, University of Massachusetts, Amherst, MA 01003, U.S.A","University of Massachusetts: Amherst#TAB#"],"affiliations":[{"raw_affiliation_string":"COINS Department, University of Massachusetts, Amherst, MA 01003, U.S.A","institution_ids":[]},{"raw_affiliation_string":"University of Massachusetts: Amherst#TAB#","institution_ids":["https://openalex.org/I24603500"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083116750","display_name":"James C. Corbett","orcid":null},"institutions":[{"id":"https://openalex.org/I24603500","display_name":"University of Massachusetts Amherst","ror":"https://ror.org/0072zz521","country_code":"US","type":"education","lineage":["https://openalex.org/I24603500"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"James Corbett","raw_affiliation_strings":["COINS Department, University of Massachusetts, Amherst, MA 01003, U.S.A","University of Massachusetts: Amherst#TAB#"],"affiliations":[{"raw_affiliation_string":"COINS Department, University of Massachusetts, Amherst, MA 01003, U.S.A","institution_ids":[]},{"raw_affiliation_string":"University of Massachusetts: Amherst#TAB#","institution_ids":["https://openalex.org/I24603500"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5082512839"],"corresponding_institution_ids":["https://openalex.org/I24603500"],"apc_list":{"value":2200,"currency":"USD","value_usd":2200},"apc_paid":null,"fwci":0.9568,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.72260176,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"32","issue":"5","first_page":"251","last_page":"256"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","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/T11567","display_name":"semigroups and automata theory","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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9966999888420105,"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/T11130","display_name":"Coding theory and cryptography","score":0.9958999752998352,"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/computer-science","display_name":"Computer science","score":0.586980938911438},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5765645503997803},{"id":"https://openalex.org/keywords/complexity-class","display_name":"Complexity class","score":0.44185009598731995},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4271262288093567},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3992387652397156},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39508336782455444},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.3315611481666565},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.255245566368103},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08648645877838135}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.586980938911438},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5765645503997803},{"id":"https://openalex.org/C39637292","wikidata":"https://www.wikidata.org/wiki/Q908207","display_name":"Complexity class","level":3,"score":0.44185009598731995},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4271262288093567},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3992387652397156},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39508336782455444},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.3315611481666565},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.255245566368103},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08648645877838135}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/0020-0190(89)90052-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0020-0190(89)90052-5","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"},{"id":"pmh:oai:scholarworks.umass.edu:cs_faculty_pubs-1322","is_oa":false,"landing_page_url":"https://scholarworks.umass.edu/cs_faculty_pubs/323","pdf_url":null,"source":{"id":"https://openalex.org/S4306402240","display_name":"ScholarWorks@UMassAmherst (University of Massachusetts Amherst)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I24603500","host_organization_name":"University of Massachusetts Amherst","host_organization_lineage":["https://openalex.org/I24603500"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computer Science Department Faculty Publication Series","raw_type":"text"},{"id":"pmh:oai:scholarworks.umass.edu:20.500.14394/9990","is_oa":false,"landing_page_url":"https://hdl.handle.net/20.500.14394/9990","pdf_url":null,"source":{"id":"https://openalex.org/S4306402057","display_name":"Scholarworks (University of Massachusetts Amherst)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I24603500","host_organization_name":"University of Massachusetts Amherst","host_organization_lineage":["https://openalex.org/I24603500"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"published","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6000000238418579,"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1979328074","https://openalex.org/W1986804393","https://openalex.org/W2009994177","https://openalex.org/W2010465749","https://openalex.org/W2015950107","https://openalex.org/W2027501230","https://openalex.org/W2036656440","https://openalex.org/W2038247515","https://openalex.org/W2039393392","https://openalex.org/W2045583484","https://openalex.org/W2060270693","https://openalex.org/W2070678975","https://openalex.org/W2092275508","https://openalex.org/W2104952158","https://openalex.org/W2168745359","https://openalex.org/W2569165898","https://openalex.org/W2999004296","https://openalex.org/W4240781210","https://openalex.org/W6654417744","https://openalex.org/W6659819213","https://openalex.org/W6661958532","https://openalex.org/W6668336749","https://openalex.org/W6684936674"],"related_works":["https://openalex.org/W2990853482","https://openalex.org/W2327776271","https://openalex.org/W2374430960","https://openalex.org/W2041069649","https://openalex.org/W2047754121","https://openalex.org/W2461808546","https://openalex.org/W2045590835","https://openalex.org/W1589381382","https://openalex.org/W2953001340","https://openalex.org/W1504200807"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
