{"id":"https://openalex.org/W1965072617","doi":"https://doi.org/10.1142/s0218196799000084","title":"COMPUTATIONAL COMPLEXITY OF TERM-EQUIVALENCE","display_name":"COMPUTATIONAL COMPLEXITY OF TERM-EQUIVALENCE","publication_year":1999,"publication_date":"1999-02-01","ids":{"openalex":"https://openalex.org/W1965072617","doi":"https://doi.org/10.1142/s0218196799000084","mag":"1965072617"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196799000084","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196799000084","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"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":"International Journal of Algebra and Computation","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/A5077027361","display_name":"Clifford Bergman","orcid":"https://orcid.org/0000-0002-1221-8459"},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"CLIFFORD BERGMAN","raw_affiliation_strings":["Department of Mathematics, Iowa State University, Ames, Iowa\u00a050011, USA","Department of Mathematics, Iowa State University, Ames, Iowa 50011, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Iowa State University, Ames, Iowa\u00a050011, USA","institution_ids":["https://openalex.org/I173911158"]},{"raw_affiliation_string":"Department of Mathematics, Iowa State University, Ames, Iowa 50011, USA#TAB#","institution_ids":["https://openalex.org/I173911158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020524364","display_name":"David Juedes","orcid":"https://orcid.org/0000-0002-1656-5781"},"institutions":[{"id":"https://openalex.org/I4210106879","display_name":"Ohio University","ror":"https://ror.org/01jr3y717","country_code":"US","type":"education","lineage":["https://openalex.org/I4210106879"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"DAVID JUEDES","raw_affiliation_strings":["School of Electrical Engineering and Computer Science, Ohio University, Athens, Ohio\u00a045701, Greece"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computer Science, Ohio University, Athens, Ohio\u00a045701, Greece","institution_ids":["https://openalex.org/I4210106879"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044866430","display_name":"Giora Slutzki","orcid":null},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"GIORA SLUTZKI","raw_affiliation_strings":["Department of Computer Science, Iowa State University, Ames, Iowa\u00a050011, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Iowa State University, Ames, Iowa\u00a050011, USA","institution_ids":["https://openalex.org/I173911158"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5077027361"],"corresponding_institution_ids":["https://openalex.org/I173911158"],"apc_list":null,"apc_paid":null,"fwci":1.9536,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.84510501,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"09","issue":"01","first_page":"113","last_page":"128"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9994999766349792,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9994999766349792,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9991000294685364,"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":0.9980999827384949,"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/mathematics","display_name":"Mathematics","score":0.8772532939910889},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.8063168525695801},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.7137146592140198},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.523878276348114},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.46904975175857544},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43108314275741577},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.428399920463562},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3755125403404236},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.080311119556427}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8772532939910889},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.8063168525695801},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.7137146592140198},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.523878276348114},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.46904975175857544},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43108314275741577},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.428399920463562},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3755125403404236},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.080311119556427},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0218196799000084","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196799000084","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"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":"International Journal of Algebra and Computation","raw_type":"journal-article"},{"id":"pmh:oai:lib.dr.iastate.edu:math_pubs-1225","is_oa":false,"landing_page_url":"https://lib.dr.iastate.edu/cgi/viewcontent.cgi?article=1225&amp;amp;context=math_pubs","pdf_url":null,"source":{"id":"https://openalex.org/S4377196104","display_name":"Iowa State University Digital Repository (Iowa State University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I173911158","host_organization_name":"Iowa State University","host_organization_lineage":["https://openalex.org/I173911158"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics Publications","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.145.5956","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.145.5956","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://orion.math.iastate.edu/cbergman/manuscripts/exptime.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1488709943","https://openalex.org/W1563342424","https://openalex.org/W1980967952","https://openalex.org/W1982129592","https://openalex.org/W1994584977","https://openalex.org/W1999647826","https://openalex.org/W2002089154","https://openalex.org/W2039529128","https://openalex.org/W2069125955","https://openalex.org/W2125495920","https://openalex.org/W3037477934","https://openalex.org/W4241108585"],"related_works":["https://openalex.org/W2964187826","https://openalex.org/W2059034874","https://openalex.org/W1984301931","https://openalex.org/W2163243521","https://openalex.org/W2156697727","https://openalex.org/W2038106543","https://openalex.org/W2885964212","https://openalex.org/W1748582773","https://openalex.org/W2892231951","https://openalex.org/W4291315001"],"abstract_inverted_index":{"Two":[0],"algebraic":[1],"structures":[2],"with":[3],"the":[4,13,22],"same":[5,14],"universe":[6],"are":[7,34],"called":[8],"term-equivalent":[9,35],"if":[10],"they":[11],"have":[12],"clone":[15],"of":[16,24,30],"term":[17],"operations.":[18],"We":[19],"show":[20],"that":[21],"problem":[23],"determining":[25],"whether":[26],"two":[27],"finite":[28,31],"algebras":[29],"similarity":[32],"type":[33],"is":[36],"complete":[37],"for":[38],"deterministic":[39],"exponential":[40],"time.":[41]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
