{"id":"https://openalex.org/W1570657399","doi":"https://doi.org/10.1007/3-540-48686-0_21","title":"Super-Polynomial Versus Half-Exponential Circuit Size in the Exponential Hierarchy","display_name":"Super-Polynomial Versus Half-Exponential Circuit Size in the Exponential Hierarchy","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W1570657399","doi":"https://doi.org/10.1007/3-540-48686-0_21","mag":"1570657399"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-48686-0_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-48686-0_21","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","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/A5006968747","display_name":"Peter Bro Miltersen","orcid":null},"institutions":[{"id":"https://openalex.org/I204337017","display_name":"Aarhus University","ror":"https://ror.org/01aj84f44","country_code":"DK","type":"education","lineage":["https://openalex.org/I204337017"]},{"id":"https://openalex.org/I2802335433","display_name":"Aarhus University Hospital","ror":"https://ror.org/040r8fr65","country_code":"DK","type":"healthcare","lineage":["https://openalex.org/I2802335433"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Peter Bro Miltersen","raw_affiliation_strings":["BRICS, Department of Computer Science, University of Aarhus, Aarhhus","BRICS, Dept. of Computer Science, University of Aarhus#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"BRICS, Department of Computer Science, University of Aarhus, Aarhhus","institution_ids":["https://openalex.org/I204337017","https://openalex.org/I2802335433"]},{"raw_affiliation_string":"BRICS, Dept. of Computer Science, University of Aarhus#TAB#","institution_ids":["https://openalex.org/I204337017"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031088478","display_name":"N. V. Vinodchandran","orcid":"https://orcid.org/0000-0001-7959-4662"},"institutions":[{"id":"https://openalex.org/I204337017","display_name":"Aarhus University","ror":"https://ror.org/01aj84f44","country_code":"DK","type":"education","lineage":["https://openalex.org/I204337017"]},{"id":"https://openalex.org/I2802335433","display_name":"Aarhus University Hospital","ror":"https://ror.org/040r8fr65","country_code":"DK","type":"healthcare","lineage":["https://openalex.org/I2802335433"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"N. V. Vinodchandran","raw_affiliation_strings":["BRICS, Department of Computer Science, University of Aarhus, Aarhhus","BRICS, Dept. of Computer Science, University of Aarhus#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"BRICS, Department of Computer Science, University of Aarhus, Aarhhus","institution_ids":["https://openalex.org/I204337017","https://openalex.org/I2802335433"]},{"raw_affiliation_string":"BRICS, Dept. of Computer Science, University of Aarhus#TAB#","institution_ids":["https://openalex.org/I204337017"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088236477","display_name":"Osamu Watanabe","orcid":"https://orcid.org/0000-0003-0284-7566"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Osamu Watanabe","raw_affiliation_strings":["Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Tokyo","Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Ookayama, Tokyo#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Tokyo","institution_ids":["https://openalex.org/I114531698"]},{"raw_affiliation_string":"Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Ookayama, Tokyo#TAB#","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.62,"has_fulltext":false,"cited_by_count":53,"citation_normalized_percentile":{"value":0.93512539,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"210","last_page":"220"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9993000030517578,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9993000030517578,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9990000128746033,"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/T11567","display_name":"semigroups and automata theory","score":0.9990000128746033,"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/exponential-function","display_name":"Exponential function","score":0.7480623126029968},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.630101203918457},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.5955373644828796},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5463966131210327},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39626550674438477},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3806215822696686},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30633169412612915},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12507364153862},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.056600600481033325}],"concepts":[{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.7480623126029968},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.630101203918457},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.5955373644828796},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5463966131210327},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39626550674438477},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3806215822696686},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30633169412612915},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12507364153862},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.056600600481033325},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/3-540-48686-0_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-48686-0_21","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.29.8533","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.29.8533","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.is.titech.ac.jp/pub/tech-reports/C/C-130.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.30.9521","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.30.9521","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.brics.dk/~vinod/papers/subexp.ps","raw_type":"text"},{"id":"pmh:oai:pure.atira.dk:publications/ab9ef6f0-b023-11df-8c1a-000ea68e967b","is_oa":false,"landing_page_url":"https://pure.au.dk/portal/en/publications/ab9ef6f0-b023-11df-8c1a-000ea68e967b","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1562313898","https://openalex.org/W1570657399","https://openalex.org/W1573868303","https://openalex.org/W1970089350","https://openalex.org/W2008610945","https://openalex.org/W2053086236","https://openalex.org/W2063225133","https://openalex.org/W2069652878","https://openalex.org/W2092429268","https://openalex.org/W2097206148","https://openalex.org/W2117491354","https://openalex.org/W2296506534","https://openalex.org/W2402054513","https://openalex.org/W2998808137","https://openalex.org/W4213189504","https://openalex.org/W4243643814","https://openalex.org/W4256317935","https://openalex.org/W6788350762"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2365264209","https://openalex.org/W2509431957","https://openalex.org/W2026999166","https://openalex.org/W1599954583","https://openalex.org/W2369988800","https://openalex.org/W4287905284","https://openalex.org/W2808031154","https://openalex.org/W91521151"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
