{"id":"https://openalex.org/W1524482766","doi":"https://doi.org/10.1007/978-3-540-30550-7_8","title":"The Dot-Depth and the Polynomial Hierarchy Correspond on the Delta Levels","display_name":"The Dot-Depth and the Polynomial Hierarchy Correspond on the Delta Levels","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W1524482766","doi":"https://doi.org/10.1007/978-3-540-30550-7_8","mag":"1524482766"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-30550-7_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-30550-7_8","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/A5110628039","display_name":"Bernd Borchert","orcid":null},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bernd Borchert","raw_affiliation_strings":["Universit\u00e4t T\u00fcbingen, Germany","Universit\u00e4t T\u00fcbingen , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e4t T\u00fcbingen, Germany","institution_ids":["https://openalex.org/I8087733"]},{"raw_affiliation_string":"Universit\u00e4t T\u00fcbingen , Germany","institution_ids":["https://openalex.org/I8087733"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111655675","display_name":"Klaus-J\u00f6rn Lange","orcid":null},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Klaus-J\u00f6rn Lange","raw_affiliation_strings":["Universit\u00e4t T\u00fcbingen, Germany","Universit\u00e4t T\u00fcbingen , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e4t T\u00fcbingen, Germany","institution_ids":["https://openalex.org/I8087733"]},{"raw_affiliation_string":"Universit\u00e4t T\u00fcbingen , Germany","institution_ids":["https://openalex.org/I8087733"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085103227","display_name":"Frank Stephan","orcid":"https://orcid.org/0000-0001-9152-1706"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Frank Stephan","raw_affiliation_strings":["National University of Singapore,","National University of Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National University of Singapore,","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"National University of Singapore","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044226857","display_name":"Pascal Tesson","orcid":null},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Pascal Tesson","raw_affiliation_strings":["Universit\u00e4t T\u00fcbingen, Germany","Universit\u00e4t T\u00fcbingen , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e4t T\u00fcbingen, Germany","institution_ids":["https://openalex.org/I8087733"]},{"raw_affiliation_string":"Universit\u00e4t T\u00fcbingen , Germany","institution_ids":["https://openalex.org/I8087733"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000703561","display_name":"Denis Th\u00e9rien","orcid":"https://orcid.org/0000-0002-7545-909X"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Denis Th\u00e9rien","raw_affiliation_strings":["McGill University, Montr\u00e9al, Canada","McGill University; Montreal; Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"McGill University, Montr\u00e9al, Canada","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"McGill University; Montreal; Canada","institution_ids":["https://openalex.org/I5023651"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.9,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.69182531,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"89","last_page":"101"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9986000061035156,"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":0.9986000061035156,"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":0.9958999752998352,"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"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9884999990463257,"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/hierarchy","display_name":"Hierarchy","score":0.7133750915527344},{"id":"https://openalex.org/keywords/delta","display_name":"Delta","score":0.7070654630661011},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.556511640548706},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.477530837059021},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35120218992233276},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.322465181350708},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1307404637336731},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.06106841564178467},{"id":"https://openalex.org/keywords/astronomy","display_name":"Astronomy","score":0.04951202869415283}],"concepts":[{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.7133750915527344},{"id":"https://openalex.org/C5072461","wikidata":"https://www.wikidata.org/wiki/Q49506","display_name":"Delta","level":2,"score":0.7070654630661011},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.556511640548706},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.477530837059021},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35120218992233276},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.322465181350708},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1307404637336731},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.06106841564178467},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.04951202869415283},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-30550-7_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-30550-7_8","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W200063938","https://openalex.org/W1577759395","https://openalex.org/W1816633894","https://openalex.org/W1964316889","https://openalex.org/W1976025900","https://openalex.org/W1983193342","https://openalex.org/W1993138363","https://openalex.org/W2001338954","https://openalex.org/W2007464118","https://openalex.org/W2010465749","https://openalex.org/W2033286469","https://openalex.org/W2042177219","https://openalex.org/W2045924252","https://openalex.org/W2053094807","https://openalex.org/W2058277150","https://openalex.org/W2061378086","https://openalex.org/W2061489447","https://openalex.org/W2079162006","https://openalex.org/W2085802902","https://openalex.org/W2151306421","https://openalex.org/W2318841766","https://openalex.org/W2496506339","https://openalex.org/W2904842705","https://openalex.org/W2913344232","https://openalex.org/W3022515221"],"related_works":["https://openalex.org/W4221046490","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4297616267","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2502651140","https://openalex.org/W2142036596"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}
