{"id":"https://openalex.org/W2053772224","doi":"https://doi.org/10.1016/0304-3975(85)90165-3","title":"On the structure of one-tape nondeterministic turing machine time hierarchy","display_name":"On the structure of one-tape nondeterministic turing machine time hierarchy","publication_year":1985,"publication_date":"1985-01-01","ids":{"openalex":"https://openalex.org/W2053772224","doi":"https://doi.org/10.1016/0304-3975(85)90165-3","mag":"2053772224"},"language":"en","primary_location":{"id":"doi:10.1016/0304-3975(85)90165-3","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0304-3975(85)90165-3","pdf_url":"https://www.sciencedirect.com/science/article/pii/0304397585901653/pdf","source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"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":"Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/0304397585901653/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113757784","display_name":"Kojiro Kobayashi","orcid":null},"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":true,"raw_author_name":"Kojiro Kobayashi","raw_affiliation_strings":["Department of Information Science, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo 152, Japan","Kokyo Institute of Technology, Japan#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Science, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo 152, Japan","institution_ids":["https://openalex.org/I114531698"]},{"raw_affiliation_string":"Kokyo Institute of Technology, Japan#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5113757784"],"corresponding_institution_ids":["https://openalex.org/I114531698"],"apc_list":{"value":2600,"currency":"USD","value_usd":2600},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.20976384,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"40","issue":null,"first_page":"175","last_page":"193"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","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/T12002","display_name":"Computability, Logic, AI Algorithms","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/T12162","display_name":"Cellular Automata and Applications","score":0.9995999932289124,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9994999766349792,"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/time-hierarchy-theorem","display_name":"Time hierarchy theorem","score":0.8569706678390503},{"id":"https://openalex.org/keywords/nondeterministic-algorithm","display_name":"Nondeterministic algorithm","score":0.8517179489135742},{"id":"https://openalex.org/keywords/turing-machine","display_name":"Turing machine","score":0.7747411727905273},{"id":"https://openalex.org/keywords/nspace","display_name":"NSPACE","score":0.702264130115509},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6320637464523315},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.6316295862197876},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5805987119674683},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5320162773132324},{"id":"https://openalex.org/keywords/dtime","display_name":"DTIME","score":0.5018842220306396},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4966593384742737},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.48254603147506714},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.47907906770706177},{"id":"https://openalex.org/keywords/complexity-class","display_name":"Complexity class","score":0.4443347156047821},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4208087921142578},{"id":"https://openalex.org/keywords/universal-turing-machine","display_name":"Universal Turing machine","score":0.22300389409065247},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19631773233413696},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.057600945234298706}],"concepts":[{"id":"https://openalex.org/C48415503","wikidata":"https://www.wikidata.org/wiki/Q5251122","display_name":"Time hierarchy theorem","level":5,"score":0.8569706678390503},{"id":"https://openalex.org/C176181172","wikidata":"https://www.wikidata.org/wiki/Q3490301","display_name":"Nondeterministic algorithm","level":2,"score":0.8517179489135742},{"id":"https://openalex.org/C29248071","wikidata":"https://www.wikidata.org/wiki/Q163310","display_name":"Turing machine","level":3,"score":0.7747411727905273},{"id":"https://openalex.org/C201958364","wikidata":"https://www.wikidata.org/wiki/Q1756295","display_name":"NSPACE","level":5,"score":0.702264130115509},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6320637464523315},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.6316295862197876},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5805987119674683},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5320162773132324},{"id":"https://openalex.org/C15547884","wikidata":"https://www.wikidata.org/wiki/Q1155831","display_name":"DTIME","level":5,"score":0.5018842220306396},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4966593384742737},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.48254603147506714},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.47907906770706177},{"id":"https://openalex.org/C39637292","wikidata":"https://www.wikidata.org/wiki/Q908207","display_name":"Complexity class","level":3,"score":0.4443347156047821},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4208087921142578},{"id":"https://openalex.org/C131671149","wikidata":"https://www.wikidata.org/wiki/Q2703890","display_name":"Universal Turing machine","level":4,"score":0.22300389409065247},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19631773233413696},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.057600945234298706},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0304-3975(85)90165-3","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0304-3975(85)90165-3","pdf_url":"https://www.sciencedirect.com/science/article/pii/0304397585901653/pdf","source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"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":"Theoretical Computer Science","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/0304-3975(85)90165-3","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0304-3975(85)90165-3","pdf_url":"https://www.sciencedirect.com/science/article/pii/0304397585901653/pdf","source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"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":"Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2053772224.pdf","grobid_xml":"https://content.openalex.org/works/W2053772224.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W11770605","https://openalex.org/W42196011","https://openalex.org/W1499293192","https://openalex.org/W1817451992","https://openalex.org/W1963576748","https://openalex.org/W1975020978","https://openalex.org/W1978015099","https://openalex.org/W1979381272","https://openalex.org/W1980572240","https://openalex.org/W1981106003","https://openalex.org/W2005097301","https://openalex.org/W2005272581","https://openalex.org/W2024671403","https://openalex.org/W2027796826","https://openalex.org/W2029121016","https://openalex.org/W2029872977","https://openalex.org/W2034943218","https://openalex.org/W2041195445","https://openalex.org/W2080886835","https://openalex.org/W2082612358","https://openalex.org/W2085533822","https://openalex.org/W2090627896","https://openalex.org/W2125495920","https://openalex.org/W2161052904","https://openalex.org/W2530006810","https://openalex.org/W2592184324","https://openalex.org/W2905135108","https://openalex.org/W2913527980","https://openalex.org/W6601673031","https://openalex.org/W6629695157","https://openalex.org/W6646607819","https://openalex.org/W6657789170","https://openalex.org/W6670927927","https://openalex.org/W6683923122"],"related_works":["https://openalex.org/W2122747219","https://openalex.org/W1486286946","https://openalex.org/W2184601028","https://openalex.org/W4387774848","https://openalex.org/W4206232732","https://openalex.org/W2048353152","https://openalex.org/W4388215614","https://openalex.org/W2189193453","https://openalex.org/W2062934582","https://openalex.org/W2089690927"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2025-10-10T00:00:00"}