{"id":"https://openalex.org/W2054560760","doi":"https://doi.org/10.1017/s0960129510000344","title":"A note on accelerated Turing machines","display_name":"A note on accelerated Turing machines","publication_year":2010,"publication_date":"2010-11-08","ids":{"openalex":"https://openalex.org/W2054560760","doi":"https://doi.org/10.1017/s0960129510000344","mag":"2054560760"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129510000344","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129510000344","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","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/A5079186295","display_name":"Cristian S. Calude","orcid":"https://orcid.org/0000-0002-8711-6799"},"institutions":[{"id":"https://openalex.org/I154130895","display_name":"University of Auckland","ror":"https://ror.org/03b94tp07","country_code":"NZ","type":"education","lineage":["https://openalex.org/I154130895"]}],"countries":["NZ"],"is_corresponding":true,"raw_author_name":"CRISTIAN S. CALUDE","raw_affiliation_strings":["Department of Computer Science, The University of Auckland, Private Bag 92019, Auckland, New Zealand Email:","Department of computer science, the university of auckland, private bag 92019, auckland, new zealand email: [email\u00a0protected]#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, The University of Auckland, Private Bag 92019, Auckland, New Zealand Email:","institution_ids":["https://openalex.org/I154130895"]},{"raw_affiliation_string":"Department of computer science, the university of auckland, private bag 92019, auckland, new zealand email: [email\u00a0protected]#TAB#","institution_ids":["https://openalex.org/I154130895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006703246","display_name":"Ludwig Staiger","orcid":"https://orcid.org/0000-0003-3810-9303"},"institutions":[{"id":"https://openalex.org/I68956291","display_name":"Martin Luther University Halle-Wittenberg","ror":"https://ror.org/05gqaka33","country_code":"DE","type":"education","lineage":["https://openalex.org/I68956291"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"LUDWIG STAIGER","raw_affiliation_strings":["Martin-Luther-Universit\u00e4t Halle-Wittenberg, Institut f\u00fcr Informatik, D - 06099 Halle, Germany Email:","Martin-luther-universit\u00e4t halle-wittenberg, institut f\u00fcr informatik, d-06099 halle, germany email: [email\u00a0protected]#TAB#"],"affiliations":[{"raw_affiliation_string":"Martin-Luther-Universit\u00e4t Halle-Wittenberg, Institut f\u00fcr Informatik, D - 06099 Halle, Germany Email:","institution_ids":["https://openalex.org/I68956291"]},{"raw_affiliation_string":"Martin-luther-universit\u00e4t halle-wittenberg, institut f\u00fcr informatik, d-06099 halle, germany email: [email\u00a0protected]#TAB#","institution_ids":["https://openalex.org/I68956291"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079186295"],"corresponding_institution_ids":["https://openalex.org/I154130895"],"apc_list":null,"apc_paid":null,"fwci":3.4164,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.92242877,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"20","issue":"6","first_page":"1011","last_page":"1017"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":1.0,"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":1.0,"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":0.9979000091552734,"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":0.9959999918937683,"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/super-recursive-algorithm","display_name":"Super-recursive algorithm","score":0.8335570693016052},{"id":"https://openalex.org/keywords/description-number","display_name":"Description number","score":0.8326945304870605},{"id":"https://openalex.org/keywords/turing-machine-examples","display_name":"Turing machine examples","score":0.8326229453086853},{"id":"https://openalex.org/keywords/turing-machine","display_name":"Turing machine","score":0.8282939195632935},{"id":"https://openalex.org/keywords/universal-turing-machine","display_name":"Universal Turing machine","score":0.774834394454956},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7346698045730591},{"id":"https://openalex.org/keywords/nspace","display_name":"NSPACE","score":0.6747938394546509},{"id":"https://openalex.org/keywords/non-deterministic-turing-machine","display_name":"Non-deterministic Turing machine","score":0.6031020879745483},{"id":"https://openalex.org/keywords/dtime","display_name":"DTIME","score":0.5078325867652893},{"id":"https://openalex.org/keywords/turing","display_name":"Turing","score":0.4966347813606262},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.47940537333488464},{"id":"https://openalex.org/keywords/probabilistic-turing-machine","display_name":"Probabilistic Turing machine","score":0.4666785001754761},{"id":"https://openalex.org/keywords/time-hierarchy-theorem","display_name":"Time hierarchy theorem","score":0.4230082631111145},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2885301411151886},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.24573242664337158},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.07899224758148193}],"concepts":[{"id":"https://openalex.org/C31402856","wikidata":"https://www.wikidata.org/wiki/Q5295939","display_name":"Super-recursive algorithm","level":5,"score":0.8335570693016052},{"id":"https://openalex.org/C179061269","wikidata":"https://www.wikidata.org/wiki/Q5263786","display_name":"Description number","level":5,"score":0.8326945304870605},{"id":"https://openalex.org/C21176728","wikidata":"https://www.wikidata.org/wiki/Q7854963","display_name":"Turing machine examples","level":5,"score":0.8326229453086853},{"id":"https://openalex.org/C29248071","wikidata":"https://www.wikidata.org/wiki/Q163310","display_name":"Turing machine","level":3,"score":0.8282939195632935},{"id":"https://openalex.org/C131671149","wikidata":"https://www.wikidata.org/wiki/Q2703890","display_name":"Universal Turing machine","level":4,"score":0.774834394454956},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7346698045730591},{"id":"https://openalex.org/C201958364","wikidata":"https://www.wikidata.org/wiki/Q1756295","display_name":"NSPACE","level":5,"score":0.6747938394546509},{"id":"https://openalex.org/C15190523","wikidata":"https://www.wikidata.org/wiki/Q1190223","display_name":"Non-deterministic Turing machine","level":5,"score":0.6031020879745483},{"id":"https://openalex.org/C15547884","wikidata":"https://www.wikidata.org/wiki/Q1155831","display_name":"DTIME","level":5,"score":0.5078325867652893},{"id":"https://openalex.org/C9870796","wikidata":"https://www.wikidata.org/wiki/Q490481","display_name":"Turing","level":2,"score":0.4966347813606262},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.47940537333488464},{"id":"https://openalex.org/C144271403","wikidata":"https://www.wikidata.org/wiki/Q1191836","display_name":"Probabilistic Turing machine","level":5,"score":0.4666785001754761},{"id":"https://openalex.org/C48415503","wikidata":"https://www.wikidata.org/wiki/Q5251122","display_name":"Time hierarchy theorem","level":5,"score":0.4230082631111145},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2885301411151886},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.24573242664337158},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.07899224758148193}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1017/s0960129510000344","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129510000344","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.897.2808","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.897.2808","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.cs.auckland.ac.nz/research/groups/CDMTCS/researchreports/350cris.pdf","raw_type":"text"},{"id":"pmh:oai:researchspace.auckland.ac.nz:2292/3857","is_oa":false,"landing_page_url":"https://hdl.handle.net/2292/3857","pdf_url":null,"source":{"id":"https://openalex.org/S7407055463","display_name":"ResearchSpace (University of Auckland)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I154130895","host_organization_name":"University of Auckland","host_organization_lineage":["https://openalex.org/I154130895"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.auckland.ac.nz/staff-cgi-bin/mjd/secondcgi.pl?serial","raw_type":"Technical Report"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W7326442","https://openalex.org/W117768600","https://openalex.org/W583408862","https://openalex.org/W1123910569","https://openalex.org/W1502264528","https://openalex.org/W1531426191","https://openalex.org/W1540715591","https://openalex.org/W1556623397","https://openalex.org/W1584587517","https://openalex.org/W1587330583","https://openalex.org/W1593993808","https://openalex.org/W1852397043","https://openalex.org/W1874721034","https://openalex.org/W1969470083","https://openalex.org/W1975387716","https://openalex.org/W1975790950","https://openalex.org/W1976879884","https://openalex.org/W1994584977","https://openalex.org/W2019067745","https://openalex.org/W2043649955","https://openalex.org/W2064371665","https://openalex.org/W2070427402","https://openalex.org/W2070641420","https://openalex.org/W2083774161","https://openalex.org/W2117832390","https://openalex.org/W2379611011","https://openalex.org/W2489272104","https://openalex.org/W2530006810","https://openalex.org/W2592879695","https://openalex.org/W2905135108","https://openalex.org/W2913155813","https://openalex.org/W3026550814","https://openalex.org/W3122600740","https://openalex.org/W3127627670","https://openalex.org/W3167388701","https://openalex.org/W4210783718","https://openalex.org/W4237363759","https://openalex.org/W4252769497","https://openalex.org/W6631923574"],"related_works":["https://openalex.org/W1662868588","https://openalex.org/W2547364878","https://openalex.org/W2348596562","https://openalex.org/W4313546668","https://openalex.org/W2070488416","https://openalex.org/W2059442002","https://openalex.org/W3211509423","https://openalex.org/W3205703342","https://openalex.org/W1526571572","https://openalex.org/W3207919203"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"prove":[4],"that":[5,9],"any":[6],"Turing":[7,44,54],"machine":[8],"uses":[10],"only":[11],"a":[12],"finite":[13],"computational":[14],"space":[15],"for":[16],"every":[17],"input":[18],"cannot":[19],"solve":[20],"an":[21,42],"uncomputable":[22],"problem":[23],"even":[24],"when":[25],"it":[26],"runs":[27],"in":[28],"accelerated":[29,43,53],"mode.":[30],"We":[31],"also":[32],"propose":[33],"two":[34],"ways":[35],"to":[36],"define":[37],"the":[38,47,57,63],"language":[39],"accepted":[40,51],"by":[41,52],"machine.":[45],"Accordingly,":[46],"classes":[48],"of":[49,62],"languages":[50],"machines":[55],"are":[56],"closure":[58],"under":[59],"Boolean":[60],"operations":[61],"sets":[64],"\u03a3":[65,68],"1":[66],"and":[67],"2":[69],".":[70]},"counts_by_year":[{"year":2022,"cited_by_count":13},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}