{"id":"https://openalex.org/W2036996815","doi":"https://doi.org/10.1007/s10015-008-0522-8","title":"A relationship between Turing machines and finite automata on four-dimensional input tapes","display_name":"A relationship between Turing machines and finite automata on four-dimensional input tapes","publication_year":2008,"publication_date":"2008-12-01","ids":{"openalex":"https://openalex.org/W2036996815","doi":"https://doi.org/10.1007/s10015-008-0522-8","mag":"2036996815"},"language":"en","primary_location":{"id":"doi:10.1007/s10015-008-0522-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10015-008-0522-8","pdf_url":null,"source":{"id":"https://openalex.org/S104439334","display_name":"Artificial Life and Robotics","issn_l":"1433-5298","issn":["1433-5298","1614-7456"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Artificial Life and Robotics","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/A5051278409","display_name":"Makoto Sakamoto","orcid":"https://orcid.org/0000-0003-0383-1304"},"institutions":[{"id":"https://openalex.org/I118574687","display_name":"University of Miyazaki","ror":"https://ror.org/0447kww10","country_code":"JP","type":"education","lineage":["https://openalex.org/I118574687"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Makoto Sakamoto","raw_affiliation_strings":["Department of Computer Science and Systems Engineering, University of Miyazaki, Miyazaki, 889-2192, Japan","University of miyazaki"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Systems Engineering, University of Miyazaki, Miyazaki, 889-2192, Japan","institution_ids":["https://openalex.org/I118574687"]},{"raw_affiliation_string":"University of miyazaki","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075888615","display_name":"Satoshi Okatani","orcid":null},"institutions":[{"id":"https://openalex.org/I118574687","display_name":"University of Miyazaki","ror":"https://ror.org/0447kww10","country_code":"JP","type":"education","lineage":["https://openalex.org/I118574687"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Satoshi Okatani","raw_affiliation_strings":["Department of Computer Science and Systems Engineering, University of Miyazaki, Miyazaki, 889-2192, Japan","University of miyazaki"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Systems Engineering, University of Miyazaki, Miyazaki, 889-2192, Japan","institution_ids":["https://openalex.org/I118574687"]},{"raw_affiliation_string":"University of miyazaki","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020581253","display_name":"Masatsugu Fukuda","orcid":null},"institutions":[{"id":"https://openalex.org/I118574687","display_name":"University of Miyazaki","ror":"https://ror.org/0447kww10","country_code":"JP","type":"education","lineage":["https://openalex.org/I118574687"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masatsugu Fukuda","raw_affiliation_strings":["Department of Computer Science and Systems Engineering, University of Miyazaki, Miyazaki, 889-2192, Japan","University of miyazaki"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Systems Engineering, University of Miyazaki, Miyazaki, 889-2192, Japan","institution_ids":["https://openalex.org/I118574687"]},{"raw_affiliation_string":"University of miyazaki","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100544774","display_name":"Takao Ito","orcid":null},"institutions":[{"id":"https://openalex.org/I4210094110","display_name":"National Institute of Technology, Ube College","ror":"https://ror.org/00pjwdc92","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210094110","https://openalex.org/I4210120810"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takao Ito","raw_affiliation_strings":["Department of Business Administration, Ube National College of Technology, Ube, Japan","Ube National College of Technology"],"affiliations":[{"raw_affiliation_string":"Department of Business Administration, Ube National College of Technology, Ube, Japan","institution_ids":["https://openalex.org/I4210094110"]},{"raw_affiliation_string":"Ube National College of Technology","institution_ids":["https://openalex.org/I4210094110"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5105783017","display_name":"Hiroshi Furutani","orcid":null},"institutions":[{"id":"https://openalex.org/I118574687","display_name":"University of Miyazaki","ror":"https://ror.org/0447kww10","country_code":"JP","type":"education","lineage":["https://openalex.org/I118574687"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hiroshi Furutani","raw_affiliation_strings":["Department of Computer Science and Systems Engineering, University of Miyazaki, Miyazaki, 889-2192, Japan","University of miyazaki"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Systems Engineering, University of Miyazaki, Miyazaki, 889-2192, Japan","institution_ids":["https://openalex.org/I118574687"]},{"raw_affiliation_string":"University of miyazaki","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112322188","display_name":"Michio Kono","orcid":null},"institutions":[{"id":"https://openalex.org/I118574687","display_name":"University of Miyazaki","ror":"https://ror.org/0447kww10","country_code":"JP","type":"education","lineage":["https://openalex.org/I118574687"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Michio Kono","raw_affiliation_strings":["Department of Computer Science and Systems Engineering, University of Miyazaki, Miyazaki, 889-2192, Japan","University of miyazaki"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Systems Engineering, University of Miyazaki, Miyazaki, 889-2192, Japan","institution_ids":["https://openalex.org/I118574687"]},{"raw_affiliation_string":"University of miyazaki","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5051278409"],"corresponding_institution_ids":["https://openalex.org/I118574687"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.4129,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.67073337,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"13","issue":"1","first_page":"58","last_page":"60"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9998000264167786,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9991999864578247,"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/computer-science","display_name":"Computer science","score":0.7598714828491211},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.6554553508758545},{"id":"https://openalex.org/keywords/turing-machine","display_name":"Turing machine","score":0.5862159132957458},{"id":"https://openalex.org/keywords/super-recursive-algorithm","display_name":"Super-recursive algorithm","score":0.5804725885391235},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5435190200805664},{"id":"https://openalex.org/keywords/finite-state-machine","display_name":"Finite-state machine","score":0.4852149784564972},{"id":"https://openalex.org/keywords/animation","display_name":"Animation","score":0.46342527866363525},{"id":"https://openalex.org/keywords/computer-animation","display_name":"Computer animation","score":0.4608021080493927},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.46001407504081726},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.44980186223983765},{"id":"https://openalex.org/keywords/mobile-automaton","display_name":"Mobile automaton","score":0.44344624876976013},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.43227964639663696},{"id":"https://openalex.org/keywords/automata-theory","display_name":"Automata theory","score":0.3907189667224884},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3083362579345703},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.28323063254356384},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20385250449180603},{"id":"https://openalex.org/keywords/universal-turing-machine","display_name":"Universal Turing machine","score":0.19725775718688965},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07601004838943481},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.059978216886520386}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7598714828491211},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.6554553508758545},{"id":"https://openalex.org/C29248071","wikidata":"https://www.wikidata.org/wiki/Q163310","display_name":"Turing machine","level":3,"score":0.5862159132957458},{"id":"https://openalex.org/C31402856","wikidata":"https://www.wikidata.org/wiki/Q5295939","display_name":"Super-recursive algorithm","level":5,"score":0.5804725885391235},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5435190200805664},{"id":"https://openalex.org/C167822520","wikidata":"https://www.wikidata.org/wiki/Q176452","display_name":"Finite-state machine","level":2,"score":0.4852149784564972},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.46342527866363525},{"id":"https://openalex.org/C69369342","wikidata":"https://www.wikidata.org/wiki/Q1401416","display_name":"Computer animation","level":3,"score":0.4608021080493927},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.46001407504081726},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.44980186223983765},{"id":"https://openalex.org/C50348692","wikidata":"https://www.wikidata.org/wiki/Q6887056","display_name":"Mobile automaton","level":4,"score":0.44344624876976013},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.43227964639663696},{"id":"https://openalex.org/C116248031","wikidata":"https://www.wikidata.org/wiki/Q214526","display_name":"Automata theory","level":3,"score":0.3907189667224884},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3083362579345703},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.28323063254356384},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20385250449180603},{"id":"https://openalex.org/C131671149","wikidata":"https://www.wikidata.org/wiki/Q2703890","display_name":"Universal Turing machine","level":4,"score":0.19725775718688965},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07601004838943481},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.059978216886520386}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10015-008-0522-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10015-008-0522-8","pdf_url":null,"source":{"id":"https://openalex.org/S104439334","display_name":"Artificial Life and Robotics","issn_l":"1433-5298","issn":["1433-5298","1614-7456"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Artificial Life and Robotics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W2036452250","https://openalex.org/W2036996815","https://openalex.org/W2153439182","https://openalex.org/W4210955721","https://openalex.org/W4241108585"],"related_works":["https://openalex.org/W2547364878","https://openalex.org/W2341138125","https://openalex.org/W2037124586","https://openalex.org/W1662868588","https://openalex.org/W1483817375","https://openalex.org/W2014472563","https://openalex.org/W4387606675","https://openalex.org/W4237311720","https://openalex.org/W4235845320","https://openalex.org/W4253567341"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
