{"id":"https://openalex.org/W2078786764","doi":"https://doi.org/10.1134/s0361768813060054","title":"Bounded monotone recursion and multihead automata","display_name":"Bounded monotone recursion and multihead automata","publication_year":2013,"publication_date":"2013-11-01","ids":{"openalex":"https://openalex.org/W2078786764","doi":"https://doi.org/10.1134/s0361768813060054","mag":"2078786764"},"language":"en","primary_location":{"id":"doi:10.1134/s0361768813060054","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0361768813060054","pdf_url":null,"source":{"id":"https://openalex.org/S150218641","display_name":"Programming and Computer Software","issn_l":"0361-7688","issn":["0361-7688","1608-3261","3034-5847"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Programming and Computer Software","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/A5026708194","display_name":"\u0421. \u0421. \u041c\u0430\u0440\u0447\u0435\u043d\u043a\u043e\u0432","orcid":null},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"S. S. Marchenkov","raw_affiliation_strings":["Faculty of Computation Mathematics and Cybernetics, Moscow State University, Moscow, Russia","Moscow State  University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computation Mathematics and Cybernetics, Moscow State University, Moscow, Russia","institution_ids":["https://openalex.org/I19880235"]},{"raw_affiliation_string":"Moscow State  University","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5026708194"],"corresponding_institution_ids":["https://openalex.org/I19880235"],"apc_list":null,"apc_paid":null,"fwci":0.3561,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.66249082,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"39","issue":"6","first_page":"301","last_page":"308"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","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"}},"topics":[{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.996399998664856,"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/T11130","display_name":"Coding theory and cryptography","score":0.993399977684021,"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/bounded-function","display_name":"Bounded function","score":0.5889697074890137},{"id":"https://openalex.org/keywords/word","display_name":"Word (group theory)","score":0.5743996500968933},{"id":"https://openalex.org/keywords/recursion","display_name":"Recursion (computer science)","score":0.573017954826355},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5644291043281555},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.5643423199653625},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.5504148006439209},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5372436046600342},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45902782678604126},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.4237183630466461},{"id":"https://openalex.org/keywords/computable-function","display_name":"Computable function","score":0.4133490324020386},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36314892768859863},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3619173765182495},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1861560344696045},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.17817893624305725}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5889697074890137},{"id":"https://openalex.org/C90805587","wikidata":"https://www.wikidata.org/wiki/Q10944557","display_name":"Word (group theory)","level":2,"score":0.5743996500968933},{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.573017954826355},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5644291043281555},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.5643423199653625},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.5504148006439209},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5372436046600342},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45902782678604126},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.4237183630466461},{"id":"https://openalex.org/C54271186","wikidata":"https://www.wikidata.org/wiki/Q1148456","display_name":"Computable function","level":2,"score":0.4133490324020386},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36314892768859863},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3619173765182495},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1861560344696045},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.17817893624305725},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s0361768813060054","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0361768813060054","pdf_url":null,"source":{"id":"https://openalex.org/S150218641","display_name":"Programming and Computer Software","issn_l":"0361-7688","issn":["0361-7688","1608-3261","3034-5847"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Programming and Computer Software","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":7,"referenced_works":["https://openalex.org/W615345195","https://openalex.org/W1485212685","https://openalex.org/W1976501427","https://openalex.org/W2035004935","https://openalex.org/W2093721427","https://openalex.org/W2136868774","https://openalex.org/W2151430929"],"related_works":["https://openalex.org/W1976679120","https://openalex.org/W4281614748","https://openalex.org/W1562935500","https://openalex.org/W2514259333","https://openalex.org/W4388310202","https://openalex.org/W1600611831","https://openalex.org/W1792924550","https://openalex.org/W2310420552","https://openalex.org/W2359098868","https://openalex.org/W2091393031"],"abstract_inverted_index":{"On":[0],"the":[1,14,46,51,70],"basis":[2],"of":[3,10,23,54,66],"bounded":[4],"monotone":[5],"recursion,":[6],"a":[7,24,32],"class":[8,47,52,71],"BMR":[9,48,72],"word":[11,55,67],"functions":[12,56,68],"over":[13],"alphabet":[15],"{1,":[16],"2}":[17],"is":[18,27,30,43],"defined.":[19],"A":[20],"new":[21],"type":[22],"computing":[25],"device":[26],"introduced,":[28],"which":[29],"called":[31],"multihead":[33],"nonerasing":[34],"automaton":[35],"with":[36,50],"output,":[37],"or":[38],"an":[39],"MH":[40,59],"automaton.":[41],"It":[42],"proved":[44],"that":[45],"coincides":[49],"MHA":[53],"computable":[57],"by":[58],"automata":[60],"in":[61],"polynomial":[62],"time.":[63],"Numerous":[64],"examples":[65],"from":[69],"are":[73],"given.":[74]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-08-06T08:24:18.245995","created_date":"2025-10-10T00:00:00"}
