{"id":"https://openalex.org/W1543830111","doi":"https://doi.org/10.1007/bfb0030312","title":"Hierarchy of reversal and zerotesting bounded multicounter machines","display_name":"Hierarchy of reversal and zerotesting bounded multicounter machines","publication_year":2006,"publication_date":"2006-01-25","ids":{"openalex":"https://openalex.org/W1543830111","doi":"https://doi.org/10.1007/bfb0030312","mag":"1543830111"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0030312","pdf_url":null,"source":{"id":"https://openalex.org/S4306420488","display_name":"Mathematical Foundations of Computer Science","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"book-chapter","type_crossref":"book-chapter","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/A5088678782","display_name":"Juraj Hromkovi\u010d","orcid":"https://orcid.org/0000-0001-9754-7042"},"institutions":[{"id":"https://openalex.org/I74788687","display_name":"Comenius University Bratislava","ror":"https://ror.org/0587ef340","country_code":"SK","type":"funder","lineage":["https://openalex.org/I74788687"]}],"countries":["SK"],"is_corresponding":true,"raw_author_name":"J. Hromkovi\u010d","raw_affiliation_strings":["Comenius University"],"affiliations":[{"raw_affiliation_string":"Comenius University","institution_ids":["https://openalex.org/I74788687"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5088678782"],"corresponding_institution_ids":["https://openalex.org/I74788687"],"apc_list":null,"apc_paid":null,"fwci":0.386,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":10,"citation_normalized_percentile":{"value":0.599086,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":82,"max":83},"biblio":{"volume":null,"issue":null,"first_page":"312","last_page":"321"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","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/T11567","display_name":"semigroups and automata theory","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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9986,"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":0.9984,"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":[],"concepts":[{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.88143325},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.8044617},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4805025},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47718704},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4666602},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.46162134},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38153344},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.36782432},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.050928146},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.03864646},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0030312","pdf_url":null,"source":{"id":"https://openalex.org/S4306420488","display_name":"Mathematical Foundations of Computer Science","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":9,"referenced_works":["https://openalex.org/W109966224","https://openalex.org/W1577059114","https://openalex.org/W1581271773","https://openalex.org/W1968497788","https://openalex.org/W1968529600","https://openalex.org/W1992797704","https://openalex.org/W1996878052","https://openalex.org/W2023999667","https://openalex.org/W2075742699"],"related_works":["https://openalex.org/W962203960","https://openalex.org/W4391375266","https://openalex.org/W4389565704","https://openalex.org/W4211007821","https://openalex.org/W2802395037","https://openalex.org/W2509431957","https://openalex.org/W2365264209","https://openalex.org/W2026999166","https://openalex.org/W1996802783","https://openalex.org/W1976216854"],"abstract_inverted_index":{"We":[0,15],"consider":[1],"one-way":[2,12],"partially":[3],"blind":[4],"multicounter":[5,13],"machines":[6],"introduced":[7],"by":[8,43],"Greibach":[9],"[2],":[10],"and":[11,19,53,91,96],"machines.":[14],"study":[16],"the":[17,28,32,35,56,65,83,93,97],"reversal":[18,94],"zerotesting":[20],"bounded":[21,42],"versions":[22],"of":[23,31,37,64,67,75,80],"these":[24],"machines,":[25],"where":[26],"for":[27,60],"input":[29],"words":[30],"length":[33],"n":[34],"number":[36,66,89],"reversals":[38,68],"or":[39],"zerotests":[40],"is":[41,48],"a":[44,61],"function":[45],"f(n).":[46],"It":[47],"established":[49],"that":[50],"time,":[51],"nondeterminism,":[52],"counters,":[54],"as":[55],"resources,":[57],"cannot":[58],"compensate":[59],"substantial":[62],"decrease":[63],"allowed.":[69],"Several":[70],"hierarchy":[71,84],"results":[72,81,85],"are":[73],"consequences":[74],"this":[76],"fact.":[77],"Another":[78],"group":[79],"involves":[82],"according":[86],"to":[87],"zerotest":[88,98],"bound,":[90],"relates":[92],"complexity":[95],"complexity.":[99]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1543830111","counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-03-16T11:47:42.953018","created_date":"2016-06-24"}