{"id":"https://openalex.org/W2586499659","doi":"https://doi.org/10.3390/a10010024","title":"Problems on Finite Automata and the Exponential Time Hypothesis","display_name":"Problems on Finite Automata and the Exponential Time Hypothesis","publication_year":2017,"publication_date":"2017-02-05","ids":{"openalex":"https://openalex.org/W2586499659","doi":"https://doi.org/10.3390/a10010024","mag":"2586499659"},"language":"en","primary_location":{"id":"doi:10.3390/a10010024","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a10010024","pdf_url":"https://www.mdpi.com/1999-4893/10/1/24/pdf?version=1486273302","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/10/1/24/pdf?version=1486273302","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015688812","display_name":"Henning Fernau","orcid":"https://orcid.org/0000-0002-4444-3220"},"institutions":[{"id":"https://openalex.org/I89864525","display_name":"Universit\u00e4t Trier","ror":"https://ror.org/02778hg05","country_code":"DE","type":"education","lineage":["https://openalex.org/I89864525"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Henning Fernau","raw_affiliation_strings":["FB 4, Informatikwissenschaften, University of Trier, Universit\u00e4tsring, 54286 Trier, Germany"],"affiliations":[{"raw_affiliation_string":"FB 4, Informatikwissenschaften, University of Trier, Universit\u00e4tsring, 54286 Trier, Germany","institution_ids":["https://openalex.org/I89864525"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011977613","display_name":"Andreas Krebs","orcid":null},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Andreas Krebs","raw_affiliation_strings":["Wilhelm-Schickard-Institut f\u00fcr Informatik, Universit\u00e4t T\u00fcbingen, Sand 13, 72076 T\u00fcbingen, Germany"],"affiliations":[{"raw_affiliation_string":"Wilhelm-Schickard-Institut f\u00fcr Informatik, Universit\u00e4t T\u00fcbingen, Sand 13, 72076 T\u00fcbingen, Germany","institution_ids":["https://openalex.org/I8087733"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5015688812"],"corresponding_institution_ids":["https://openalex.org/I89864525"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.8915,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.86744287,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"10","issue":"1","first_page":"24","last_page":"24"},"is_retracted":false,"is_paratext":false,"is_xpac":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/T12029","display_name":"DNA and Biological Computing","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9983999729156494,"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/nondeterministic-finite-automaton","display_name":"Nondeterministic finite automaton","score":0.7378479242324829},{"id":"https://openalex.org/keywords/quantum-finite-automata","display_name":"Quantum finite automata","score":0.7375676035881042},{"id":"https://openalex.org/keywords/unary-operation","display_name":"Unary operation","score":0.6949443221092224},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.646267294883728},{"id":"https://openalex.org/keywords/deterministic-finite-automaton","display_name":"Deterministic finite automaton","score":0.631267786026001},{"id":"https://openalex.org/keywords/\u03c9-automaton","display_name":"\u03c9-automaton","score":0.6108573079109192},{"id":"https://openalex.org/keywords/nondeterministic-algorithm","display_name":"Nondeterministic algorithm","score":0.591935396194458},{"id":"https://openalex.org/keywords/universality","display_name":"Universality (dynamical systems)","score":0.5700347423553467},{"id":"https://openalex.org/keywords/succinctness","display_name":"Succinctness","score":0.5690910816192627},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5459238290786743},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5186073780059814},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5014784336090088},{"id":"https://openalex.org/keywords/automata-theory","display_name":"Automata theory","score":0.4859541654586792},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.47717705368995667},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.4310649037361145},{"id":"https://openalex.org/keywords/finite-state-machine","display_name":"Finite-state machine","score":0.4247332811355591},{"id":"https://openalex.org/keywords/dfa-minimization","display_name":"DFA minimization","score":0.41554027795791626},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18852713704109192},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17633292078971863},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.15706944465637207}],"concepts":[{"id":"https://openalex.org/C158008952","wikidata":"https://www.wikidata.org/wiki/Q617295","display_name":"Nondeterministic finite automaton","level":4,"score":0.7378479242324829},{"id":"https://openalex.org/C174327141","wikidata":"https://www.wikidata.org/wiki/Q176837","display_name":"Quantum finite automata","level":4,"score":0.7375676035881042},{"id":"https://openalex.org/C78023250","wikidata":"https://www.wikidata.org/wiki/Q657596","display_name":"Unary operation","level":2,"score":0.6949443221092224},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.646267294883728},{"id":"https://openalex.org/C104091681","wikidata":"https://www.wikidata.org/wiki/Q837528","display_name":"Deterministic finite automaton","level":3,"score":0.631267786026001},{"id":"https://openalex.org/C92710233","wikidata":"https://www.wikidata.org/wiki/Q291256","display_name":"\u03c9-automaton","level":5,"score":0.6108573079109192},{"id":"https://openalex.org/C176181172","wikidata":"https://www.wikidata.org/wiki/Q3490301","display_name":"Nondeterministic algorithm","level":2,"score":0.591935396194458},{"id":"https://openalex.org/C183992945","wikidata":"https://www.wikidata.org/wiki/Q2495574","display_name":"Universality (dynamical systems)","level":2,"score":0.5700347423553467},{"id":"https://openalex.org/C2776493592","wikidata":"https://www.wikidata.org/wiki/Q5158717","display_name":"Succinctness","level":2,"score":0.5690910816192627},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5459238290786743},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5186073780059814},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5014784336090088},{"id":"https://openalex.org/C116248031","wikidata":"https://www.wikidata.org/wiki/Q214526","display_name":"Automata theory","level":3,"score":0.4859541654586792},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.47717705368995667},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.4310649037361145},{"id":"https://openalex.org/C167822520","wikidata":"https://www.wikidata.org/wiki/Q176452","display_name":"Finite-state machine","level":2,"score":0.4247332811355591},{"id":"https://openalex.org/C65753522","wikidata":"https://www.wikidata.org/wiki/Q5204896","display_name":"DFA minimization","level":5,"score":0.41554027795791626},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18852713704109192},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17633292078971863},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.15706944465637207},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/a10010024","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a10010024","pdf_url":"https://www.mdpi.com/1999-4893/10/1/24/pdf?version=1486273302","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:8556b0de82014f90bafc47d49ea94616","is_oa":true,"landing_page_url":"https://doaj.org/article/8556b0de82014f90bafc47d49ea94616","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms, Vol 10, Iss 1, p 24 (2017)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/a10010024","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a10010024","pdf_url":"https://www.mdpi.com/1999-4893/10/1/24/pdf?version=1486273302","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2586499659.pdf","grobid_xml":"https://content.openalex.org/works/W2586499659.grobid-xml"},"referenced_works_count":55,"referenced_works":["https://openalex.org/W149984445","https://openalex.org/W266537895","https://openalex.org/W1483543794","https://openalex.org/W1484072602","https://openalex.org/W1486877437","https://openalex.org/W1513456679","https://openalex.org/W1521923248","https://openalex.org/W1530543069","https://openalex.org/W1547995103","https://openalex.org/W1550462819","https://openalex.org/W1642309022","https://openalex.org/W1731774687","https://openalex.org/W1870847788","https://openalex.org/W1930502691","https://openalex.org/W1955289261","https://openalex.org/W1971747251","https://openalex.org/W1987681136","https://openalex.org/W1988572171","https://openalex.org/W1991366422","https://openalex.org/W1995725694","https://openalex.org/W1998084650","https://openalex.org/W2000084497","https://openalex.org/W2000290048","https://openalex.org/W2002208751","https://openalex.org/W2002992445","https://openalex.org/W2012948111","https://openalex.org/W2015963099","https://openalex.org/W2021009590","https://openalex.org/W2027683388","https://openalex.org/W2039529128","https://openalex.org/W2044471216","https://openalex.org/W2052581866","https://openalex.org/W2053159775","https://openalex.org/W2066393902","https://openalex.org/W2096202696","https://openalex.org/W2110819822","https://openalex.org/W2111132083","https://openalex.org/W2116087731","https://openalex.org/W2116250539","https://openalex.org/W2119397055","https://openalex.org/W2147611860","https://openalex.org/W2159892713","https://openalex.org/W2230017674","https://openalex.org/W2232942479","https://openalex.org/W2249739104","https://openalex.org/W2267751959","https://openalex.org/W2270129452","https://openalex.org/W2294424393","https://openalex.org/W2676854164","https://openalex.org/W2914414140","https://openalex.org/W3100227670","https://openalex.org/W6609753889","https://openalex.org/W6631698052","https://openalex.org/W6636714903","https://openalex.org/W6660559572"],"related_works":["https://openalex.org/W2030569822","https://openalex.org/W3143588635","https://openalex.org/W4205935260","https://openalex.org/W2537940722","https://openalex.org/W2368684504","https://openalex.org/W2079577017","https://openalex.org/W2050777932","https://openalex.org/W2083848761","https://openalex.org/W309405200","https://openalex.org/W2586499659"],"abstract_inverted_index":{"We":[0,15,62],"study":[1],"several":[2],"classical":[3],"decision":[4],"problems":[5,30,51],"on":[6,17,52,69,75],"finite":[7,38,53,65],"automata":[8,54,66],"under":[9],"the":[10],"(Strong)":[11],"Exponential":[12],"Time":[13],"Hypothesis.":[14],"focus":[16],"three":[18],"types":[19],"of":[20,26,50],"problems:":[21],"universality,":[22],"equivalence,":[23],"and":[24,58,72],"emptiness":[25],"intersection.":[27],"All":[28],"these":[29],"are":[31],"known":[32],"to":[33,43,56,59],"be":[34],"CoNP-hard":[35],"for":[36],"nondeterministic":[37],"automata,":[39],"even":[40],"when":[41],"restricted":[42],"unary":[44],"input":[45],"alphabets.":[46],"A":[47],"different":[48],"type":[49],"relates":[55],"aperiodicity":[57],"synchronizing":[60],"words.":[61,77],"also":[63],"consider":[64],"that":[67],"work":[68],"commutative":[70],"alphabets":[71],"those":[73],"working":[74],"two-dimensional":[76]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-03-17T09:09:15.849793","created_date":"2025-10-10T00:00:00"}
