{"id":"https://openalex.org/W2584948573","doi":"https://doi.org/10.1007/978-3-319-53733-7_30","title":"On the Computational Power of Affine Automata","display_name":"On the Computational Power of Affine Automata","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2584948573","doi":"https://doi.org/10.1007/978-3-319-53733-7_30","mag":"2584948573"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-53733-7_30","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-53733-7_30","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1612.01870","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037122229","display_name":"Mika Hirvensalo","orcid":"https://orcid.org/0000-0002-7014-0258"},"institutions":[{"id":"https://openalex.org/I155660961","display_name":"University of Turku","ror":"https://ror.org/05vghhr25","country_code":"FI","type":"education","lineage":["https://openalex.org/I155660961"]},{"id":"https://openalex.org/I183173800","display_name":"Turku Centre for Computer Science","ror":"https://ror.org/00vy7ed73","country_code":"FI","type":"facility","lineage":["https://openalex.org/I130217899","https://openalex.org/I155660961","https://openalex.org/I183173800"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Mika Hirvensalo","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Turku, 20014, Turku, Finland","Turku Centre for Computer Science (TUCS), Turku, Finland","Turku Centre for Computer Science (FIN-20014, Turku - Finland)","Department of Mathematics and Statistics, University of Turku (Finland)"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Turku, 20014, Turku, Finland","institution_ids":["https://openalex.org/I155660961"]},{"raw_affiliation_string":"Turku Centre for Computer Science (TUCS), Turku, Finland","institution_ids":["https://openalex.org/I183173800"]},{"raw_affiliation_string":"Turku Centre for Computer Science (FIN-20014, Turku - Finland)","institution_ids":["https://openalex.org/I183173800"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Turku (Finland)","institution_ids":["https://openalex.org/I155660961"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056187379","display_name":"Etienne Moutot","orcid":"https://orcid.org/0000-0003-2073-4709"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I155660961","display_name":"University of Turku","ror":"https://ror.org/05vghhr25","country_code":"FI","type":"education","lineage":["https://openalex.org/I155660961"]}],"countries":["FI","FR"],"is_corresponding":false,"raw_author_name":"Etienne Moutot","raw_affiliation_strings":["LIP, ENS de Lyon \u2013 CNRS \u2013 INRIA \u2013 UCBL \u2013 Universit\u00e9 de Lyon, \u00c9cole Normale Sup\u00e9rieure de Lyon, 69007, Lyon, France","Department of Mathematics and Statistics, University of Turku (Finland)","MC2 - Mod\u00e8les de calcul, Complexit\u00e9, Combinatoire (ENS Lyon 46 all\u00e9e d'Italie 69364 Lyon Cedex 07 - France)"],"affiliations":[{"raw_affiliation_string":"LIP, ENS de Lyon \u2013 CNRS \u2013 INRIA \u2013 UCBL \u2013 Universit\u00e9 de Lyon, \u00c9cole Normale Sup\u00e9rieure de Lyon, 69007, Lyon, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I113428412","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Turku (Finland)","institution_ids":["https://openalex.org/I155660961"]},{"raw_affiliation_string":"MC2 - Mod\u00e8les de calcul, Complexit\u00e9, Combinatoire (ENS Lyon 46 all\u00e9e d'Italie 69364 Lyon Cedex 07 - France)","institution_ids":["https://openalex.org/I113428412"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002142749","display_name":"Abuzer Yakary\u0131lmaz","orcid":"https://orcid.org/0000-0002-2372-252X"},"institutions":[{"id":"https://openalex.org/I91123046","display_name":"University of Latvia","ror":"https://ror.org/05g3mes96","country_code":"LV","type":"education","lineage":["https://openalex.org/I91123046"]}],"countries":["LV"],"is_corresponding":false,"raw_author_name":"Abuzer Yakary\u0131lmaz","raw_affiliation_strings":["Faculty of Computing, University of Latvia, Raina Bulv. 19, Riga, 1586, Latvia","LU - University of Latvia (Rai\u0146a bulv\u0101ris 19, Centra rajons, R\u012bga, LV-1586 - Latvia)"],"affiliations":[{"raw_affiliation_string":"Faculty of Computing, University of Latvia, Raina Bulv. 19, Riga, 1586, Latvia","institution_ids":["https://openalex.org/I91123046"]},{"raw_affiliation_string":"LU - University of Latvia (Rai\u0146a bulv\u0101ris 19, Centra rajons, R\u012bga, LV-1586 - Latvia)","institution_ids":["https://openalex.org/I91123046"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5037122229"],"corresponding_institution_ids":["https://openalex.org/I155660961","https://openalex.org/I183173800"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.1364,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.85351044,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"405","last_page":"417"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9980999827384949,"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":0.9970999956130981,"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/affine-transformation","display_name":"Affine transformation","score":0.8344222903251648},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6792466640472412},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.655963659286499},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.6418484449386597},{"id":"https://openalex.org/keywords/affine-arithmetic","display_name":"Affine arithmetic","score":0.5429110527038574},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4449363946914673},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3953179121017456},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34771186113357544},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27486106753349304},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.13925215601921082}],"concepts":[{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.8344222903251648},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6792466640472412},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.655963659286499},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.6418484449386597},{"id":"https://openalex.org/C167315692","wikidata":"https://www.wikidata.org/wiki/Q3622729","display_name":"Affine arithmetic","level":3,"score":0.5429110527038574},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4449363946914673},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3953179121017456},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34771186113357544},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27486106753349304},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.13925215601921082},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-319-53733-7_30","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-53733-7_30","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:arXiv.org:1612.01870","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1612.01870","pdf_url":"https://arxiv.org/pdf/1612.01870","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-01908682v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01908682","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://grammars.grlmc.com/LATA2017/","raw_type":"Conference papers"},{"id":"pmh:oai:www.utupub.fi:10024/156591","is_oa":false,"landing_page_url":"https://www.utupub.fi/handle/10024/156591","pdf_url":null,"source":{"id":"https://openalex.org/S4306402470","display_name":"UTUPub (University of Turku)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I155660961","host_organization_name":"University of Turku","host_organization_lineage":["https://openalex.org/I155660961"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1612.01870","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1612.01870","pdf_url":"https://arxiv.org/pdf/1612.01870","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W177913229","https://openalex.org/W1994584977","https://openalex.org/W2008943448","https://openalex.org/W2041354954","https://openalex.org/W2049055375","https://openalex.org/W2056590739","https://openalex.org/W2115757125","https://openalex.org/W2275579475","https://openalex.org/W2275775742","https://openalex.org/W2282088154","https://openalex.org/W2767770370","https://openalex.org/W2912812650","https://openalex.org/W3100552287","https://openalex.org/W3200493159","https://openalex.org/W4212875940","https://openalex.org/W4213269876","https://openalex.org/W4236196594","https://openalex.org/W4301262831","https://openalex.org/W6766143396"],"related_works":["https://openalex.org/W3129089851","https://openalex.org/W2147412345","https://openalex.org/W1541259390","https://openalex.org/W1965628666","https://openalex.org/W2151040698","https://openalex.org/W1573628673","https://openalex.org/W2104768602","https://openalex.org/W2124122503","https://openalex.org/W2170363076","https://openalex.org/W4230822422"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}