{"id":"https://openalex.org/W63217226","doi":"https://doi.org/10.25596/jalc-2002-455","title":"State Complexity of Proportional Removals","display_name":"State Complexity of Proportional Removals","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W63217226","doi":"https://doi.org/10.25596/jalc-2002-455","mag":"63217226"},"language":"en","primary_location":{"id":"doi:10.25596/jalc-2002-455","is_oa":true,"landing_page_url":"https://doi.org/10.25596/jalc-2002-455","pdf_url":null,"source":{"id":"https://openalex.org/S7407052994","display_name":"Universit\u00e4tsbibliothek Gie\u00dfen","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200763008","host_organization_name":"Justus-Liebig-Universit\u00e4t Gie\u00dfen","host_organization_lineage":["https://openalex.org/I200763008"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.25596/jalc-2002-455","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002321933","display_name":"Michael Domaratzki","orcid":"https://orcid.org/0000-0001-9129-6676"},"institutions":[{"id":"https://openalex.org/I204722609","display_name":"Queen's University","ror":"https://ror.org/02y72wh86","country_code":"CA","type":"education","lineage":["https://openalex.org/I204722609"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Domaratzki, Michael","raw_affiliation_strings":["School of Computing, Queen's University, Kingston, ON KTL 3N6 Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing, Queen's University, Kingston, ON KTL 3N6 Canada","institution_ids":["https://openalex.org/I204722609"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5002321933"],"corresponding_institution_ids":["https://openalex.org/I204722609"],"apc_list":null,"apc_paid":null,"fwci":1.5623,"has_fulltext":false,"cited_by_count":53,"citation_normalized_percentile":{"value":0.80325708,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"7","issue":"4","first_page":"455","last_page":"468"},"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/T10142","display_name":"Formal Methods in Verification","score":0.9918000102043152,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9890000224113464,"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/unary-operation","display_name":"Unary operation","score":0.9880878925323486},{"id":"https://openalex.org/keywords/reset","display_name":"Reset (finance)","score":0.6853597164154053},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.681233286857605},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6433883905410767},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.572786271572113},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.531019389629364},{"id":"https://openalex.org/keywords/regular-language","display_name":"Regular language","score":0.5235364437103271},{"id":"https://openalex.org/keywords/finite-state-machine","display_name":"Finite-state machine","score":0.4390599727630615},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4287642538547516},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3887957036495209},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3348202705383301},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22524398565292358},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.19200915098190308},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.053164780139923096}],"concepts":[{"id":"https://openalex.org/C78023250","wikidata":"https://www.wikidata.org/wiki/Q657596","display_name":"Unary operation","level":2,"score":0.9880878925323486},{"id":"https://openalex.org/C2779795794","wikidata":"https://www.wikidata.org/wiki/Q7315343","display_name":"Reset (finance)","level":2,"score":0.6853597164154053},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.681233286857605},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6433883905410767},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.572786271572113},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.531019389629364},{"id":"https://openalex.org/C52370388","wikidata":"https://www.wikidata.org/wiki/Q752532","display_name":"Regular language","level":3,"score":0.5235364437103271},{"id":"https://openalex.org/C167822520","wikidata":"https://www.wikidata.org/wiki/Q176452","display_name":"Finite-state machine","level":2,"score":0.4390599727630615},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4287642538547516},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3887957036495209},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3348202705383301},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22524398565292358},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.19200915098190308},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.053164780139923096},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.25596/jalc-2002-455","is_oa":true,"landing_page_url":"https://doi.org/10.25596/jalc-2002-455","pdf_url":null,"source":{"id":"https://openalex.org/S7407052994","display_name":"Universit\u00e4tsbibliothek Gie\u00dfen","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200763008","host_organization_name":"Justus-Liebig-Universit\u00e4t Gie\u00dfen","host_organization_lineage":["https://openalex.org/I200763008"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"},{"id":"mag:63217226","is_oa":false,"landing_page_url":"http://www.cs.umanitoba.ca/%7Emdomarat/pubs/sc_jalc.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S62907800","display_name":"Journal of automata, languages and combinatorics","issn_l":"1430-189X","issn":["1430-189X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313929","host_organization_name":"University of Giessen","host_organization_lineage":["https://openalex.org/P4310313929"],"host_organization_lineage_names":["University of Giessen"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Journal of automata, languages and combinatorics","raw_type":null}],"best_oa_location":{"id":"doi:10.25596/jalc-2002-455","is_oa":true,"landing_page_url":"https://doi.org/10.25596/jalc-2002-455","pdf_url":null,"source":{"id":"https://openalex.org/S7407052994","display_name":"Universit\u00e4tsbibliothek Gie\u00dfen","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200763008","host_organization_name":"Justus-Liebig-Universit\u00e4t Gie\u00dfen","host_organization_lineage":["https://openalex.org/I200763008"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1507575253","https://openalex.org/W1519163652","https://openalex.org/W1963890729","https://openalex.org/W1971747251","https://openalex.org/W2002089154","https://openalex.org/W2006629323","https://openalex.org/W2022485134","https://openalex.org/W2473331676","https://openalex.org/W2913383557"],"related_works":["https://openalex.org/W2006629323","https://openalex.org/W1525645762","https://openalex.org/W1988560957","https://openalex.org/W2025521996","https://openalex.org/W1546512194","https://openalex.org/W2913383557","https://openalex.org/W2050154914","https://openalex.org/W2108842989","https://openalex.org/W2054220885","https://openalex.org/W2002089154","https://openalex.org/W2011242982","https://openalex.org/W2011252827","https://openalex.org/W1546124752","https://openalex.org/W1519163652","https://openalex.org/W1503475537","https://openalex.org/W2473331676","https://openalex.org/W2395258062","https://openalex.org/W2084661883","https://openalex.org/W2056137446","https://openalex.org/W1784335425"],"abstract_inverted_index":{"We":[0,37,50],"examine":[1],"the":[2,21,40],"state":[3,42],"complexity":[4,43],"of":[5],"proportional":[6,53],"removals":[7,54],"such":[8],"as":[9],"$\\frac{1}{2}(L)$.":[10],"For":[11],"$\\frac{1}{2}(L)$,":[12],"we":[13],"show":[14],"a":[15,26],"bound":[16,33],"which":[17],"is":[18,25,48],"tight":[19],"in":[20],"case":[22],"that":[23],"$L$":[24,47],"unary":[27],"language,":[28],"and":[29,55],"an":[30],"nearly":[31],"optimal":[32],"for":[34,44,58],"arbitrary":[35],"languages.":[36],"also":[38],"compute":[39],"average":[41],"$\\frac{1}{2}(L)$":[45],"if":[46],"unary.":[49],"study":[51],"other":[52],"give":[56],"bounds":[57],"certain":[59],"reset":[60],"automata.":[61]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":4}],"updated_date":"2026-08-14T07:06:38.338062","created_date":"2025-10-10T00:00:00"}