{"id":"https://openalex.org/W2936611841","doi":"https://doi.org/10.1145/3373718.3394752","title":"Re-pairing brackets","display_name":"Re-pairing brackets","publication_year":2020,"publication_date":"2020-05-26","ids":{"openalex":"https://openalex.org/W2936611841","doi":"https://doi.org/10.1145/3373718.3394752","mag":"2936611841"},"language":"en","primary_location":{"id":"doi:10.1145/3373718.3394752","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3373718.3394752","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 35th Annual ACM/IEEE Symposium on Logic in Computer Science","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1904.08402","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082872998","display_name":"Dmitry Chistikov","orcid":"https://orcid.org/0000-0001-9055-918X"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Dmitry Chistikov","raw_affiliation_strings":["Centre for Discrete Mathematics and its Applications (DIMAP), Department of Computer Science, University of Warwick, Coventry, United Kingdom","University of Warwick"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Discrete Mathematics and its Applications (DIMAP), Department of Computer Science, University of Warwick, Coventry, United Kingdom","institution_ids":["https://openalex.org/I39555362"]},{"raw_affiliation_string":"University of Warwick","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054888158","display_name":"M. Vyalyi","orcid":"https://orcid.org/0000-0001-9822-1060"},"institutions":[{"id":"https://openalex.org/I118501908","display_name":"National Research University Higher School of Economics","ror":"https://ror.org/055f7t516","country_code":"RU","type":"education","lineage":["https://openalex.org/I118501908"]},{"id":"https://openalex.org/I153845743","display_name":"Moscow Institute of Physics and Technology","ror":"https://ror.org/00v0z9322","country_code":"RU","type":"education","lineage":["https://openalex.org/I153845743"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Mikhail Vyalyi","raw_affiliation_strings":["National Research University Higher School of Economics, Moscow, Russia, Dorodnicyn Computing Centre, FRC CSC RAS, Moscow, Russia, Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Research University Higher School of Economics, Moscow, Russia, Dorodnicyn Computing Centre, FRC CSC RAS, Moscow, Russia, Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region, Russia","institution_ids":["https://openalex.org/I118501908","https://openalex.org/I153845743"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.00857265,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"312","last_page":"326"},"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/T11269","display_name":"Algorithms and Data Compression","score":0.995199978351593,"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"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9932000041007996,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6886655688285828},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.67904132604599},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6566601991653442},{"id":"https://openalex.org/keywords/bracket","display_name":"Bracket","score":0.6482454538345337},{"id":"https://openalex.org/keywords/pairing","display_name":"Pairing","score":0.5364051461219788},{"id":"https://openalex.org/keywords/nondeterministic-finite-automaton","display_name":"Nondeterministic finite automaton","score":0.4778549373149872},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4593721628189087},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4591725170612335},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.45445916056632996},{"id":"https://openalex.org/keywords/translation","display_name":"Translation (biology)","score":0.4309060871601105},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.40471190214157104},{"id":"https://openalex.org/keywords/automata-theory","display_name":"Automata theory","score":0.24448981881141663},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17901462316513062},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1093408465385437},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07908511161804199}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6886655688285828},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.67904132604599},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6566601991653442},{"id":"https://openalex.org/C133769200","wikidata":"https://www.wikidata.org/wiki/Q174565","display_name":"Bracket","level":2,"score":0.6482454538345337},{"id":"https://openalex.org/C14103023","wikidata":"https://www.wikidata.org/wiki/Q11681459","display_name":"Pairing","level":3,"score":0.5364051461219788},{"id":"https://openalex.org/C158008952","wikidata":"https://www.wikidata.org/wiki/Q617295","display_name":"Nondeterministic finite automaton","level":4,"score":0.4778549373149872},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4593721628189087},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4591725170612335},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.45445916056632996},{"id":"https://openalex.org/C149364088","wikidata":"https://www.wikidata.org/wiki/Q185917","display_name":"Translation (biology)","level":4,"score":0.4309060871601105},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.40471190214157104},{"id":"https://openalex.org/C116248031","wikidata":"https://www.wikidata.org/wiki/Q214526","display_name":"Automata theory","level":3,"score":0.24448981881141663},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17901462316513062},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1093408465385437},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07908511161804199},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C54101563","wikidata":"https://www.wikidata.org/wiki/Q124131","display_name":"Superconductivity","level":2,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C105580179","wikidata":"https://www.wikidata.org/wiki/Q188928","display_name":"Messenger RNA","level":3,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1145/3373718.3394752","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3373718.3394752","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 35th Annual ACM/IEEE Symposium on Logic in Computer Science","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1904.08402","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1904.08402","pdf_url":"https://arxiv.org/pdf/1904.08402","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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:wrap.warwick.ac.uk:137788","is_oa":true,"landing_page_url":"http://wrap.warwick.ac.uk/137788/1/WRAP-re-pairing-brackets-Chistikov-2020.pdf","pdf_url":"http://wrap.warwick.ac.uk/137788/1/WRAP-re-pairing-brackets-Chistikov-2020.pdf","source":{"id":"https://openalex.org/S4306400665","display_name":"Warwick Research Archive Portal (University of Warwick)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39555362","host_organization_name":"University of Warwick","host_organization_lineage":["https://openalex.org/I39555362"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Item"},{"id":"mag:2936611841","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1904.08402","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1904.08402","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1904.08402","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5446/49321","is_oa":true,"landing_page_url":"https://doi.org/10.5446/49321","pdf_url":null,"source":{"id":"https://openalex.org/S7407052952","display_name":"TIB KMO / FLOWWORKS GmbH","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2802635041","host_organization_name":"Technische Informationsbibliothek (TIB)","host_organization_lineage":["https://openalex.org/I2802635041"],"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":"Audiovisual"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1904.08402","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1904.08402","pdf_url":"https://arxiv.org/pdf/1904.08402","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":[{"id":"https://openalex.org/G4711892333","display_name":null,"funder_award_id":"5-100","funder_id":"https://openalex.org/F4320321079","funder_display_name":"Russian Foundation for Basic Research"}],"funders":[{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W2436624","https://openalex.org/W4025470","https://openalex.org/W30276727","https://openalex.org/W138648951","https://openalex.org/W1485181793","https://openalex.org/W1492689639","https://openalex.org/W1525631812","https://openalex.org/W1529428897","https://openalex.org/W1564514837","https://openalex.org/W1580879785","https://openalex.org/W1766054560","https://openalex.org/W1876483187","https://openalex.org/W1880689432","https://openalex.org/W1972489978","https://openalex.org/W1982538124","https://openalex.org/W1986359097","https://openalex.org/W1998918799","https://openalex.org/W2014963708","https://openalex.org/W2019449338","https://openalex.org/W2021009590","https://openalex.org/W2022772583","https://openalex.org/W2026265861","https://openalex.org/W2031575609","https://openalex.org/W2032823354","https://openalex.org/W2036615169","https://openalex.org/W2042919731","https://openalex.org/W2058975167","https://openalex.org/W2066721455","https://openalex.org/W2073779224","https://openalex.org/W2088578754","https://openalex.org/W2102924625","https://openalex.org/W2106181999","https://openalex.org/W2136189747","https://openalex.org/W2142151475","https://openalex.org/W2157390113","https://openalex.org/W2162593546","https://openalex.org/W2188672352","https://openalex.org/W2258615751","https://openalex.org/W2290154211","https://openalex.org/W2340149117","https://openalex.org/W2512604152","https://openalex.org/W2530095326","https://openalex.org/W2545980349","https://openalex.org/W2749638317","https://openalex.org/W3100227670","https://openalex.org/W3101351575","https://openalex.org/W4231710040","https://openalex.org/W4251691259","https://openalex.org/W6665179543"],"related_works":["https://openalex.org/W3030407714","https://openalex.org/W2027529831","https://openalex.org/W3196874774","https://openalex.org/W1503084978","https://openalex.org/W2949861521","https://openalex.org/W3100488283","https://openalex.org/W2913561688","https://openalex.org/W3120287019","https://openalex.org/W3080853710","https://openalex.org/W2275775742","https://openalex.org/W1068520834","https://openalex.org/W2617487162","https://openalex.org/W1663635656","https://openalex.org/W59040099","https://openalex.org/W1533814670","https://openalex.org/W2621373850","https://openalex.org/W3143710704","https://openalex.org/W1506210129","https://openalex.org/W2484436671","https://openalex.org/W2885320505"],"abstract_inverted_index":{"Consider":[0],"the":[1,20,42,46,56,70],"following":[2],"one-player":[3],"game.":[4],"Take":[5],"a":[6,18,49],"well-formed":[7],"sequence":[8],"of":[9,48,59,62],"opening":[10,25],"and":[11,45],"closing":[12,29],"brackets":[13],"(a":[14],"Dyck":[15],"word).":[16],"As":[17],"move,":[19],"player":[21],"can":[22],"pair":[23],"any":[24,28],"bracket":[26,30],"with":[27],"to":[31,39],"its":[32,54],"right,":[33],"erasing":[34],"them.":[35],"The":[36],"goal":[37],"is":[38,51],"re-pair":[40],"(erase)":[41],"entire":[43],"sequence,":[44],"cost":[47],"strategy":[50],"measured":[52],"by":[53,65],"width:":[55],"maximum":[57],"number":[58],"nonempty":[60],"segments":[61],"symbols":[63],"(separated":[64],"blank":[66],"space)":[67],"seen":[68],"during":[69],"play.":[71]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}