{"id":"https://openalex.org/W2046935329","doi":"https://doi.org/10.1051/ita:2004004","title":"On the equivalence of linear conjunctive grammars and trellis automata","display_name":"On the equivalence of linear conjunctive grammars and trellis automata","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2046935329","doi":"https://doi.org/10.1051/ita:2004004","mag":"2046935329"},"language":"en","primary_location":{"id":"doi:10.1051/ita:2004004","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ita:2004004","pdf_url":null,"source":{"id":"https://openalex.org/S6941720","display_name":"RAIRO - Theoretical Informatics and Applications","issn_l":"0988-3754","issn":["0988-3754","1290-385X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Theoretical Informatics and Applications","raw_type":"journal-article"},"type":"article","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/A5005683089","display_name":"Alexander Okhotin","orcid":"https://orcid.org/0000-0002-1615-2725"},"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":"Alexander Okhotin","raw_affiliation_strings":["School of Computing, Queen's University, Kingston, Ontario, Canada; okhotin@cs.queensu.ca","School of Computing, Queen's University Kingston Ontario Canada"],"affiliations":[{"raw_affiliation_string":"School of Computing, Queen's University, Kingston, Ontario, Canada; okhotin@cs.queensu.ca","institution_ids":[]},{"raw_affiliation_string":"School of Computing, Queen's University Kingston Ontario Canada","institution_ids":["https://openalex.org/I204722609"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5005683089"],"corresponding_institution_ids":["https://openalex.org/I204722609"],"apc_list":null,"apc_paid":null,"fwci":5.0576,"has_fulltext":false,"cited_by_count":59,"citation_normalized_percentile":{"value":0.9558356,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"38","issue":"1","first_page":"69","last_page":"88"},"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/T12162","display_name":"Cellular Automata and Applications","score":0.9994000196456909,"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":0.9983000159263611,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.7415376901626587},{"id":"https://openalex.org/keywords/deterministic-context-free-grammar","display_name":"Deterministic context-free grammar","score":0.7204151153564453},{"id":"https://openalex.org/keywords/embedded-pushdown-automaton","display_name":"Embedded pushdown automaton","score":0.6621439456939697},{"id":"https://openalex.org/keywords/rule-based-machine-translation","display_name":"Rule-based machine translation","score":0.5130125880241394},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.4934927225112915},{"id":"https://openalex.org/keywords/tree-adjoining-grammar","display_name":"Tree-adjoining grammar","score":0.4869557321071625},{"id":"https://openalex.org/keywords/context-sensitive-grammar","display_name":"Context-sensitive grammar","score":0.4648168683052063},{"id":"https://openalex.org/keywords/context-free-language","display_name":"Context-free language","score":0.4550039768218994},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4360790550708771},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4350399374961853},{"id":"https://openalex.org/keywords/trellis","display_name":"Trellis (graph)","score":0.42254653573036194},{"id":"https://openalex.org/keywords/indexed-grammar","display_name":"Indexed grammar","score":0.4133090376853943},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.403425931930542},{"id":"https://openalex.org/keywords/context-free-grammar","display_name":"Context-free grammar","score":0.39304620027542114},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3862634599208832},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3347049951553345},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2513471841812134},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.13404503464698792},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12164455652236938}],"concepts":[{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.7415376901626587},{"id":"https://openalex.org/C177638518","wikidata":"https://www.wikidata.org/wiki/Q3435975","display_name":"Deterministic context-free grammar","level":5,"score":0.7204151153564453},{"id":"https://openalex.org/C27034413","wikidata":"https://www.wikidata.org/wiki/Q5370010","display_name":"Embedded pushdown automaton","level":5,"score":0.6621439456939697},{"id":"https://openalex.org/C53893814","wikidata":"https://www.wikidata.org/wiki/Q7378909","display_name":"Rule-based machine translation","level":2,"score":0.5130125880241394},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.4934927225112915},{"id":"https://openalex.org/C134083981","wikidata":"https://www.wikidata.org/wiki/Q1754022","display_name":"Tree-adjoining grammar","level":4,"score":0.4869557321071625},{"id":"https://openalex.org/C125950753","wikidata":"https://www.wikidata.org/wiki/Q908674","display_name":"Context-sensitive grammar","level":4,"score":0.4648168683052063},{"id":"https://openalex.org/C198838072","wikidata":"https://www.wikidata.org/wiki/Q729271","display_name":"Context-free language","level":3,"score":0.4550039768218994},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4360790550708771},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4350399374961853},{"id":"https://openalex.org/C2781235587","wikidata":"https://www.wikidata.org/wiki/Q7838009","display_name":"Trellis (graph)","level":3,"score":0.42254653573036194},{"id":"https://openalex.org/C79243999","wikidata":"https://www.wikidata.org/wiki/Q6590011","display_name":"Indexed grammar","level":5,"score":0.4133090376853943},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.403425931930542},{"id":"https://openalex.org/C97212296","wikidata":"https://www.wikidata.org/wiki/Q338047","display_name":"Context-free grammar","level":3,"score":0.39304620027542114},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3862634599208832},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3347049951553345},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2513471841812134},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.13404503464698792},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12164455652236938},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1051/ita:2004004","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ita:2004004","pdf_url":null,"source":{"id":"https://openalex.org/S6941720","display_name":"RAIRO - Theoretical Informatics and Applications","issn_l":"0988-3754","issn":["0988-3754","1290-385X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Theoretical Informatics and Applications","raw_type":"journal-article"},{"id":"pmh:oai:numdam.org:ITA_2004__38_1_69_0","is_oa":false,"landing_page_url":"https://www.numdam.org/articles/10.1051/ita:2004004/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","score":0.7699999809265137,"display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1512779672","https://openalex.org/W1890888469","https://openalex.org/W1971471851","https://openalex.org/W1985877122","https://openalex.org/W1989113687","https://openalex.org/W1994377305","https://openalex.org/W2065620770","https://openalex.org/W2066725205","https://openalex.org/W2073577522","https://openalex.org/W2078011493","https://openalex.org/W2085862166","https://openalex.org/W2094323437","https://openalex.org/W2146514564","https://openalex.org/W2188416243","https://openalex.org/W4229969393","https://openalex.org/W6630884544"],"related_works":["https://openalex.org/W2067980891","https://openalex.org/W2019032507","https://openalex.org/W2403874525","https://openalex.org/W1992439855","https://openalex.org/W2057847529","https://openalex.org/W1987076568","https://openalex.org/W2116051198","https://openalex.org/W1543969654","https://openalex.org/W4294576161","https://openalex.org/W2046935329"],"abstract_inverted_index":{"This":[0],"paper":[1],"establishes":[2],"computational":[3],"equivalence":[4,62,65],"of":[5,23,39,66,76,83,93],"two":[6],"seemingly":[7],"unrelated":[8],"concepts:":[9],"linear":[10,43,52],"conjunctive":[11,44],"grammars":[12,54],"and":[13,79],"trellis":[14],"automata.":[15],"Trellis":[16],"automata,":[17,27],"also":[18],"studied":[19],"under":[20],"the":[21,64,91,94],"name":[22],"one-way":[24],"real-time":[25],"cellular":[26],"have":[28],"been":[29],"known":[30],"since":[31],"early":[32],"1980s":[33],"as":[34],"a":[35,47,72,80],"purely":[36],"abstract":[37],"model":[38],"parallel":[40],"computers,":[41],"while":[42],"grammars,":[45],"introduced":[46],"few":[48],"years":[49],"ago,":[50],"are":[51],"context-free":[53],"extended":[55],"with":[56],"an":[57],"explicit":[58],"intersection":[59],"operation.":[60],"Their":[61],"implies":[63],"several":[67],"other":[68],"formal":[69],"systems,":[70],"including":[71],"certain":[73,81],"restricted":[74],"class":[75],"Turing":[77],"machines":[78],"type":[82],"language":[84,95],"equations,":[85],"thus":[86],"giving":[87],"further":[88],"evidence":[89],"for":[90],"importance":[92],"family":[96],"they":[97],"all":[98],"generate.":[99]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
