{"id":"https://openalex.org/W1998492873","doi":"https://doi.org/10.1017/s0960129500000487","title":"A categorical look at tree automata and context-free languages","display_name":"A categorical look at tree automata and context-free languages","publication_year":1994,"publication_date":"1994-09-01","ids":{"openalex":"https://openalex.org/W1998492873","doi":"https://doi.org/10.1017/s0960129500000487","mag":"1998492873"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129500000487","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129500000487","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","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/A5060949961","display_name":"Kimmo I. Rosenthal","orcid":null},"institutions":[{"id":"https://openalex.org/I177328695","display_name":"Union College","ror":"https://ror.org/058w5nk68","country_code":"US","type":"education","lineage":["https://openalex.org/I177328695"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Kimmo I. Rosenthal","raw_affiliation_strings":["Union College, Department of Mathematics, Bailey Hall, Schenectady, New York","Union College,"],"affiliations":[{"raw_affiliation_string":"Union College, Department of Mathematics, Bailey Hall, Schenectady, New York","institution_ids":["https://openalex.org/I177328695"]},{"raw_affiliation_string":"Union College,","institution_ids":["https://openalex.org/I177328695"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5060949961"],"corresponding_institution_ids":["https://openalex.org/I177328695"],"apc_list":null,"apc_paid":null,"fwci":1.4615,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.79750813,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":"3","first_page":"287","last_page":"293"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9997000098228455,"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":0.9997000098228455,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9988999962806702,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9972000122070312,"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/categorical-variable","display_name":"Categorical variable","score":0.7189579606056213},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.6651066541671753},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.6158015727996826},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5902471542358398},{"id":"https://openalex.org/keywords/nested-word","display_name":"Nested word","score":0.5524864196777344},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.538205623626709},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.49851155281066895},{"id":"https://openalex.org/keywords/rule-based-machine-translation","display_name":"Rule-based machine translation","score":0.4262444078922272},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4259125590324402},{"id":"https://openalex.org/keywords/automata-theory","display_name":"Automata theory","score":0.366644024848938},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3531937599182129},{"id":"https://openalex.org/keywords/natural-language-processing","display_name":"Natural language processing","score":0.2845480442047119},{"id":"https://openalex.org/keywords/quantum-finite-automata","display_name":"Quantum finite automata","score":0.2558252215385437},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12840595841407776},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.08885353803634644},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.05997994542121887}],"concepts":[{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.7189579606056213},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.6651066541671753},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.6158015727996826},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5902471542358398},{"id":"https://openalex.org/C92117001","wikidata":"https://www.wikidata.org/wiki/Q6997829","display_name":"Nested word","level":5,"score":0.5524864196777344},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.538205623626709},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.49851155281066895},{"id":"https://openalex.org/C53893814","wikidata":"https://www.wikidata.org/wiki/Q7378909","display_name":"Rule-based machine translation","level":2,"score":0.4262444078922272},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4259125590324402},{"id":"https://openalex.org/C116248031","wikidata":"https://www.wikidata.org/wiki/Q214526","display_name":"Automata theory","level":3,"score":0.366644024848938},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3531937599182129},{"id":"https://openalex.org/C204321447","wikidata":"https://www.wikidata.org/wiki/Q30642","display_name":"Natural language processing","level":1,"score":0.2845480442047119},{"id":"https://openalex.org/C174327141","wikidata":"https://www.wikidata.org/wiki/Q176837","display_name":"Quantum finite automata","level":4,"score":0.2558252215385437},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12840595841407776},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.08885353803634644},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.05997994542121887},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0960129500000487","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129500000487","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","score":0.6700000166893005,"display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W81214682","https://openalex.org/W1792524809","https://openalex.org/W1865909509","https://openalex.org/W2020008138","https://openalex.org/W2039534070","https://openalex.org/W2065739476","https://openalex.org/W2107674601","https://openalex.org/W3037477934","https://openalex.org/W4212824019","https://openalex.org/W4212882251","https://openalex.org/W6638017429"],"related_works":["https://openalex.org/W1513971594","https://openalex.org/W1595022566","https://openalex.org/W2049315791","https://openalex.org/W4317940153","https://openalex.org/W2963823488","https://openalex.org/W2991417553","https://openalex.org/W2058117339","https://openalex.org/W2243686102","https://openalex.org/W1968401573","https://openalex.org/W2295768792"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3],"indicate":[4],"how":[5],"the":[6,36,43,53,59],"category":[7],"theoretical":[8],"approach":[9,25],"to":[10,14,26,29],"tree":[11,47],"automata,":[12],"due":[13],"Betti":[15],"and":[16,42],"Kasangian,":[17],"can":[18],"be":[19],"fruitfully":[20],"combined":[21],"with":[22],"Walters\u2019":[23],"categorical":[24],"context-free":[27,40],"grammars":[28],"provide":[30],"a":[31],"simple":[32],"way":[33],"of":[34,45,61],"establishing":[35],"well-known":[37],"correspondence":[38],"between":[39,52],"languages":[41],"behaviors":[44],"non-deterministic":[46],"automata.":[48],"The":[49],"connecting":[50],"link":[51],"two":[54],"notions":[55],"is":[56],"provided":[57],"by":[58],"theory":[60],"relational":[62],"presheaves.":[63]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
