{"id":"https://openalex.org/W1989110026","doi":"https://doi.org/10.1017/s0960129500000803","title":"A generalization of the trie data structure","display_name":"A generalization of the trie data structure","publication_year":1995,"publication_date":"1995-09-01","ids":{"openalex":"https://openalex.org/W1989110026","doi":"https://doi.org/10.1017/s0960129500000803","mag":"1989110026"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129500000803","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129500000803","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/A5027997099","display_name":"Richard Connelly","orcid":null},"institutions":[{"id":"https://openalex.org/I196272386","display_name":"Providence College","ror":"https://ror.org/00rxpqe74","country_code":"US","type":"education","lineage":["https://openalex.org/I196272386"]},{"id":"https://openalex.org/I53118340","display_name":"Rhode Island College","ror":"https://ror.org/01k5gt570","country_code":"US","type":"education","lineage":["https://openalex.org/I53118340"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Richard H. Connelly","raw_affiliation_strings":["Department of Mathematics and Computer Science, Providence College, River and Eaton Streets, Providence, Rhode Island 02918, USA. Email:","Department of Mathematics and Computer Science, Providence College, River and Eaton Streets, Providence, Rhode Island 02918, USA. Email: rconnell@sequent1.providence.edu"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Providence College, River and Eaton Streets, Providence, Rhode Island 02918, USA. Email:","institution_ids":["https://openalex.org/I196272386","https://openalex.org/I53118340"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Providence College, River and Eaton Streets, Providence, Rhode Island 02918, USA. Email: rconnell@sequent1.providence.edu","institution_ids":["https://openalex.org/I196272386"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086814530","display_name":"F. Lockwood Morris","orcid":null},"institutions":[{"id":"https://openalex.org/I70983195","display_name":"Syracuse University","ror":"https://ror.org/025r5qe02","country_code":"US","type":"education","lineage":["https://openalex.org/I70983195"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"F. Lockwood Morris","raw_affiliation_strings":["School of Computer and Information Science, 4\u2013116 Center for Science and Technology, Syracuse University, Syracuse, New York 13244\u20134100, USA. Email:","School of Computer and Information Science, 4\u2013116 Center for Science and Technology, Syracuse University, Syracuse, New York 13244\u20134100, USA. Email: lockwood@top.cis.syr.Edu"],"affiliations":[{"raw_affiliation_string":"School of Computer and Information Science, 4\u2013116 Center for Science and Technology, Syracuse University, Syracuse, New York 13244\u20134100, USA. Email:","institution_ids":["https://openalex.org/I70983195"]},{"raw_affiliation_string":"School of Computer and Information Science, 4\u2013116 Center for Science and Technology, Syracuse University, Syracuse, New York 13244\u20134100, USA. Email: lockwood@top.cis.syr.Edu","institution_ids":["https://openalex.org/I70983195"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5027997099"],"corresponding_institution_ids":["https://openalex.org/I196272386","https://openalex.org/I53118340"],"apc_list":null,"apc_paid":null,"fwci":1.1761,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.8173209,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"5","issue":"3","first_page":"381","last_page":"418"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9993000030517578,"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/T10317","display_name":"Advanced Database Systems and Queries","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11567","display_name":"semigroups and automata theory","score":0.9897000193595886,"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/functor","display_name":"Functor","score":0.7332433462142944},{"id":"https://openalex.org/keywords/trie","display_name":"Trie","score":0.684323787689209},{"id":"https://openalex.org/keywords/signature","display_name":"Signature (topology)","score":0.6265504360198975},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5847390294075012},{"id":"https://openalex.org/keywords/morphism","display_name":"Morphism","score":0.5358321666717529},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.512689471244812},{"id":"https://openalex.org/keywords/recursion","display_name":"Recursion (computer science)","score":0.49916625022888184},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.4637487530708313},{"id":"https://openalex.org/keywords/natural-transformation","display_name":"Natural transformation","score":0.45383548736572266},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.44370540976524353},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4047638475894928},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36938196420669556},{"id":"https://openalex.org/keywords/data-structure","display_name":"Data structure","score":0.3663417398929596},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3545081615447998},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34991902112960815},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19425809383392334},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1570003628730774},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06834986805915833}],"concepts":[{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.7332433462142944},{"id":"https://openalex.org/C190290938","wikidata":"https://www.wikidata.org/wiki/Q387015","display_name":"Trie","level":3,"score":0.684323787689209},{"id":"https://openalex.org/C2779696439","wikidata":"https://www.wikidata.org/wiki/Q7512811","display_name":"Signature (topology)","level":2,"score":0.6265504360198975},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5847390294075012},{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.5358321666717529},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.512689471244812},{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.49916625022888184},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.4637487530708313},{"id":"https://openalex.org/C99633028","wikidata":"https://www.wikidata.org/wiki/Q1442189","display_name":"Natural transformation","level":3,"score":0.45383548736572266},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.44370540976524353},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4047638475894928},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36938196420669556},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.3663417398929596},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3545081615447998},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34991902112960815},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19425809383392334},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1570003628730774},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06834986805915833},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1017/s0960129500000803","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129500000803","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"},{"id":"pmh:oai:surface.syr.edu:eecs_techreports-1166","is_oa":false,"landing_page_url":"https://surface.syr.edu/eecs_techreports/162","pdf_url":null,"source":{"id":"https://openalex.org/S4306401700","display_name":"Syracuse University Libraries (Syracuse University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70983195","host_organization_name":"Syracuse University","host_organization_lineage":["https://openalex.org/I70983195"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electrical Engineering and Computer Science - Technical Reports","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.902.7768","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.902.7768","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://surface.syr.edu/cgi/viewcontent.cgi?article%3D1166%26context%3Deecs_techreports","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1523016082","https://openalex.org/W1553410309","https://openalex.org/W1964952791","https://openalex.org/W1971241371","https://openalex.org/W1974784305","https://openalex.org/W1984762207","https://openalex.org/W2024873396","https://openalex.org/W2061786858","https://openalex.org/W2120713972","https://openalex.org/W2337480916","https://openalex.org/W2468597313","https://openalex.org/W2478950348","https://openalex.org/W2752853835","https://openalex.org/W2913559126","https://openalex.org/W3027900649","https://openalex.org/W4206425789"],"related_works":["https://openalex.org/W2941520616","https://openalex.org/W2762459726","https://openalex.org/W3024508715","https://openalex.org/W1992729023","https://openalex.org/W4226110145","https://openalex.org/W4221165452","https://openalex.org/W1985557227","https://openalex.org/W2903354553","https://openalex.org/W4289241737","https://openalex.org/W1989110026"],"abstract_inverted_index":{"Tries,":[0],"a":[1,10,66,74,103],"form":[2],"of":[3,36,90,105,117],"string-indexed":[4],"look-up":[5,71],"structure,":[6],"are":[7],"generalized,":[8],"in":[9,81],"manner":[11],"first":[12],"discovered":[13],"by":[14,19,84,99],"Wadsworth,":[15],"to":[16,23,33,38,57,121],"permit":[17],"indexing":[18],"terms":[20],"built":[21],"according":[22],"an":[24],"arbitrary":[25],"signature.":[26],"The":[27,77],"construction":[28,116],"is":[29,44,64,73,80],"parametric":[30],"with":[31],"respect":[32],"the":[34,47,69,85,96,101],"type":[35,56],"data":[37],"be":[39],"stored":[40],"as":[41],"values;":[42],"this":[43],"essential,":[45],"because":[46],"recursion":[48],"that":[49],"defines":[50],"tries":[51,118],"appeals":[52],"from":[53],"one":[54],"value":[55],"others.":[58],"\u2018Trie\u2019":[59],"(for":[60],"any":[61],"fixed":[62,87],"signature)":[63],"then":[65],"functor,":[67],"and":[68,92],"corresponding":[70],"function":[72],"natural":[75],"isomorphism.":[76],"trie":[78],"functor":[79],"principle":[82],"definable":[83],"\u2018initial":[86],"point\u2019":[88],"semantics":[89],"Smyth":[91],"Plotkin.":[93],"We":[94],"simplify":[95],"construction,":[97],"however,":[98],"introducing":[100],"\u2018category-cpo\u2019,":[102],"class":[104],"category":[106],"within":[107],"which":[108],"calculations":[109],"can":[110],"retain":[111],"some":[112],"domain-theoretic":[113],"flavor.":[114],"Our":[115],"extends":[119],"easily":[120],"many-sorted":[122],"signatures.":[123]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}