{"id":"https://openalex.org/W2019838596","doi":"https://doi.org/10.1137/0211016","title":"Continuous Data Types","display_name":"Continuous Data Types","publication_year":1982,"publication_date":"1982-05-01","ids":{"openalex":"https://openalex.org/W2019838596","doi":"https://doi.org/10.1137/0211016","mag":"2019838596"},"language":"en","primary_location":{"id":"doi:10.1137/0211016","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0211016","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","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/A5079852749","display_name":"Michael L\u00e9vy","orcid":"https://orcid.org/0000-0001-8778-4714"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"M. R. Levy","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5114017681","display_name":"T. S. E. Maibaum","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"T. S. E. Maibaum","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079852749"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.606,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.8279877,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":"2","first_page":"201","last_page":"216"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9988999962806702,"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":0.9988999962806702,"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":0.9969000220298767,"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/T10142","display_name":"Formal Methods in Verification","score":0.9951000213623047,"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/quotient","display_name":"Quotient","score":0.673107922077179},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5881089568138123},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5731630921363831},{"id":"https://openalex.org/keywords/abstract-data-type","display_name":"Abstract data type","score":0.5663546323776245},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.538996696472168},{"id":"https://openalex.org/keywords/data-type","display_name":"Data type","score":0.5283152461051941},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5048566460609436},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.44071608781814575},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43587058782577515},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4191229045391083},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32128384709358215},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.26417458057403564},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.22542962431907654},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.10780134797096252},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08392101526260376}],"concepts":[{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.673107922077179},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5881089568138123},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5731630921363831},{"id":"https://openalex.org/C175971053","wikidata":"https://www.wikidata.org/wiki/Q827335","display_name":"Abstract data type","level":2,"score":0.5663546323776245},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.538996696472168},{"id":"https://openalex.org/C138958017","wikidata":"https://www.wikidata.org/wiki/Q190087","display_name":"Data type","level":2,"score":0.5283152461051941},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5048566460609436},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.44071608781814575},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43587058782577515},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4191229045391083},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32128384709358215},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.26417458057403564},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.22542962431907654},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.10780134797096252},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08392101526260376},{"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0211016","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0211016","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W2023307455","https://openalex.org/W2027685350","https://openalex.org/W2061786858","https://openalex.org/W2093168888","https://openalex.org/W2148620491"],"related_works":["https://openalex.org/W2101026640","https://openalex.org/W2070511061","https://openalex.org/W1560139384","https://openalex.org/W2063829785","https://openalex.org/W2008557702","https://openalex.org/W803934970","https://openalex.org/W2783157960","https://openalex.org/W2033580006","https://openalex.org/W1545848507","https://openalex.org/W1995840473"],"abstract_inverted_index":{"Data":[0],"types":[1,24,56,74],"can":[2,49],"be":[3,50],"elegantly":[4],"characterized":[5],"as":[6,84],"the":[7,11,15,44,71],"algebraic":[8,41],"quotient":[9,42],"of":[10,18,43,86],"initial":[12,46],"algebra":[13,48],"in":[14],"appropriate":[16,45],"class":[17],"algebras.":[19],"In":[20],"this":[21],"paper,":[22],"data":[23,30,55,88],"whose":[25],"domain":[26],"is":[27,37],"continuous":[28,47,54],"(continuous":[29],"types)":[31],"are":[32,60,67,75],"defined":[33],"and":[34,80],"studied.":[35],"It":[36],"shown":[38],"that":[39],"an":[40],"used":[51],"to":[52,69],"characterize":[53],"when":[57],"certain":[58],"conditions":[59],"satisfied.":[61],"Two":[62],"well-known":[63],"computer":[64],"science":[65],"examples":[66],"presented":[68],"illustrate":[70],"results.":[72],"These":[73],"lists,":[76],"including":[77],"infinite":[78],"lists":[79],"control":[81],"structures":[82],"considered":[83],"operators":[85],"a":[87],"type.":[89]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
