{"id":"https://openalex.org/W2052774369","doi":"https://doi.org/10.1017/s0960129512001004","title":"An operational domain-theoretic treatment of recursive types","display_name":"An operational domain-theoretic treatment of recursive types","publication_year":2013,"publication_date":"2013-03-19","ids":{"openalex":"https://openalex.org/W2052774369","doi":"https://doi.org/10.1017/s0960129512001004","mag":"2052774369"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129512001004","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129512001004","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/A5089519579","display_name":"Weng Kin Ho","orcid":"https://orcid.org/0000-0002-4585-9340"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"WENG KIN HO","raw_affiliation_strings":["Mathematics and Mathematics Education, National Institute of Education, Nanyang Technological University, 1, Nanyang Walk, Singapore 637616, Singapore Email:","Nanyang Technological University"],"affiliations":[{"raw_affiliation_string":"Mathematics and Mathematics Education, National Institute of Education, Nanyang Technological University, 1, Nanyang Walk, Singapore 637616, Singapore Email:","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Nanyang Technological University","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5089519579"],"corresponding_institution_ids":["https://openalex.org/I172675005"],"apc_list":null,"apc_paid":null,"fwci":0.4944,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.76580259,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"24","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9994999766349792,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9994999766349792,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9782999753952026,"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":0.9144999980926514,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/operational-semantics","display_name":"Operational semantics","score":0.6684781908988953},{"id":"https://openalex.org/keywords/domain-theory","display_name":"Domain theory","score":0.618181586265564},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.585737407207489},{"id":"https://openalex.org/keywords/functor","display_name":"Functor","score":0.5659306645393372},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5397198796272278},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47828468680381775},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.47393113374710083},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4567791521549225},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4522259533405304},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4510974586009979},{"id":"https://openalex.org/keywords/principal","display_name":"Principal (computer security)","score":0.4360150396823883},{"id":"https://openalex.org/keywords/type-theory","display_name":"Type theory","score":0.4290422201156616},{"id":"https://openalex.org/keywords/algebraic-operation","display_name":"Algebraic operation","score":0.4197835922241211},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.419342577457428},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.39507901668548584},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38117527961730957},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.28545188903808594},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.28113341331481934},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.25742876529693604},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.09489738941192627}],"concepts":[{"id":"https://openalex.org/C156325763","wikidata":"https://www.wikidata.org/wiki/Q1930895","display_name":"Operational semantics","level":3,"score":0.6684781908988953},{"id":"https://openalex.org/C29585364","wikidata":"https://www.wikidata.org/wiki/Q1079166","display_name":"Domain theory","level":2,"score":0.618181586265564},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.585737407207489},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.5659306645393372},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5397198796272278},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47828468680381775},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.47393113374710083},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4567791521549225},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4522259533405304},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4510974586009979},{"id":"https://openalex.org/C144559511","wikidata":"https://www.wikidata.org/wiki/Q2986279","display_name":"Principal (computer security)","level":2,"score":0.4360150396823883},{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.4290422201156616},{"id":"https://openalex.org/C136003732","wikidata":"https://www.wikidata.org/wiki/Q3854337","display_name":"Algebraic operation","level":3,"score":0.4197835922241211},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.419342577457428},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.39507901668548584},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38117527961730957},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.28545188903808594},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.28113341331481934},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.25742876529693604},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.09489738941192627},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"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/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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1017/s0960129512001004","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129512001004","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:CiteSeerX.psu:10.1.1.103.8806","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.103.8806","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.bham.ac.uk/~wkh/papers/mfps22/oprecfinal.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.521.5091","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.521.5091","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://math.nie.edu.sg/wkho/Research/My publications/CS applications/oprecfinal.pdf","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":34,"referenced_works":["https://openalex.org/W79336753","https://openalex.org/W102024464","https://openalex.org/W646836675","https://openalex.org/W1512931629","https://openalex.org/W1515039666","https://openalex.org/W1525647423","https://openalex.org/W1539402181","https://openalex.org/W1566009901","https://openalex.org/W1743575065","https://openalex.org/W1986227685","https://openalex.org/W2007270285","https://openalex.org/W2015640848","https://openalex.org/W2060852846","https://openalex.org/W2062233055","https://openalex.org/W2069709605","https://openalex.org/W2092367588","https://openalex.org/W2101254143","https://openalex.org/W2117183817","https://openalex.org/W2120713972","https://openalex.org/W2131749807","https://openalex.org/W2134181241","https://openalex.org/W2141746484","https://openalex.org/W2146255646","https://openalex.org/W2158542561","https://openalex.org/W2290372454","https://openalex.org/W2650831125","https://openalex.org/W2990518766","https://openalex.org/W4206180205","https://openalex.org/W4210839962","https://openalex.org/W4211080362","https://openalex.org/W4285719527","https://openalex.org/W4388310379","https://openalex.org/W6603250414","https://openalex.org/W6630670407"],"related_works":["https://openalex.org/W2036375467","https://openalex.org/W3036972880","https://openalex.org/W2126542638","https://openalex.org/W1965763876","https://openalex.org/W2374055244","https://openalex.org/W1966054964","https://openalex.org/W848138105","https://openalex.org/W4200558465","https://openalex.org/W1929699059","https://openalex.org/W1599641482"],"abstract_inverted_index":{"We":[0],"develop":[1],"an":[2,73],"operational":[3,51,74,87],"domain":[4,23],"theory":[5,24],"for":[6,44,81],"treating":[7],"recursive":[8,32],"types":[9,33],"with":[10,49],"respect":[11],"to":[12,57],"contextual":[13],"equivalence.":[14],"The":[15],"principal":[16],"approach":[17],"we":[18,27,41,63,70,83],"take":[19],"deviates":[20],"from":[21],"classical":[22],"in":[25],"that":[26],"do":[28,68],"not":[29],"produce":[30],"the":[31,35,50,77],"using":[34],"usual":[36],"inverse":[37],"limits":[38],"constructions":[39],"\u2013":[40],"get":[42],"them":[43],"free":[45],"by":[46],"working":[47],"directly":[48],"semantics.":[52],"By":[53],"extending":[54],"type":[55],"expressions":[56],"functors":[58],"between":[59],"some":[60],"\u2018syntactic\u2019":[61],"categories,":[62],"establish":[64],"algebraic":[65],"compactness.":[66],"To":[67],"this,":[69],"rely":[71],"on":[72],"version":[75],"of":[76],"minimal":[78],"invariance":[79],"property,":[80],"which":[82],"give":[84],"a":[85],"purely":[86],"proof.":[88]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
