{"id":"https://openalex.org/W2148120337","doi":"https://doi.org/10.1017/s0960129500000384","title":"A universality theorem for PCF with recursive types, parallel-or and \u2203","display_name":"A universality theorem for PCF with recursive types, parallel-or and \u2203","publication_year":1994,"publication_date":"1994-03-01","ids":{"openalex":"https://openalex.org/W2148120337","doi":"https://doi.org/10.1017/s0960129500000384","mag":"2148120337"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129500000384","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129500000384","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/A5022583176","display_name":"Thomas Streicher","orcid":"https://orcid.org/0000-0001-6725-0168"},"institutions":[{"id":"https://openalex.org/I8204097","display_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/05591te55","country_code":"DE","type":"education","lineage":["https://openalex.org/I8204097"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Thomas Streicher","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Mathematik und Informatik, c/o Lehrstuhl Prof. Wirsing, Ludwig Maximilian Universit\u00e4t, Leopoldstr. 11b, D-80802 M\u00fcnchen 40, Germany"],"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik und Informatik, c/o Lehrstuhl Prof. Wirsing, Ludwig Maximilian Universit\u00e4t, Leopoldstr. 11b, D-80802 M\u00fcnchen 40, Germany","institution_ids":["https://openalex.org/I8204097"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5022583176"],"corresponding_institution_ids":["https://openalex.org/I8204097"],"apc_list":null,"apc_paid":null,"fwci":0.5451,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.76392114,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"4","issue":"1","first_page":"111","last_page":"115"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9958000183105469,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9922000169754028,"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/mathematics","display_name":"Mathematics","score":0.6271719336509705},{"id":"https://openalex.org/keywords/primitive-recursive-function","display_name":"Primitive recursive function","score":0.5089328289031982},{"id":"https://openalex.org/keywords/universality","display_name":"Universality (dynamical systems)","score":0.4973790943622589},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4873002767562866},{"id":"https://openalex.org/keywords/quantifier","display_name":"Quantifier (linguistics)","score":0.4635109007358551},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.45130667090415955},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.45009854435920715},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3642074167728424},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28723156452178955},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2706409692764282}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6271719336509705},{"id":"https://openalex.org/C9986523","wikidata":"https://www.wikidata.org/wiki/Q1570472","display_name":"Primitive recursive function","level":2,"score":0.5089328289031982},{"id":"https://openalex.org/C183992945","wikidata":"https://www.wikidata.org/wiki/Q2495574","display_name":"Universality (dynamical systems)","level":2,"score":0.4973790943622589},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4873002767562866},{"id":"https://openalex.org/C2778523021","wikidata":"https://www.wikidata.org/wiki/Q5532504","display_name":"Quantifier (linguistics)","level":2,"score":0.4635109007358551},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.45130667090415955},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.45009854435920715},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3642074167728424},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28723156452178955},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2706409692764282},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0960129500000384","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129500000384","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W32954488","https://openalex.org/W1968333039","https://openalex.org/W2007270285","https://openalex.org/W2072497723","https://openalex.org/W2073030937","https://openalex.org/W2530006810","https://openalex.org/W2905135108"],"related_works":["https://openalex.org/W2065095781","https://openalex.org/W2759379989","https://openalex.org/W3115068090","https://openalex.org/W332573842","https://openalex.org/W2359046535","https://openalex.org/W2204741347","https://openalex.org/W2170133876","https://openalex.org/W2911665669","https://openalex.org/W1587914261","https://openalex.org/W2370848225"],"abstract_inverted_index":{"In":[0],"a":[1,7,48,77],"PCF-like":[2],"call-by-name":[3],"typed":[4],"\u03bb-calculus":[5],"with":[6,21],"minimal":[8],"fixpoint":[9],"operator,":[10],"\u2018parallelor\u2019,":[11],"Plotkin's":[12],"\u2018continuous":[13],"existential":[14],"quantifier\u2019":[15],"\u2203":[16],"and":[17,23,104,112],"recursive":[18,84],"types":[19,85],"together":[20],"constructors":[22],"destructors,":[24],"all":[25,66],"computable":[26,67],"objects":[27,68],"can":[28,69],"be":[29,63,71,87],"denoted":[30],"by":[31,73],"terms":[32],"of":[33,60,97,109],"the":[34,55,98,106],"programming":[35,49],"language.":[36],"According":[37],"to":[38],"A.":[39],"Meyer's":[40],"terminology":[41],"(":[42],"cf":[43],".":[44],"Meyer":[45],"(1988)),":[46],"such":[47],"language":[50],"is":[51],"called":[52],"universal":[53],"in":[54,82],"sense":[56],"that":[57],"any":[58],"extension":[59],"it":[61],"must":[62],"conservative,":[64],"as":[65,90,93],"already":[70],"expressed":[72],"program":[74],"terms.":[75],"As":[76],"byproduct,":[78],"we":[79],"get":[80],"that,":[81],"principle,":[83],"could":[86],"totally":[88],"avoided,":[89],"they":[91],"appear":[92],"syntactically":[94],"expressible":[95],"retracts":[96],"non-recursive":[99],"type":[100],"\u2192":[101],",":[102],"where":[103],"are":[105],"flat":[107],"domains":[108],"natural":[110],"numbers":[111],"boolean":[113],"values,":[114],"respectively.":[115]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}