{"id":"https://openalex.org/W1986661643","doi":"https://doi.org/10.1017/s0956796801004166","title":"Normalization by evaluation with typed abstract syntax","display_name":"Normalization by evaluation with typed abstract syntax","publication_year":2001,"publication_date":"2001-11-01","ids":{"openalex":"https://openalex.org/W1986661643","doi":"https://doi.org/10.1017/s0956796801004166","mag":"1986661643"},"language":"en","primary_location":{"id":"doi:10.1017/s0956796801004166","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0956796801004166","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/EB9C84EDC74834E940111BC94D2E0481/S0956796801004166a.pdf/div-class-title-normalization-by-evaluation-with-typed-abstract-syntax-div.pdf","source":{"id":"https://openalex.org/S12266929","display_name":"Journal of Functional Programming","issn_l":"0956-7968","issn":["0956-7968","1469-7653"],"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":"Journal of Functional Programming","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/EB9C84EDC74834E940111BC94D2E0481/S0956796801004166a.pdf/div-class-title-normalization-by-evaluation-with-typed-abstract-syntax-div.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016621051","display_name":"Olivier Danvy","orcid":"https://orcid.org/0000-0002-3890-3630"},"institutions":[{"id":"https://openalex.org/I4210087405","display_name":"Danish National Research Foundation","ror":"https://ror.org/00znyv691","country_code":"DK","type":"nonprofit","lineage":["https://openalex.org/I4210087405"]},{"id":"https://openalex.org/I204337017","display_name":"Aarhus University","ror":"https://ror.org/01aj84f44","country_code":"DK","type":"education","lineage":["https://openalex.org/I204337017"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"OLIVIER DANVY","raw_affiliation_strings":["BRICS","Basic Research in Computer Science (www.brics.dk), funded by the Danish National Research Foundation","Department of Computer Science, University of Aarhus, Ny Munkegade, Building 540, DK-8000 Aarhus C, Denmark; (e-mail:",", Department of Computer Science, University of Aarhus, Ny Munkegade, Building 540, DK-8000 Aarhus C, Denmark"],"affiliations":[{"raw_affiliation_string":"BRICS","institution_ids":[]},{"raw_affiliation_string":"Basic Research in Computer Science (www.brics.dk), funded by the Danish National Research Foundation","institution_ids":["https://openalex.org/I4210087405"]},{"raw_affiliation_string":"Department of Computer Science, University of Aarhus, Ny Munkegade, Building 540, DK-8000 Aarhus C, Denmark; (e-mail:","institution_ids":["https://openalex.org/I204337017"]},{"raw_affiliation_string":", Department of Computer Science, University of Aarhus, Ny Munkegade, Building 540, DK-8000 Aarhus C, Denmark","institution_ids":["https://openalex.org/I204337017"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059142395","display_name":"Morten Rhiger","orcid":"https://orcid.org/0009-0001-0268-0842"},"institutions":[{"id":"https://openalex.org/I204337017","display_name":"Aarhus University","ror":"https://ror.org/01aj84f44","country_code":"DK","type":"education","lineage":["https://openalex.org/I204337017"]},{"id":"https://openalex.org/I4210087405","display_name":"Danish National Research Foundation","ror":"https://ror.org/00znyv691","country_code":"DK","type":"nonprofit","lineage":["https://openalex.org/I4210087405"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"MORTEN RHIGER","raw_affiliation_strings":["BRICS","Basic Research in Computer Science (www.brics.dk), funded by the Danish National Research Foundation","Department of Computer Science, University of Aarhus, Ny Munkegade, Building 540, DK-8000 Aarhus C, Denmark; (e-mail:",", Department of Computer Science, University of Aarhus, Ny Munkegade, Building 540, DK-8000 Aarhus C, Denmark"],"affiliations":[{"raw_affiliation_string":"BRICS","institution_ids":[]},{"raw_affiliation_string":"Basic Research in Computer Science (www.brics.dk), funded by the Danish National Research Foundation","institution_ids":["https://openalex.org/I4210087405"]},{"raw_affiliation_string":"Department of Computer Science, University of Aarhus, Ny Munkegade, Building 540, DK-8000 Aarhus C, Denmark; (e-mail:","institution_ids":["https://openalex.org/I204337017"]},{"raw_affiliation_string":", Department of Computer Science, University of Aarhus, Ny Munkegade, Building 540, DK-8000 Aarhus C, Denmark","institution_ids":["https://openalex.org/I204337017"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081115484","display_name":"Kristoffer H. Rose","orcid":null},"institutions":[{"id":"https://openalex.org/I4210114115","display_name":"IBM Research - Thomas J. Watson Research Center","ror":"https://ror.org/0265w5591","country_code":"US","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115"]},{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"KRISTOFFER H. ROSE","raw_affiliation_strings":["IBM T. J. Watson Research Center, 30 Saw Mill River Road, Hawthorne, NY 10532, USA; (e-mail:","IBM T. J. Watson Research Center, 30 Saw Mill River Road, Hawthorne, NY 10532, USA"],"affiliations":[{"raw_affiliation_string":"IBM T. J. Watson Research Center, 30 Saw Mill River Road, Hawthorne, NY 10532, USA; (e-mail:","institution_ids":["https://openalex.org/I1341412227","https://openalex.org/I4210114115"]},{"raw_affiliation_string":"IBM T. J. Watson Research Center, 30 Saw Mill River Road, Hawthorne, NY 10532, USA","institution_ids":["https://openalex.org/I1341412227"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5016621051"],"corresponding_institution_ids":["https://openalex.org/I204337017","https://openalex.org/I4210087405"],"apc_list":null,"apc_paid":null,"fwci":10.9024,"has_fulltext":true,"cited_by_count":30,"citation_normalized_percentile":{"value":0.98106243,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"11","issue":"6","first_page":"673","last_page":"680"},"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":0.996999979019165,"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":0.9932000041007996,"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/computer-science","display_name":"Computer science","score":0.8745386004447937},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.7757480144500732},{"id":"https://openalex.org/keywords/haskell","display_name":"Haskell","score":0.7606946229934692},{"id":"https://openalex.org/keywords/abstract-syntax","display_name":"Abstract syntax","score":0.7400699853897095},{"id":"https://openalex.org/keywords/syntax","display_name":"Syntax","score":0.6511969566345215},{"id":"https://openalex.org/keywords/abstract-syntax-tree","display_name":"Abstract syntax tree","score":0.6510754227638245},{"id":"https://openalex.org/keywords/concreteness","display_name":"Concreteness","score":0.5563889741897583},{"id":"https://openalex.org/keywords/object-language","display_name":"Object language","score":0.4785485863685608},{"id":"https://openalex.org/keywords/compiler","display_name":"Compiler","score":0.46115848422050476},{"id":"https://openalex.org/keywords/normalization","display_name":"Normalization (sociology)","score":0.4443165957927704},{"id":"https://openalex.org/keywords/natural-language-processing","display_name":"Natural language processing","score":0.38419508934020996},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.3500277101993561},{"id":"https://openalex.org/keywords/functional-programming","display_name":"Functional programming","score":0.20143097639083862},{"id":"https://openalex.org/keywords/natural-language","display_name":"Natural language","score":0.15924564003944397},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.08287686109542847}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8745386004447937},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.7757480144500732},{"id":"https://openalex.org/C2780624054","wikidata":"https://www.wikidata.org/wiki/Q34010","display_name":"Haskell","level":3,"score":0.7606946229934692},{"id":"https://openalex.org/C114408938","wikidata":"https://www.wikidata.org/wiki/Q333373","display_name":"Abstract syntax","level":3,"score":0.7400699853897095},{"id":"https://openalex.org/C60048249","wikidata":"https://www.wikidata.org/wiki/Q37437","display_name":"Syntax","level":2,"score":0.6511969566345215},{"id":"https://openalex.org/C58646249","wikidata":"https://www.wikidata.org/wiki/Q127380","display_name":"Abstract syntax tree","level":3,"score":0.6510754227638245},{"id":"https://openalex.org/C2778436841","wikidata":"https://www.wikidata.org/wiki/Q5159081","display_name":"Concreteness","level":2,"score":0.5563889741897583},{"id":"https://openalex.org/C185954173","wikidata":"https://www.wikidata.org/wiki/Q4347052","display_name":"Object language","level":3,"score":0.4785485863685608},{"id":"https://openalex.org/C169590947","wikidata":"https://www.wikidata.org/wiki/Q47506","display_name":"Compiler","level":2,"score":0.46115848422050476},{"id":"https://openalex.org/C136886441","wikidata":"https://www.wikidata.org/wiki/Q926129","display_name":"Normalization (sociology)","level":2,"score":0.4443165957927704},{"id":"https://openalex.org/C204321447","wikidata":"https://www.wikidata.org/wiki/Q30642","display_name":"Natural language processing","level":1,"score":0.38419508934020996},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.3500277101993561},{"id":"https://openalex.org/C42383842","wikidata":"https://www.wikidata.org/wiki/Q193076","display_name":"Functional programming","level":2,"score":0.20143097639083862},{"id":"https://openalex.org/C195324797","wikidata":"https://www.wikidata.org/wiki/Q33742","display_name":"Natural language","level":2,"score":0.15924564003944397},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.08287686109542847},{"id":"https://openalex.org/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C180747234","wikidata":"https://www.wikidata.org/wiki/Q23373","display_name":"Cognitive psychology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1017/s0956796801004166","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0956796801004166","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/EB9C84EDC74834E940111BC94D2E0481/S0956796801004166a.pdf/div-class-title-normalization-by-evaluation-with-typed-abstract-syntax-div.pdf","source":{"id":"https://openalex.org/S12266929","display_name":"Journal of Functional Programming","issn_l":"0956-7968","issn":["0956-7968","1469-7653"],"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":"Journal of Functional Programming","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:publications/1fd3cc12-3688-48c5-9b49-0625680bcc64","is_oa":false,"landing_page_url":"https://pure.au.dk/portal/en/publications/1fd3cc12-3688-48c5-9b49-0625680bcc64","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Danvy, O, Rhiger, M & Rose, K H 2001, 'Normalization by evaluation with typed abstract syntax', Journal of Functional Programming, pp. 673-680. https://doi.org/10.1017/S0956796801004166","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:pure.atira.dk:publications/6d641640-9825-11dc-bee9-02004c4f4f50","is_oa":false,"landing_page_url":"https://pure.au.dk/portal/en/publications/6d641640-9825-11dc-bee9-02004c4f4f50","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Danvy, O, Rhiger, M & Rose, K H 2001, 'Normalization by Evaluation with Typed Abstract Syntax', BRICS Report Series, no. RS-01-16.","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1017/s0956796801004166","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0956796801004166","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/EB9C84EDC74834E940111BC94D2E0481/S0956796801004166a.pdf/div-class-title-normalization-by-evaluation-with-typed-abstract-syntax-div.pdf","source":{"id":"https://openalex.org/S12266929","display_name":"Journal of Functional Programming","issn_l":"0956-7968","issn":["0956-7968","1469-7653"],"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":"Journal of Functional Programming","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","score":0.6600000262260437,"display_name":"Quality Education"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320309398","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055"},{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320320943","display_name":"Danmarks Grundforskningsfond","ror":"https://ror.org/00znyv691"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1986661643.pdf","grobid_xml":"https://content.openalex.org/works/W1986661643.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W76858040","https://openalex.org/W990876026","https://openalex.org/W1513749726","https://openalex.org/W1517093898","https://openalex.org/W1544361253","https://openalex.org/W1562483556","https://openalex.org/W1765415708","https://openalex.org/W1783167788","https://openalex.org/W1986661643","https://openalex.org/W2009464583","https://openalex.org/W2020747436","https://openalex.org/W2038218207","https://openalex.org/W2089424085","https://openalex.org/W2102151984","https://openalex.org/W2127791900","https://openalex.org/W2136362271","https://openalex.org/W2141636159","https://openalex.org/W2145287505","https://openalex.org/W2167075594","https://openalex.org/W2399951213","https://openalex.org/W2498935101","https://openalex.org/W3004785238","https://openalex.org/W4237428230","https://openalex.org/W4239195444"],"related_works":["https://openalex.org/W2192862863","https://openalex.org/W2952185493","https://openalex.org/W1551673055","https://openalex.org/W4247754322","https://openalex.org/W2898994992","https://openalex.org/W912921199","https://openalex.org/W2021785487","https://openalex.org/W4246531319","https://openalex.org/W2373537637","https://openalex.org/W1986661643"],"abstract_inverted_index":{"In":[0],"higher-order":[1],"abstract":[2],"syntax,":[3],"the":[4,24],"variables":[5,15],"and":[6,16,31,42],"bindings":[7,17],"of":[8,18],"an":[9],"object":[10,29],"language":[11,30],"are":[12],"represented":[13],"by":[14],"a":[19],"meta-language.":[20,34],"Let":[21],"us":[22],"consider":[23],"simply":[25],"typed":[26],"\u03bb-calculus":[27],"as":[28,33],"Haskell":[32],"For":[35],"concreteness,":[36],"we":[37],"also":[38],"throw":[39],"in":[40,46],"integers":[41],"addition,":[43],"but":[44],"only":[45],"this":[47],"section.":[48]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"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"}