{"id":"https://openalex.org/W2047559512","doi":"https://doi.org/10.1145/1291151.1291161","title":"On Barron and Strachey's cartesian product function","display_name":"On Barron and Strachey's cartesian product function","publication_year":2007,"publication_date":"2007-10-01","ids":{"openalex":"https://openalex.org/W2047559512","doi":"https://doi.org/10.1145/1291151.1291161","mag":"2047559512"},"language":"en","primary_location":{"id":"doi:10.1145/1291151.1291161","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1291151.1291161","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 12th ACM SIGPLAN international conference on Functional programming","raw_type":"proceedings-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/A5016621051","display_name":"Olivier Danvy","orcid":"https://orcid.org/0000-0002-3890-3630"},"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"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Olivier Danvy","raw_affiliation_strings":["University of Aarhus, Aarhus, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Aarhus, Aarhus, Denmark","institution_ids":["https://openalex.org/I204337017"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109566571","display_name":"Michael Z. Spivey","orcid":null},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Michael Spivey","raw_affiliation_strings":["University of Oxford, Oxford, England UK","University of Oxford, Oxford, England,UK#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Oxford, Oxford, England UK","institution_ids":["https://openalex.org/I40120149"]},{"raw_affiliation_string":"University of Oxford, Oxford, England,UK#TAB#","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.3596,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.94245759,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"41","last_page":"46"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9154999852180481,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9154999852180481,"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/T10126","display_name":"Logic, programming, and type systems","score":0.910099983215332,"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/T12119","display_name":"Linguistics and Discourse Analysis","score":0.9052000045776367,"subfield":{"id":"https://openalex.org/subfields/1211","display_name":"Philosophy"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cartesian-product","display_name":"Cartesian product","score":0.7936215400695801},{"id":"https://openalex.org/keywords/pearl","display_name":"Pearl","score":0.6237319111824036},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6036673784255981},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5839892625808716},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5829402208328247},{"id":"https://openalex.org/keywords/scope","display_name":"Scope (computer science)","score":0.5391521453857422},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5170417428016663},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5027008056640625},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.47523951530456543},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.470090389251709},{"id":"https://openalex.org/keywords/power-set","display_name":"Power set","score":0.4467832148075104},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4462338089942932},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34948113560676575},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27157360315322876},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.22847813367843628},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.22834816575050354},{"id":"https://openalex.org/keywords/history","display_name":"History","score":0.12227058410644531}],"concepts":[{"id":"https://openalex.org/C65236422","wikidata":"https://www.wikidata.org/wiki/Q173740","display_name":"Cartesian product","level":2,"score":0.7936215400695801},{"id":"https://openalex.org/C2779251273","wikidata":"https://www.wikidata.org/wiki/Q43436","display_name":"Pearl","level":2,"score":0.6237319111824036},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6036673784255981},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5839892625808716},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5829402208328247},{"id":"https://openalex.org/C2778012447","wikidata":"https://www.wikidata.org/wiki/Q1034415","display_name":"Scope (computer science)","level":2,"score":0.5391521453857422},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5170417428016663},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5027008056640625},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.47523951530456543},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.470090389251709},{"id":"https://openalex.org/C100643331","wikidata":"https://www.wikidata.org/wiki/Q205170","display_name":"Power set","level":3,"score":0.4467832148075104},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4462338089942932},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34948113560676575},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27157360315322876},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.22847813367843628},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.22834816575050354},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.12227058410644531},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"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/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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":2,"locations":[{"id":"doi:10.1145/1291151.1291161","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1291151.1291161","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 12th ACM SIGPLAN international conference on Functional programming","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.atira.dk:publications/6b0284a0-294d-11dc-bee9-02004c4f4f50","is_oa":false,"landing_page_url":"https://pure.au.dk/portal/en/publications/6b0284a0-294d-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 & Spivey, M 2007, On Barron and Strachey's Cartesian Product Function : Possibly the world's first functional pearl. in R Hinze & N Ramsey (eds), Proceedings of the 12th ACM SIGPLAN International Conference\u00a0 on Functional Programming, ICFP 2007. Association for Computing Machinery, pp. 41-46, ICFP 2007: International Conference on Functional Programming, Freiburg, Germany, 01/10/2007. https://doi.org/10.1145/1291151.1291161","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1485271322","https://openalex.org/W1527329108","https://openalex.org/W1556667624","https://openalex.org/W1565899642","https://openalex.org/W1989180326","https://openalex.org/W2077853727","https://openalex.org/W2138452186","https://openalex.org/W2139626883","https://openalex.org/W4411323297"],"related_works":["https://openalex.org/W4243252198","https://openalex.org/W2118300983","https://openalex.org/W2112962394","https://openalex.org/W3137189469","https://openalex.org/W2085500676","https://openalex.org/W1594179826","https://openalex.org/W2365810621","https://openalex.org/W201096900","https://openalex.org/W2464593849","https://openalex.org/W2410967339"],"abstract_inverted_index":{"Over":[0],"forty":[1],"years":[2],"ago,":[3],"David":[4],"Barron":[5],"and":[6,52,55,80],"Christopher":[7],"Strachey":[8],"published":[9],"a":[10,19,26,75,86,99,105],"startlingly":[11],"elegant":[12],"program":[13,38,78,87],"for":[14,41,88],"the":[15,31,62,72,89,108],"Cartesian":[16,109],"product":[17,110],"of":[18,21,30,45,49,74,77,102,107],"list":[20],"lists,":[22],"expressing":[23],"it":[24,58,70],"with":[25],"three":[27],"nested":[28,115],"occurrences":[29],"function":[32,111],"we":[33,56],"now":[34],"call":[35],"foldr.":[36],"This":[37],"is":[39,114],"remarkable":[40],"its":[42,46],"time":[43],"because":[44],"masterful":[47],"display":[48],"higher-order":[50,100],"functions":[51],"lexical":[53],"scope,":[54],"put":[57],"forward":[59],"as":[60,71],"possibly":[61],"first":[63,68],"ever":[64],"functional":[65],"pearl.":[66],"We":[67,94],"characterize":[69],"result":[73],"sequence":[76],"transformations,":[79],"then":[81],"apply":[82],"similar":[83],"transformations":[84],"to":[85],"classical":[90],"power":[91],"set":[92],"example.":[93],"also":[95],"show":[96],"that":[97],"using":[98],"representation":[101],"lists":[103],"allows":[104],"definition":[106],"where":[112],"foldr":[113],"only":[116],"twice.":[117]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}
