{"id":"https://openalex.org/W1512100133","doi":"https://doi.org/10.1007/978-3-540-87531-4_21","title":"A Characterisation of Lambda Definability with Sums Via \u22a4\u2009\u22a4-Closure Operators","display_name":"A Characterisation of Lambda Definability with Sums Via \u22a4\u2009\u22a4-Closure Operators","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W1512100133","doi":"https://doi.org/10.1007/978-3-540-87531-4_21","mag":"1512100133"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-87531-4_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-87531-4_21","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5041431787","display_name":"Shin-ya Katsumata","orcid":"https://orcid.org/0000-0001-7529-5489"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Shin-ya Katsumata","raw_affiliation_strings":["Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606-8502, Japan","Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan 606-8502#TAB#"],"affiliations":[{"raw_affiliation_string":"Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606-8502, Japan","institution_ids":["https://openalex.org/I22299242"]},{"raw_affiliation_string":"Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan 606-8502#TAB#","institution_ids":["https://openalex.org/I22299242"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5041431787"],"corresponding_institution_ids":["https://openalex.org/I22299242"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.2788,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.53251029,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"278","last_page":"292"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9962000250816345,"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":0.9962000250816345,"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":0.9398999810218811,"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":0.9207000136375427,"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/morphism","display_name":"Morphism","score":0.9008188247680664},{"id":"https://openalex.org/keywords/cartesian-closed-category","display_name":"Cartesian closed category","score":0.7771092653274536},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.6896641254425049},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.6306029558181763},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.6279046535491943},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6137991547584534},{"id":"https://openalex.org/keywords/closure-operator","display_name":"Closure operator","score":0.5411284565925598},{"id":"https://openalex.org/keywords/church-encoding","display_name":"Church encoding","score":0.5378066897392273},{"id":"https://openalex.org/keywords/coproduct","display_name":"Coproduct","score":0.52473384141922},{"id":"https://openalex.org/keywords/simply-typed-lambda-calculus","display_name":"Simply typed lambda calculus","score":0.5115922093391418},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.49433016777038574},{"id":"https://openalex.org/keywords/system-f","display_name":"System F","score":0.4766172468662262},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44988495111465454},{"id":"https://openalex.org/keywords/lambda-calculus","display_name":"Lambda calculus","score":0.4449545443058014},{"id":"https://openalex.org/keywords/cartesian-coordinate-system","display_name":"Cartesian coordinate system","score":0.43392032384872437},{"id":"https://openalex.org/keywords/typed-lambda-calculus","display_name":"Typed lambda calculus","score":0.42227011919021606},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.403690367937088},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34948158264160156},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.345188707113266},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1406862735748291},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07327920198440552},{"id":"https://openalex.org/keywords/closed-set","display_name":"Closed set","score":0.06943786144256592}],"concepts":[{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.9008188247680664},{"id":"https://openalex.org/C171032842","wikidata":"https://www.wikidata.org/wiki/Q1725874","display_name":"Cartesian closed category","level":2,"score":0.7771092653274536},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.6896641254425049},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.6306029558181763},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.6279046535491943},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6137991547584534},{"id":"https://openalex.org/C160771489","wikidata":"https://www.wikidata.org/wiki/Q10564851","display_name":"Closure operator","level":3,"score":0.5411284565925598},{"id":"https://openalex.org/C77736955","wikidata":"https://www.wikidata.org/wiki/Q1089708","display_name":"Church encoding","level":5,"score":0.5378066897392273},{"id":"https://openalex.org/C36259021","wikidata":"https://www.wikidata.org/wiki/Q692689","display_name":"Coproduct","level":2,"score":0.52473384141922},{"id":"https://openalex.org/C61237538","wikidata":"https://www.wikidata.org/wiki/Q855192","display_name":"Simply typed lambda calculus","level":4,"score":0.5115922093391418},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.49433016777038574},{"id":"https://openalex.org/C55128367","wikidata":"https://www.wikidata.org/wiki/Q2552799","display_name":"System F","level":3,"score":0.4766172468662262},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44988495111465454},{"id":"https://openalex.org/C135790938","wikidata":"https://www.wikidata.org/wiki/Q242028","display_name":"Lambda calculus","level":2,"score":0.4449545443058014},{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.43392032384872437},{"id":"https://openalex.org/C142156749","wikidata":"https://www.wikidata.org/wiki/Q2607208","display_name":"Typed lambda calculus","level":3,"score":0.42227011919021606},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.403690367937088},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34948158264160156},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.345188707113266},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1406862735748291},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07327920198440552},{"id":"https://openalex.org/C164953516","wikidata":"https://www.wikidata.org/wiki/Q320357","display_name":"Closed set","level":2,"score":0.06943786144256592},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","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/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-87531-4_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-87531-4_21","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.5199999809265137,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W583126019","https://openalex.org/W649848373","https://openalex.org/W1487721031","https://openalex.org/W1507465323","https://openalex.org/W1520893111","https://openalex.org/W1535796526","https://openalex.org/W1539402181","https://openalex.org/W1581728838","https://openalex.org/W1586093680","https://openalex.org/W1591846509","https://openalex.org/W1808214913","https://openalex.org/W1859811486","https://openalex.org/W1956373135","https://openalex.org/W1973559574","https://openalex.org/W1976673631","https://openalex.org/W1979366339","https://openalex.org/W2034606068","https://openalex.org/W2049362364","https://openalex.org/W2095436832","https://openalex.org/W2114701904","https://openalex.org/W2132638915","https://openalex.org/W2132936218","https://openalex.org/W2133081191","https://openalex.org/W2134692477","https://openalex.org/W2135434676","https://openalex.org/W2137018233","https://openalex.org/W2140892577","https://openalex.org/W2145224393","https://openalex.org/W2149412346","https://openalex.org/W2330548796","https://openalex.org/W2579582130","https://openalex.org/W2796564118","https://openalex.org/W2911865844","https://openalex.org/W4212824019","https://openalex.org/W4214621180"],"related_works":["https://openalex.org/W2761902706","https://openalex.org/W2114151019","https://openalex.org/W2189323991","https://openalex.org/W3123171335","https://openalex.org/W4205386752","https://openalex.org/W1595139175","https://openalex.org/W2146437601","https://openalex.org/W4309957002","https://openalex.org/W2114701904","https://openalex.org/W1512100133"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
