{"id":"https://openalex.org/W2145682273","doi":"https://doi.org/10.1007/978-3-642-39212-2_36","title":"Proof Systems for Retracts in Simply Typed Lambda Calculus","display_name":"Proof Systems for Retracts in Simply Typed Lambda Calculus","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2145682273","doi":"https://doi.org/10.1007/978-3-642-39212-2_36","mag":"2145682273"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-39212-2_36","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-39212-2_36","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":true,"oa_status":"green","oa_url":"https://www.research.ed.ac.uk/en/publications/79ed3ca6-bd3c-4e35-beda-cd7597f8fda2","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112222674","display_name":"Colin Stirling","orcid":null},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Colin Stirling","raw_affiliation_strings":["School of Informatics, University of Edinburgh, UK"],"affiliations":[{"raw_affiliation_string":"School of Informatics, University of Edinburgh, UK","institution_ids":["https://openalex.org/I98677209"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5112222674"],"corresponding_institution_ids":["https://openalex.org/I98677209"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.3542,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.83135651,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"398","last_page":"409"},"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":0.996399998664856,"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":0.9675999879837036,"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/typed-lambda-calculus","display_name":"Typed lambda calculus","score":0.8321422338485718},{"id":"https://openalex.org/keywords/simply-typed-lambda-calculus","display_name":"Simply typed lambda calculus","score":0.8149645328521729},{"id":"https://openalex.org/keywords/lambda-calculus","display_name":"Lambda calculus","score":0.5904718041419983},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.587824821472168},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.585923433303833},{"id":"https://openalex.org/keywords/retract","display_name":"Retract","score":0.5629319548606873},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.5590128898620605},{"id":"https://openalex.org/keywords/system-f","display_name":"System F","score":0.5461772680282593},{"id":"https://openalex.org/keywords/church-encoding","display_name":"Church encoding","score":0.5320829749107361},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5150780081748962},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.48153382539749146},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3346478343009949},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2565268874168396},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2011551558971405},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.0680953860282898},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05750924348831177},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.04512643814086914}],"concepts":[{"id":"https://openalex.org/C142156749","wikidata":"https://www.wikidata.org/wiki/Q2607208","display_name":"Typed lambda calculus","level":3,"score":0.8321422338485718},{"id":"https://openalex.org/C61237538","wikidata":"https://www.wikidata.org/wiki/Q855192","display_name":"Simply typed lambda calculus","level":4,"score":0.8149645328521729},{"id":"https://openalex.org/C135790938","wikidata":"https://www.wikidata.org/wiki/Q242028","display_name":"Lambda calculus","level":2,"score":0.5904718041419983},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.587824821472168},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.585923433303833},{"id":"https://openalex.org/C2776055716","wikidata":"https://www.wikidata.org/wiki/Q7316893","display_name":"Retract","level":2,"score":0.5629319548606873},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.5590128898620605},{"id":"https://openalex.org/C55128367","wikidata":"https://www.wikidata.org/wiki/Q2552799","display_name":"System F","level":3,"score":0.5461772680282593},{"id":"https://openalex.org/C77736955","wikidata":"https://www.wikidata.org/wiki/Q1089708","display_name":"Church encoding","level":5,"score":0.5320829749107361},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5150780081748962},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.48153382539749146},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3346478343009949},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2565268874168396},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2011551558971405},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0680953860282898},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05750924348831177},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.04512643814086914},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-642-39212-2_36","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-39212-2_36","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.308.7778","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.308.7778","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://homepages.inf.ed.ac.uk/cps/ret.pdf","raw_type":"text"},{"id":"pmh:oai:pure.ed.ac.uk:openaire/79ed3ca6-bd3c-4e35-beda-cd7597f8fda2","is_oa":true,"landing_page_url":"https://www.research.ed.ac.uk/en/publications/79ed3ca6-bd3c-4e35-beda-cd7597f8fda2","pdf_url":null,"source":{"id":"https://openalex.org/S4406922455","display_name":"Edinburgh Research Explorer","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Stirling, C 2013, Proof Systems for Retracts in Simply Typed Lambda Calculus. in F V Fomin, R Freivalds, M Kwiatkowska & D Peleg (eds), Automata, Languages, and Programming : 40th International Colloquium, ICALP 2013, Riga, Latvia, July 8-12, 2013, Proceedings, Part II. Lecture Notes in Computer Science, vol. 7966, pp. 398-409. https://doi.org/10.1007/978-3-642-39212-2_36","raw_type":"contributionToPeriodical"},{"id":"pmh:oai:pure.ed.ac.uk:publications/79ed3ca6-bd3c-4e35-beda-cd7597f8fda2","is_oa":false,"landing_page_url":"http://hdl.handle.net/20.500.11820/79ed3ca6-bd3c-4e35-beda-cd7597f8fda2","pdf_url":null,"source":{"id":"https://openalex.org/S4406922455","display_name":"Edinburgh Research Explorer","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"pmh:oai:pure.ed.ac.uk:openaire/79ed3ca6-bd3c-4e35-beda-cd7597f8fda2","is_oa":true,"landing_page_url":"https://www.research.ed.ac.uk/en/publications/79ed3ca6-bd3c-4e35-beda-cd7597f8fda2","pdf_url":null,"source":{"id":"https://openalex.org/S4406922455","display_name":"Edinburgh Research Explorer","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Stirling, C 2013, Proof Systems for Retracts in Simply Typed Lambda Calculus. in F V Fomin, R Freivalds, M Kwiatkowska & D Peleg (eds), Automata, Languages, and Programming : 40th International Colloquium, ICALP 2013, Riga, Latvia, July 8-12, 2013, Proceedings, Part II. Lecture Notes in Computer Science, vol. 7966, pp. 398-409. https://doi.org/10.1007/978-3-642-39212-2_36","raw_type":"contributionToPeriodical"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.8100000023841858}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1554938010","https://openalex.org/W1586093680","https://openalex.org/W1718895413","https://openalex.org/W1819144183","https://openalex.org/W1867645899","https://openalex.org/W2044758536","https://openalex.org/W2070236869","https://openalex.org/W2109614555","https://openalex.org/W2123592035","https://openalex.org/W2125432479","https://openalex.org/W2126489583","https://openalex.org/W2138308600","https://openalex.org/W2160173874","https://openalex.org/W2164822567","https://openalex.org/W2295746581","https://openalex.org/W3082353674","https://openalex.org/W3098302809","https://openalex.org/W3100465930","https://openalex.org/W4388310127"],"related_works":["https://openalex.org/W1595139175","https://openalex.org/W2114151019","https://openalex.org/W2373977992","https://openalex.org/W1633106243","https://openalex.org/W2101274322","https://openalex.org/W4281982925","https://openalex.org/W62459810","https://openalex.org/W2276378996","https://openalex.org/W2785405191","https://openalex.org/W2269461476"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
