{"id":"https://openalex.org/W1562847240","doi":"https://doi.org/10.1007/3-540-45842-5","title":"Types for Proofs and Programs : International Workshop, TYPES 2000, Durham, UK, December 8-12, 2000 : selected papers","display_name":"Types for Proofs and Programs : International Workshop, TYPES 2000, Durham, UK, December 8-12, 2000 : selected papers","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W1562847240","doi":"https://doi.org/10.1007/3-540-45842-5","mag":"1562847240"},"language":"en","primary_location":{"id":"pmh:oai:aleph.bib-bvb.de:BVB01-009698299","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Konferenzschrift"},"type":"book","indexed_in":[],"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/A5011474946","display_name":"Paul D. Callaghan","orcid":"https://orcid.org/0000-0002-8831-8923"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Paul D. Callaghan","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-8831-8923","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100526321","display_name":"Zhaohui Luo","orcid":"https://orcid.org/0000-0002-3189-3361"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhaohui Luo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047695892","display_name":"James McKinna","orcid":"https://orcid.org/0000-0001-6745-2560"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"James McKinna","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-6745-2560","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5069354082","display_name":"Robert Pollack","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Robert Pollack","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5011474946"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0998,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.54193548,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13523","display_name":"Mathematics, Computing, and Information Processing","score":0.27799999713897705,"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"}},"topics":[{"id":"https://openalex.org/T13523","display_name":"Mathematics, Computing, and Information Processing","score":0.27799999713897705,"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/type-theory","display_name":"Type theory","score":0.8913894891738892},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.8086143136024475},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.7033520936965942},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.6166226863861084},{"id":"https://openalex.org/keywords/proof-assistant","display_name":"Proof assistant","score":0.5657167434692383},{"id":"https://openalex.org/keywords/proof-theory","display_name":"Proof theory","score":0.5584405660629272},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5503435134887695},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.5375335812568665},{"id":"https://openalex.org/keywords/intuitionistic-logic","display_name":"Intuitionistic logic","score":0.5356826782226562},{"id":"https://openalex.org/keywords/constructive-proof","display_name":"Constructive proof","score":0.48199549317359924},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4731370508670807},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4718722701072693},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.4585672616958618},{"id":"https://openalex.org/keywords/computable-analysis","display_name":"Computable analysis","score":0.4518369138240814},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4470866024494171},{"id":"https://openalex.org/keywords/natural-deduction","display_name":"Natural deduction","score":0.4292317032814026},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.419141948223114},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3869464695453644},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24432304501533508},{"id":"https://openalex.org/keywords/computable-function","display_name":"Computable function","score":0.17007896304130554},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.16270485520362854},{"id":"https://openalex.org/keywords/linear-logic","display_name":"Linear logic","score":0.12435758113861084}],"concepts":[{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.8913894891738892},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.8086143136024475},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.7033520936965942},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.6166226863861084},{"id":"https://openalex.org/C203265346","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Proof assistant","level":3,"score":0.5657167434692383},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.5584405660629272},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5503435134887695},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.5375335812568665},{"id":"https://openalex.org/C178421362","wikidata":"https://www.wikidata.org/wiki/Q176786","display_name":"Intuitionistic logic","level":3,"score":0.5356826782226562},{"id":"https://openalex.org/C202854965","wikidata":"https://www.wikidata.org/wiki/Q3044470","display_name":"Constructive proof","level":2,"score":0.48199549317359924},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4731370508670807},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4718722701072693},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.4585672616958618},{"id":"https://openalex.org/C27318111","wikidata":"https://www.wikidata.org/wiki/Q5157264","display_name":"Computable analysis","level":3,"score":0.4518369138240814},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4470866024494171},{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.4292317032814026},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.419141948223114},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3869464695453644},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24432304501533508},{"id":"https://openalex.org/C54271186","wikidata":"https://www.wikidata.org/wiki/Q1148456","display_name":"Computable function","level":2,"score":0.17007896304130554},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.16270485520362854},{"id":"https://openalex.org/C28077239","wikidata":"https://www.wikidata.org/wiki/Q841728","display_name":"Linear logic","level":2,"score":0.12435758113861084},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","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},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:aleph.bib-bvb.de:BVB01-009698299","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Konferenzschrift"},{"id":"pmh:oai:aleph.bib-bvb.de:BVB01-017043169","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45842-5","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"software, multimedia"},{"id":"mag:1562847240","is_oa":false,"landing_page_url":"http://ci.nii.ac.jp/ncid/BA55870093","pdf_url":null,"source":{"id":"https://openalex.org/S4306463937","display_name":"Springer eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"ebook platform"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Springer eBooks","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1544323334","https://openalex.org/W1605621617","https://openalex.org/W1595624409","https://openalex.org/W1585536033","https://openalex.org/W644998418","https://openalex.org/W3101136070","https://openalex.org/W1575026788","https://openalex.org/W1527309160","https://openalex.org/W2002184363","https://openalex.org/W3122736276","https://openalex.org/W21991091","https://openalex.org/W2030843104","https://openalex.org/W2412664318","https://openalex.org/W1858809161","https://openalex.org/W2293933693","https://openalex.org/W1564358023","https://openalex.org/W2995956541","https://openalex.org/W2982918323","https://openalex.org/W635853265","https://openalex.org/W2503378844"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-28T14:05:53.105641","created_date":"2025-10-10T00:00:00"}