{"id":"https://openalex.org/W2056487150","doi":"https://doi.org/10.1007/bf01995104","title":"The paradox of trees in type theory","display_name":"The paradox of trees in type theory","publication_year":1992,"publication_date":"1992-03-01","ids":{"openalex":"https://openalex.org/W2056487150","doi":"https://doi.org/10.1007/bf01995104","mag":"2056487150"},"language":"en","primary_location":{"id":"doi:10.1007/bf01995104","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01995104","pdf_url":null,"source":{"id":"https://openalex.org/S125499977","display_name":"BIT Numerical Mathematics","issn_l":"0006-3835","issn":["0006-3835","1572-9125"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BIT","raw_type":"journal-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/A5087100539","display_name":"Thierry Coquand","orcid":"https://orcid.org/0000-0002-5429-5153"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["FR","SE"],"is_corresponding":true,"raw_author_name":"Thierry Coquand","raw_affiliation_strings":["INRIA, Domaine de Voluceau-Rocquencourt, B.P. 105, 78153, Le Chesnay-Cedex, France","University of G\u00f6teborg/Chalmers, S-41296, G\u00f6teborg, Sweden"],"affiliations":[{"raw_affiliation_string":"INRIA, Domaine de Voluceau-Rocquencourt, B.P. 105, 78153, Le Chesnay-Cedex, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"University of G\u00f6teborg/Chalmers, S-41296, G\u00f6teborg, Sweden","institution_ids":["https://openalex.org/I66862912"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5087100539"],"corresponding_institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I66862912"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.1161,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.81920536,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"32","issue":"1","first_page":"10","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9937000274658203,"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":0.9750000238418579,"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","display_name":"Type (biology)","score":0.767269492149353},{"id":"https://openalex.org/keywords/type-theory","display_name":"Type theory","score":0.7364018559455872},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.49530139565467834},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4754454791545868},{"id":"https://openalex.org/keywords/order-type","display_name":"Order type","score":0.46023181080818176},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44455063343048096},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4129628837108612},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4019358456134796},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3222089409828186},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.19480738043785095},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.19386860728263855},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06787183880805969},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.06586802005767822},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.06031033396720886}],"concepts":[{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.767269492149353},{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.7364018559455872},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.49530139565467834},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4754454791545868},{"id":"https://openalex.org/C138890893","wikidata":"https://www.wikidata.org/wiki/Q620006","display_name":"Order type","level":2,"score":0.46023181080818176},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44455063343048096},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4129628837108612},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4019358456134796},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3222089409828186},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.19480738043785095},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.19386860728263855},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06787183880805969},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.06586802005767822},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.06031033396720886},{"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bf01995104","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01995104","pdf_url":null,"source":{"id":"https://openalex.org/S125499977","display_name":"BIT Numerical Mathematics","issn_l":"0006-3835","issn":["0006-3835","1572-9125"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BIT","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.39.1953","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.39.1953","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.chalmers.se/~coquand/./tree.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W569543113","https://openalex.org/W1498439614","https://openalex.org/W1536208674","https://openalex.org/W2114705282","https://openalex.org/W2169065169"],"related_works":["https://openalex.org/W3083301185","https://openalex.org/W4306816010","https://openalex.org/W2170599098","https://openalex.org/W2787703111","https://openalex.org/W2340858455","https://openalex.org/W2163980057","https://openalex.org/W4225424606","https://openalex.org/W4306353309","https://openalex.org/W4386614239","https://openalex.org/W4283575722"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
