{"id":"https://openalex.org/W2046255686","doi":"https://doi.org/10.1007/s10817-009-9117-x","title":"An Intuitionistic Proof of a Discrete Form of the Jordan Curve Theorem Formalized in Coq with Combinatorial Hypermaps","display_name":"An Intuitionistic Proof of a Discrete Form of the Jordan Curve Theorem Formalized in Coq with Combinatorial Hypermaps","publication_year":2009,"publication_date":"2009-03-05","ids":{"openalex":"https://openalex.org/W2046255686","doi":"https://doi.org/10.1007/s10817-009-9117-x","mag":"2046255686"},"language":"en","primary_location":{"id":"doi:10.1007/s10817-009-9117-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10817-009-9117-x","pdf_url":null,"source":{"id":"https://openalex.org/S99781599","display_name":"Journal of Automated Reasoning","issn_l":"0168-7433","issn":["0168-7433","1573-0670"],"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":"Journal of Automated Reasoning","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/A5110245167","display_name":"Jean\u2010Fran\u00e7ois Dufourd","orcid":null},"institutions":[{"id":"https://openalex.org/I4210100283","display_name":"Laboratoire des Sciences de l'Ing\u00e9nieur, de l'Informatique et de l'Imagerie","ror":"https://ror.org/00k4e5n71","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2801509770","https://openalex.org/I4210095849","https://openalex.org/I4210100283","https://openalex.org/I4210159245","https://openalex.org/I68947357"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I68947357","display_name":"Universit\u00e9 de Strasbourg","ror":"https://ror.org/00pg6eq24","country_code":"FR","type":"education","lineage":["https://openalex.org/I68947357"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jean-Fran\u00e7ois Dufourd","raw_affiliation_strings":["UFR de Math\u00e9matique et d\u2019Informatique, Laboratoire des Sciences de l\u2019Image, de l\u2019Informatique et de la T\u00e9l\u00e9d\u00e9tection (UMR CNRS-ULP 7005), Universit\u00e9 de Strasbourg, P\u00f4le API, Boulevard S\u00e9bastien Brant, 67400, Illkirch, France","UFR de Math\u00e9matique et d'Informatique, Laboratoire des Sciences de l'Image, de l'Informatique et de la T\u00e9l\u00e9d\u00e9tection (UMR CNRS-ULP 7005), Universit\u00e9 de Strasbourg, Illkirc ...#TAB#"],"affiliations":[{"raw_affiliation_string":"UFR de Math\u00e9matique et d\u2019Informatique, Laboratoire des Sciences de l\u2019Image, de l\u2019Informatique et de la T\u00e9l\u00e9d\u00e9tection (UMR CNRS-ULP 7005), Universit\u00e9 de Strasbourg, P\u00f4le API, Boulevard S\u00e9bastien Brant, 67400, Illkirch, France","institution_ids":["https://openalex.org/I4210100283","https://openalex.org/I68947357","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"UFR de Math\u00e9matique et d'Informatique, Laboratoire des Sciences de l'Image, de l'Informatique et de la T\u00e9l\u00e9d\u00e9tection (UMR CNRS-ULP 7005), Universit\u00e9 de Strasbourg, Illkirc ...#TAB#","institution_ids":["https://openalex.org/I68947357"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5110245167"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210100283","https://openalex.org/I68947357"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.3098,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.81945227,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"43","issue":"1","first_page":"19","last_page":"51"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9810000061988831,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9417999982833862,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.6600063443183899},{"id":"https://openalex.org/keywords/proof-assistant","display_name":"Proof assistant","score":0.5885891914367676},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.5463169813156128},{"id":"https://openalex.org/keywords/planarity-testing","display_name":"Planarity testing","score":0.5074984431266785},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5053939819335938},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.495425820350647},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.4675072133541107},{"id":"https://openalex.org/keywords/intuitionistic-logic","display_name":"Intuitionistic logic","score":0.44217798113822937},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4210798144340515},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34817641973495483},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.344811350107193},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3443121016025543},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.23107004165649414},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.20131108164787292},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14975783228874207},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1423313021659851},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0802023708820343}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6600063443183899},{"id":"https://openalex.org/C203265346","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Proof assistant","level":3,"score":0.5885891914367676},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.5463169813156128},{"id":"https://openalex.org/C68260962","wikidata":"https://www.wikidata.org/wiki/Q7200967","display_name":"Planarity testing","level":2,"score":0.5074984431266785},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5053939819335938},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.495425820350647},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.4675072133541107},{"id":"https://openalex.org/C178421362","wikidata":"https://www.wikidata.org/wiki/Q176786","display_name":"Intuitionistic logic","level":3,"score":0.44217798113822937},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4210798144340515},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34817641973495483},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.344811350107193},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3443121016025543},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.23107004165649414},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.20131108164787292},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14975783228874207},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1423313021659851},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0802023708820343},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10817-009-9117-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10817-009-9117-x","pdf_url":null,"source":{"id":"https://openalex.org/S99781599","display_name":"Journal of Automated Reasoning","issn_l":"0168-7433","issn":["0168-7433","1573-0670"],"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":"Journal of Automated Reasoning","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W144074862","https://openalex.org/W183809628","https://openalex.org/W1508641834","https://openalex.org/W1527335482","https://openalex.org/W1548292710","https://openalex.org/W1553511155","https://openalex.org/W1579444899","https://openalex.org/W1586093680","https://openalex.org/W1717757824","https://openalex.org/W1867436870","https://openalex.org/W1949275316","https://openalex.org/W1964824815","https://openalex.org/W1971879297","https://openalex.org/W1987816136","https://openalex.org/W1994688061","https://openalex.org/W1995215698","https://openalex.org/W2012142654","https://openalex.org/W2013961249","https://openalex.org/W2027872610","https://openalex.org/W2038089707","https://openalex.org/W2049144249","https://openalex.org/W2069933659","https://openalex.org/W2073054884","https://openalex.org/W2081819469","https://openalex.org/W2082102386","https://openalex.org/W2086537597","https://openalex.org/W2117060314","https://openalex.org/W2131150448","https://openalex.org/W2162201044","https://openalex.org/W2196559987","https://openalex.org/W2324221691","https://openalex.org/W2330548796","https://openalex.org/W2405679748","https://openalex.org/W2799004609","https://openalex.org/W3005494034","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1819460135","https://openalex.org/W4295798319","https://openalex.org/W353523607","https://openalex.org/W3098927713","https://openalex.org/W1589866633","https://openalex.org/W2774311601","https://openalex.org/W3106543884","https://openalex.org/W4310272897","https://openalex.org/W4389158536","https://openalex.org/W3100311625"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}