{"id":"https://openalex.org/W2128980051","doi":"https://doi.org/10.1007/bf01531327","title":"Mechanical theorem proving in projective geometry","display_name":"Mechanical theorem proving in projective geometry","publication_year":1995,"publication_date":"1995-03-01","ids":{"openalex":"https://openalex.org/W2128980051","doi":"https://doi.org/10.1007/bf01531327","mag":"2128980051"},"language":"en","primary_location":{"id":"doi:10.1007/bf01531327","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01531327","pdf_url":null,"source":{"id":"https://openalex.org/S90199469","display_name":"Annals of Mathematics and Artificial Intelligence","issn_l":"1012-2443","issn":["1012-2443","1573-7470"],"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":"Annals of Mathematics and Artificial Intelligence","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/A5097607665","display_name":"J\ufffdrgen Richter-Gebert","orcid":null},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"J\ufffdrgen Richter-Gebert","raw_affiliation_strings":["FB Mathematik, Sekr. 6-1, Technische Universit\u00e4t Berlin, Stra\u03b2Be des 17. Juni 135, D-10623, Berlin, Germany","FB Mathematik, Sekr. 6-1, Technische Universit\u00e4t Berlin, Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"FB Mathematik, Sekr. 6-1, Technische Universit\u00e4t Berlin, Stra\u03b2Be des 17. Juni 135, D-10623, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"FB Mathematik, Sekr. 6-1, Technische Universit\u00e4t Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5097607665"],"corresponding_institution_ids":["https://openalex.org/I4577782"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.2033,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.93027591,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"13","issue":"1-2","first_page":"139","last_page":"172"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9962999820709229,"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"}},{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.6679447293281555},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6228765249252319},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.48767244815826416},{"id":"https://openalex.org/keywords/complex-system","display_name":"Complex system","score":0.45565059781074524},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.4354337453842163},{"id":"https://openalex.org/keywords/projective-test","display_name":"Projective test","score":0.42183953523635864},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3858444094657898},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38284897804260254},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36703455448150635},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3508988916873932},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3014903664588928},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20057478547096252},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16465243697166443},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07290354371070862}],"concepts":[{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.6679447293281555},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6228765249252319},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.48767244815826416},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.45565059781074524},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.4354337453842163},{"id":"https://openalex.org/C177846678","wikidata":"https://www.wikidata.org/wiki/Q1501864","display_name":"Projective test","level":2,"score":0.42183953523635864},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3858444094657898},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38284897804260254},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36703455448150635},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3508988916873932},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3014903664588928},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20057478547096252},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16465243697166443},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07290354371070862},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/bf01531327","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01531327","pdf_url":null,"source":{"id":"https://openalex.org/S90199469","display_name":"Annals of Mathematics and Artificial Intelligence","issn_l":"1012-2443","issn":["1012-2443","1573-7470"],"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":"Annals of Mathematics and Artificial Intelligence","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.87.5302","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.87.5302","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://opus.kobv.de/zib/volltexte/1993/100/pdf/SC-93-05.pdf","raw_type":"text"},{"id":"pmh:oai:aleph.bib-bvb.de:BVB01-021702123","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":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W136053314","https://openalex.org/W1486147404","https://openalex.org/W1499871497","https://openalex.org/W1504939977","https://openalex.org/W1518129101","https://openalex.org/W1553142094","https://openalex.org/W1582520000","https://openalex.org/W1589700598","https://openalex.org/W2011752484","https://openalex.org/W2013572173","https://openalex.org/W2014707122","https://openalex.org/W2026222581","https://openalex.org/W2026253506","https://openalex.org/W2027463847","https://openalex.org/W2033596627","https://openalex.org/W2038591451","https://openalex.org/W2063816216","https://openalex.org/W2064119246","https://openalex.org/W2070613680","https://openalex.org/W2074065886","https://openalex.org/W2076545664","https://openalex.org/W2077378514","https://openalex.org/W2077725083","https://openalex.org/W2078999555","https://openalex.org/W2083292427","https://openalex.org/W2086146364","https://openalex.org/W2127315534","https://openalex.org/W2169964297","https://openalex.org/W2320439696","https://openalex.org/W2913690980","https://openalex.org/W3217399827","https://openalex.org/W4238858352","https://openalex.org/W4247563756","https://openalex.org/W4247967149","https://openalex.org/W4248084437","https://openalex.org/W4256103804","https://openalex.org/W4298290503","https://openalex.org/W6630816479","https://openalex.org/W6633510844"],"related_works":["https://openalex.org/W2001489718","https://openalex.org/W2024319036","https://openalex.org/W1549557214","https://openalex.org/W1982071305","https://openalex.org/W2004502427","https://openalex.org/W2059052781","https://openalex.org/W2419173576","https://openalex.org/W2073468254","https://openalex.org/W2461518464","https://openalex.org/W1570646200"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}