{"id":"https://openalex.org/W1518042125","doi":"https://doi.org/10.1023/a:1026477216294","title":"Computer-Aided Construction of Finite Geometric Spaces: Automated Verification of Geometric Constraints","display_name":"Computer-Aided Construction of Finite Geometric Spaces: Automated Verification of Geometric Constraints","publication_year":2001,"publication_date":"2001-02-01","ids":{"openalex":"https://openalex.org/W1518042125","doi":"https://doi.org/10.1023/a:1026477216294","mag":"1518042125"},"language":"en","primary_location":{"id":"doi:10.1023/a:1026477216294","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1026477216294","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/A5005700646","display_name":"Wolfgang Gehrke","orcid":null},"institutions":[{"id":"https://openalex.org/I119003972","display_name":"Roma Tre University","ror":"https://ror.org/05vf0dg29","country_code":"IT","type":"education","lineage":["https://openalex.org/I119003972"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Wolfgang Gehrke","raw_affiliation_strings":["Dipartimento di Informatica e Automazione, Universit\u00e0 di Roma Tre, Via della Vasca Navale 79, I - 00146, Roma, Italy","Universit\u00e0 di Roma Tre, Dipartimento di Informatica e Automazione, Via della Vasca Navale 79, I - 00146 Roma, Italy. e-mail: wgehrke@rhl.dia.uniroma3.it#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica e Automazione, Universit\u00e0 di Roma Tre, Via della Vasca Navale 79, I - 00146, Roma, Italy","institution_ids":["https://openalex.org/I119003972"]},{"raw_affiliation_string":"Universit\u00e0 di Roma Tre, Dipartimento di Informatica e Automazione, Via della Vasca Navale 79, I - 00146 Roma, Italy. e-mail: wgehrke@rhl.dia.uniroma3.it#TAB#","institution_ids":["https://openalex.org/I119003972"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075363532","display_name":"Jochen Pfalzgraf","orcid":null},"institutions":[{"id":"https://openalex.org/I182212641","display_name":"University of Salzburg","ror":"https://ror.org/05gs8cd61","country_code":"AT","type":"education","lineage":["https://openalex.org/I182212641"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Jochen Pfalzgraf","raw_affiliation_strings":["Department of Computer Science, University of Salzburg, Jakob Haringer Str. 2, A-5020, Salzburg, Austria","Department of Computer Science, University of Salzburg, Jakob Haringer Str. 2, A-5020 Salzburg, Austria. e-mail: pfalzgraf@cosy.sbg.ac.at#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Salzburg, Jakob Haringer Str. 2, A-5020, Salzburg, Austria","institution_ids":["https://openalex.org/I182212641"]},{"raw_affiliation_string":"Department of Computer Science, University of Salzburg, Jakob Haringer Str. 2, A-5020 Salzburg, Austria. e-mail: pfalzgraf@cosy.sbg.ac.at#TAB#","institution_ids":["https://openalex.org/I182212641"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.4574,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.53316054,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"26","issue":"2","first_page":"139","last_page":"160"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.2264000028371811,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.2264000028371811,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.20819999277591705,"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/T10126","display_name":"Logic, programming, and type systems","score":0.11209999769926071,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.5443716049194336},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5156539678573608},{"id":"https://openalex.org/keywords/noncommutative-geometry","display_name":"Noncommutative geometry","score":0.5076497793197632},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48629626631736755},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4831054210662842},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48083600401878357},{"id":"https://openalex.org/keywords/geometric-modeling","display_name":"Geometric modeling","score":0.4452574551105499},{"id":"https://openalex.org/keywords/computational-geometry","display_name":"Computational geometry","score":0.41080498695373535},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3929131329059601},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.360295832157135},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3061821460723877},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2675139307975769}],"concepts":[{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.5443716049194336},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5156539678573608},{"id":"https://openalex.org/C68797384","wikidata":"https://www.wikidata.org/wiki/Q2746792","display_name":"Noncommutative geometry","level":2,"score":0.5076497793197632},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48629626631736755},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4831054210662842},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48083600401878357},{"id":"https://openalex.org/C104065381","wikidata":"https://www.wikidata.org/wiki/Q1002535","display_name":"Geometric modeling","level":2,"score":0.4452574551105499},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.41080498695373535},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3929131329059601},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.360295832157135},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3061821460723877},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2675139307975769},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1026477216294","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1026477216294","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":23,"referenced_works":["https://openalex.org/W36355091","https://openalex.org/W119131058","https://openalex.org/W1436177191","https://openalex.org/W1487182996","https://openalex.org/W1511927304","https://openalex.org/W1578866112","https://openalex.org/W1725475383","https://openalex.org/W1976645521","https://openalex.org/W1991766858","https://openalex.org/W2006915538","https://openalex.org/W2023161480","https://openalex.org/W2029256996","https://openalex.org/W2047257357","https://openalex.org/W2055225449","https://openalex.org/W2074726874","https://openalex.org/W2086372041","https://openalex.org/W2088027070","https://openalex.org/W2125296600","https://openalex.org/W2158185344","https://openalex.org/W3087941684","https://openalex.org/W3091010616","https://openalex.org/W4248352158","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1489253706","https://openalex.org/W2184505782","https://openalex.org/W2125543379","https://openalex.org/W2015031959","https://openalex.org/W2931102263","https://openalex.org/W111427416","https://openalex.org/W2512286295","https://openalex.org/W2145403541","https://openalex.org/W1592942465","https://openalex.org/W2910910020"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2016-06-24T00:00:00"}