{"id":"https://openalex.org/W2902885544","doi":"https://doi.org/10.1007/s10817-018-9498-9","title":"Formalization of Geometric Algebra in HOL Light","display_name":"Formalization of Geometric Algebra in HOL Light","publication_year":2018,"publication_date":"2018-12-04","ids":{"openalex":"https://openalex.org/W2902885544","doi":"https://doi.org/10.1007/s10817-018-9498-9","mag":"2902885544"},"language":"en","primary_location":{"id":"doi:10.1007/s10817-018-9498-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10817-018-9498-9","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/A5100429607","display_name":"Liming Li","orcid":"https://orcid.org/0000-0001-5445-2684"},"institutions":[{"id":"https://openalex.org/I96852419","display_name":"Capital Normal University","ror":"https://ror.org/005edt527","country_code":"CN","type":"education","lineage":["https://openalex.org/I96852419"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li-Ming Li","raw_affiliation_strings":["College of Information Engineering, Capital Normal University, Beijing, 100048, China","School of Mathematical Science, Capital Normal University, Beijing, 100048, China","College of Information Engineering, Capital Normal University, Beijing, China","School of Mathematical Science, Capital Normal University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Engineering, Capital Normal University, Beijing, 100048, China","institution_ids":["https://openalex.org/I96852419"]},{"raw_affiliation_string":"School of Mathematical Science, Capital Normal University, Beijing, 100048, China","institution_ids":["https://openalex.org/I96852419"]},{"raw_affiliation_string":"College of Information Engineering, Capital Normal University, Beijing, China","institution_ids":["https://openalex.org/I96852419"]},{"raw_affiliation_string":"School of Mathematical Science, Capital Normal University, Beijing, China","institution_ids":["https://openalex.org/I96852419"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072412248","display_name":"Zhiping Shi","orcid":"https://orcid.org/0000-0002-3562-8602"},"institutions":[{"id":"https://openalex.org/I4210146912","display_name":"Environmental Protection Research Institute of Light Industry","ror":"https://ror.org/03haahd66","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210146912"]},{"id":"https://openalex.org/I96852419","display_name":"Capital Normal University","ror":"https://ror.org/005edt527","country_code":"CN","type":"education","lineage":["https://openalex.org/I96852419"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhi-Ping Shi","raw_affiliation_strings":["Beijing Key Laboratory of Electronic System Reliability Technology, Beijing, 100048, China","Beijing Key Laboratory of Light Industrial Robot and Safety Verification, Beijing, 100048, China","College of Information Engineering, Capital Normal University, Beijing, 100048, China","Beijing Key Laboratory of Light Industrial Robot and Safety Verification, Beijing, China","Beijing Key Laboratory of Electronic System Reliability Technology, Beijing, China","College of Information Engineering, Capital Normal University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-3562-8602","affiliations":[{"raw_affiliation_string":"Beijing Key Laboratory of Electronic System Reliability Technology, Beijing, 100048, China","institution_ids":[]},{"raw_affiliation_string":"Beijing Key Laboratory of Light Industrial Robot and Safety Verification, Beijing, 100048, China","institution_ids":["https://openalex.org/I4210146912"]},{"raw_affiliation_string":"College of Information Engineering, Capital Normal University, Beijing, 100048, China","institution_ids":["https://openalex.org/I96852419"]},{"raw_affiliation_string":"Beijing Key Laboratory of Light Industrial Robot and Safety Verification, Beijing, China","institution_ids":["https://openalex.org/I4210146912"]},{"raw_affiliation_string":"Beijing Key Laboratory of Electronic System Reliability Technology, Beijing, China","institution_ids":[]},{"raw_affiliation_string":"College of Information Engineering, Capital Normal University, Beijing, China","institution_ids":["https://openalex.org/I96852419"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087366755","display_name":"Yong Guan","orcid":"https://orcid.org/0000-0002-2373-2779"},"institutions":[{"id":"https://openalex.org/I4210146912","display_name":"Environmental Protection Research Institute of Light Industry","ror":"https://ror.org/03haahd66","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210146912"]},{"id":"https://openalex.org/I96852419","display_name":"Capital Normal University","ror":"https://ror.org/005edt527","country_code":"CN","type":"education","lineage":["https://openalex.org/I96852419"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yong Guan","raw_affiliation_strings":["Beijing Key Laboratory of Electronic System Reliability Technology, Beijing, 100048, China","Beijing Key Laboratory of Light Industrial Robot and Safety Verification, Beijing, 100048, China","College of Information Engineering, Capital Normal University, Beijing, 100048, China","Beijing Key Laboratory of Electronic System Reliability Technology, Beijing, China","College of Information Engineering, Capital Normal University, Beijing, China","Beijing Key Laboratory of Light Industrial Robot and Safety Verification, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing Key Laboratory of Electronic System Reliability Technology, Beijing, 100048, China","institution_ids":[]},{"raw_affiliation_string":"Beijing Key Laboratory of Light Industrial Robot and Safety Verification, Beijing, 100048, China","institution_ids":["https://openalex.org/I4210146912"]},{"raw_affiliation_string":"College of Information Engineering, Capital Normal University, Beijing, 100048, China","institution_ids":["https://openalex.org/I96852419"]},{"raw_affiliation_string":"Beijing Key Laboratory of Electronic System Reliability Technology, Beijing, China","institution_ids":[]},{"raw_affiliation_string":"College of Information Engineering, Capital Normal University, Beijing, China","institution_ids":["https://openalex.org/I96852419"]},{"raw_affiliation_string":"Beijing Key Laboratory of Light Industrial Robot and Safety Verification, Beijing, China","institution_ids":["https://openalex.org/I4210146912"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088404530","display_name":"Qianying Zhang","orcid":"https://orcid.org/0000-0002-3246-9474"},"institutions":[{"id":"https://openalex.org/I4210146912","display_name":"Environmental Protection Research Institute of Light Industry","ror":"https://ror.org/03haahd66","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210146912"]},{"id":"https://openalex.org/I96852419","display_name":"Capital Normal University","ror":"https://ror.org/005edt527","country_code":"CN","type":"education","lineage":["https://openalex.org/I96852419"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qian-Ying Zhang","raw_affiliation_strings":["Beijing Key Laboratory of Light Industrial Robot and Safety Verification, Beijing, 100048, China","College of Information Engineering, Capital Normal University, Beijing, 100048, China","College of Information Engineering, Capital Normal University, Beijing, China","Beijing Key Laboratory of Light Industrial Robot and Safety Verification, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing Key Laboratory of Light Industrial Robot and Safety Verification, Beijing, 100048, China","institution_ids":["https://openalex.org/I4210146912"]},{"raw_affiliation_string":"College of Information Engineering, Capital Normal University, Beijing, 100048, China","institution_ids":["https://openalex.org/I96852419"]},{"raw_affiliation_string":"College of Information Engineering, Capital Normal University, Beijing, China","institution_ids":["https://openalex.org/I96852419"]},{"raw_affiliation_string":"Beijing Key Laboratory of Light Industrial Robot and Safety Verification, Beijing, China","institution_ids":["https://openalex.org/I4210146912"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014965312","display_name":"Yongdong Li","orcid":"https://orcid.org/0000-0001-8756-0438"},"institutions":[{"id":"https://openalex.org/I4210146912","display_name":"Environmental Protection Research Institute of Light Industry","ror":"https://ror.org/03haahd66","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210146912"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yong-Dong Li","raw_affiliation_strings":["Beijing Key Laboratory of Light Industrial Robot and Safety Verification, Beijing, 100048, China","Beijing Key Laboratory of Light Industrial Robot and Safety Verification, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing Key Laboratory of Light Industrial Robot and Safety Verification, Beijing, 100048, China","institution_ids":["https://openalex.org/I4210146912"]},{"raw_affiliation_string":"Beijing Key Laboratory of Light Industrial Robot and Safety Verification, Beijing, China","institution_ids":["https://openalex.org/I4210146912"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5072412248"],"corresponding_institution_ids":["https://openalex.org/I4210146912","https://openalex.org/I96852419"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.1692,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.62205428,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"63","issue":"3","first_page":"787","last_page":"808"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9544000029563904,"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":0.9544000029563904,"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/T11687","display_name":"Teleoperation and Haptic Systems","score":0.9373999834060669,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13885","display_name":"Geophysics and Sensor Technology","score":0.9296000003814697,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/hol","display_name":"HOL","score":0.8960295915603638},{"id":"https://openalex.org/keywords/multivector","display_name":"Multivector","score":0.7056170701980591},{"id":"https://openalex.org/keywords/geometric-algebra","display_name":"Geometric algebra","score":0.6218461990356445},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5748297572135925},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48284798860549927},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45359864830970764},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.41105201840400696},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3754103481769562},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3308046758174896},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.21793770790100098},{"id":"https://openalex.org/keywords/algebra-representation","display_name":"Algebra representation","score":0.1737004816532135},{"id":"https://openalex.org/keywords/cellular-algebra","display_name":"Cellular algebra","score":0.10220393538475037},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08603763580322266}],"concepts":[{"id":"https://openalex.org/C17435882","wikidata":"https://www.wikidata.org/wiki/Q17030435","display_name":"HOL","level":2,"score":0.8960295915603638},{"id":"https://openalex.org/C26238338","wikidata":"https://www.wikidata.org/wiki/Q2377336","display_name":"Multivector","level":5,"score":0.7056170701980591},{"id":"https://openalex.org/C180671464","wikidata":"https://www.wikidata.org/wiki/Q1186649","display_name":"Geometric algebra","level":4,"score":0.6218461990356445},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5748297572135925},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48284798860549927},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45359864830970764},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.41105201840400696},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3754103481769562},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3308046758174896},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.21793770790100098},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.1737004816532135},{"id":"https://openalex.org/C100899422","wikidata":"https://www.wikidata.org/wiki/Q5058347","display_name":"Cellular algebra","level":4,"score":0.10220393538475037},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08603763580322266}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10817-018-9498-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10817-018-9498-9","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":[{"id":"https://openalex.org/G4806771921","display_name":null,"funder_award_id":"61876111","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G56527899","display_name":null,"funder_award_id":"61602325","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7089524140","display_name":null,"funder_award_id":"61472468","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7749063203","display_name":null,"funder_award_id":"61572331","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W47271058","https://openalex.org/W1497011154","https://openalex.org/W1515695641","https://openalex.org/W1521083034","https://openalex.org/W1544725832","https://openalex.org/W1545409775","https://openalex.org/W1553511155","https://openalex.org/W1566038112","https://openalex.org/W1586167239","https://openalex.org/W1825294361","https://openalex.org/W1966897452","https://openalex.org/W2008609482","https://openalex.org/W2022718409","https://openalex.org/W2075342308","https://openalex.org/W2081693584","https://openalex.org/W2084154484","https://openalex.org/W2088204271","https://openalex.org/W2091456056","https://openalex.org/W2101518755","https://openalex.org/W2108957506","https://openalex.org/W2117463337","https://openalex.org/W2126842969","https://openalex.org/W2166631255","https://openalex.org/W2168217713","https://openalex.org/W2305158040","https://openalex.org/W2337229041","https://openalex.org/W2341168461","https://openalex.org/W2343231375","https://openalex.org/W2572874030","https://openalex.org/W2747541017","https://openalex.org/W2963355212","https://openalex.org/W3008422510"],"related_works":["https://openalex.org/W4210353177","https://openalex.org/W44043513","https://openalex.org/W2579897398","https://openalex.org/W1515695641","https://openalex.org/W4235793957","https://openalex.org/W3006042754","https://openalex.org/W2746461580","https://openalex.org/W4295109177","https://openalex.org/W114675515","https://openalex.org/W3037925604"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}