{"id":"https://openalex.org/W2025219931","doi":"https://doi.org/10.1016/s0168-0072(03)00051-4","title":"Using the prover ANDP to simplify orthogonality","display_name":"Using the prover ANDP to simplify orthogonality","publication_year":2003,"publication_date":"2003-09-11","ids":{"openalex":"https://openalex.org/W2025219931","doi":"https://doi.org/10.1016/s0168-0072(03)00051-4","mag":"2025219931"},"language":"en","primary_location":{"id":"doi:10.1016/s0168-0072(03)00051-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0168-0072(03)00051-4","pdf_url":null,"source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied Logic","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/A5022847585","display_name":"Dafa Li","orcid":"https://orcid.org/0000-0003-4405-7095"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Dafa Li","raw_affiliation_strings":["Department of Mathematics, Tsinghua University, Beijing 100084, China","[Department of Mathematics, Tsinghua University, Beijing 100084, China.]"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tsinghua University, Beijing 100084, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"[Department of Mathematics, Tsinghua University, Beijing 100084, China.]","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5022847585"],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":{"value":3390,"currency":"USD","value_usd":3390},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.11221385,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"124","issue":"1-3","first_page":"49","last_page":"70"},"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":0.9711999893188477,"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/T10142","display_name":"Formal Methods in Verification","score":0.95169997215271,"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/axiom","display_name":"Axiom","score":0.8363394141197205},{"id":"https://openalex.org/keywords/orthogonality","display_name":"Orthogonality","score":0.7286919355392456},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.64809250831604},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5599095821380615},{"id":"https://openalex.org/keywords/gas-meter-prover","display_name":"Gas meter prover","score":0.556983232498169},{"id":"https://openalex.org/keywords/foundations-of-geometry","display_name":"Foundations of geometry","score":0.5523583889007568},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.5203651785850525},{"id":"https://openalex.org/keywords/affine-geometry","display_name":"Affine geometry","score":0.49433016777038574},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.4809281527996063},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.4746818244457245},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.41632404923439026},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.38930684328079224},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.36325550079345703},{"id":"https://openalex.org/keywords/affine-space","display_name":"Affine space","score":0.3201243281364441},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.30000707507133484},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.24487990140914917},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2149941623210907},{"id":"https://openalex.org/keywords/projective-geometry","display_name":"Projective geometry","score":0.2081787884235382},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.206992506980896},{"id":"https://openalex.org/keywords/algebraic-geometry","display_name":"Algebraic geometry","score":0.15482982993125916},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07286307215690613},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.06800740957260132}],"concepts":[{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.8363394141197205},{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.7286919355392456},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.64809250831604},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5599095821380615},{"id":"https://openalex.org/C159718280","wikidata":"https://www.wikidata.org/wiki/Q5526353","display_name":"Gas meter prover","level":3,"score":0.556983232498169},{"id":"https://openalex.org/C180110497","wikidata":"https://www.wikidata.org/wiki/Q5474574","display_name":"Foundations of geometry","level":4,"score":0.5523583889007568},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.5203651785850525},{"id":"https://openalex.org/C23684344","wikidata":"https://www.wikidata.org/wiki/Q382520","display_name":"Affine geometry","level":4,"score":0.49433016777038574},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.4809281527996063},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.4746818244457245},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.41632404923439026},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.38930684328079224},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.36325550079345703},{"id":"https://openalex.org/C173110770","wikidata":"https://www.wikidata.org/wiki/Q382698","display_name":"Affine space","level":3,"score":0.3201243281364441},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.30000707507133484},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.24487990140914917},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2149941623210907},{"id":"https://openalex.org/C185362025","wikidata":"https://www.wikidata.org/wiki/Q177409","display_name":"Projective geometry","level":3,"score":0.2081787884235382},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.206992506980896},{"id":"https://openalex.org/C68363185","wikidata":"https://www.wikidata.org/wiki/Q180969","display_name":"Algebraic geometry","level":2,"score":0.15482982993125916},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07286307215690613},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.06800740957260132},{"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/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0168-0072(03)00051-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0168-0072(03)00051-4","pdf_url":null,"source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied Logic","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322392","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549"},{"id":"https://openalex.org/F4320332911","display_name":"University at Albany","ror":"https://ror.org/012zs8222"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1499666987","https://openalex.org/W1510333080","https://openalex.org/W1586723435","https://openalex.org/W2009579853","https://openalex.org/W2041659040","https://openalex.org/W2046873802","https://openalex.org/W2056801043","https://openalex.org/W2067558609","https://openalex.org/W2082915738","https://openalex.org/W2571239765","https://openalex.org/W4251274916"],"related_works":["https://openalex.org/W4246350535","https://openalex.org/W3083050876","https://openalex.org/W1875958796","https://openalex.org/W1780472831","https://openalex.org/W1976200187","https://openalex.org/W1561644379","https://openalex.org/W2969536091","https://openalex.org/W2039016041","https://openalex.org/W1964633041","https://openalex.org/W2793613898"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
