{"id":"https://openalex.org/W1569069553","doi":"https://doi.org/10.1007/978-3-540-73086-6_8","title":"Certified Computer Algebra on Top of an Interactive Theorem Prover","display_name":"Certified Computer Algebra on Top of an Interactive Theorem Prover","publication_year":2007,"publication_date":"2007-08-14","ids":{"openalex":"https://openalex.org/W1569069553","doi":"https://doi.org/10.1007/978-3-540-73086-6_8","mag":"1569069553"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-73086-6_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-73086-6_8","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/2066/35027","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070698573","display_name":"Cezary Kaliszyk","orcid":"https://orcid.org/0000-0002-8273-6059"},"institutions":[{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Cezary Kaliszyk","raw_affiliation_strings":["Institute for Computing and Information Sciences, Radboud University Nijmegen, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Institute for Computing and Information Sciences, Radboud University Nijmegen, The Netherlands","institution_ids":["https://openalex.org/I145872427"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034010131","display_name":"Freek Wiedijk","orcid":null},"institutions":[{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Freek Wiedijk","raw_affiliation_strings":["Institute for Computing and Information Sciences, Radboud University Nijmegen, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Institute for Computing and Information Sciences, Radboud University Nijmegen, The Netherlands","institution_ids":["https://openalex.org/I145872427"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5070698573"],"corresponding_institution_ids":["https://openalex.org/I145872427"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.829,"has_fulltext":true,"cited_by_count":33,"citation_normalized_percentile":{"value":0.87255675,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"94","last_page":"105"},"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/T10317","display_name":"Advanced Database Systems and Queries","score":0.9901999831199646,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T13523","display_name":"Mathematics, Computing, and Information Processing","score":0.9864000082015991,"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/proof-assistant","display_name":"Proof assistant","score":0.6849198341369629},{"id":"https://openalex.org/keywords/symbolic-computation","display_name":"Symbolic computation","score":0.6660410761833191},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6368159651756287},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.5983179211616516},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.5881944298744202},{"id":"https://openalex.org/keywords/hol","display_name":"HOL","score":0.5026366710662842},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.4996480941772461},{"id":"https://openalex.org/keywords/interface","display_name":"Interface (matter)","score":0.49242934584617615},{"id":"https://openalex.org/keywords/gas-meter-prover","display_name":"Gas meter prover","score":0.45865345001220703},{"id":"https://openalex.org/keywords/automation","display_name":"Automation","score":0.4435696005821228},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4403522312641144},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18633440136909485},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.12642544507980347},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12258809804916382},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1123102605342865},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.08100134134292603}],"concepts":[{"id":"https://openalex.org/C203265346","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Proof assistant","level":3,"score":0.6849198341369629},{"id":"https://openalex.org/C110812573","wikidata":"https://www.wikidata.org/wiki/Q175515","display_name":"Symbolic computation","level":2,"score":0.6660410761833191},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6368159651756287},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.5983179211616516},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.5881944298744202},{"id":"https://openalex.org/C17435882","wikidata":"https://www.wikidata.org/wiki/Q17030435","display_name":"HOL","level":2,"score":0.5026366710662842},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4996480941772461},{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.49242934584617615},{"id":"https://openalex.org/C159718280","wikidata":"https://www.wikidata.org/wiki/Q5526353","display_name":"Gas meter prover","level":3,"score":0.45865345001220703},{"id":"https://openalex.org/C115901376","wikidata":"https://www.wikidata.org/wiki/Q184199","display_name":"Automation","level":2,"score":0.4435696005821228},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4403522312641144},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18633440136909485},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.12642544507980347},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12258809804916382},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1123102605342865},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.08100134134292603},{"id":"https://openalex.org/C129307140","wikidata":"https://www.wikidata.org/wiki/Q6795880","display_name":"Maximum bubble pressure method","level":3,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C157915830","wikidata":"https://www.wikidata.org/wiki/Q2928001","display_name":"Bubble","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/978-3-540-73086-6_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-73086-6_8","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:ru:oai:repository.ubn.ru.nl:2066/35027","is_oa":true,"landing_page_url":"http://hdl.handle.net/2066/35027","pdf_url":"http://hdl.handle.net/2066/35027","source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"M. Kauers, R. Miner; Windsteiger, W. (ed.), Towards Mechanized Mathematical Assistants, Calculemus 2007, Hagenberg, 94 - 105. Berlin ; New York : Springer","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.702.529","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.702.529","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cl-informatik.uibk.ac.at/users/cek/docs/07/ckfw-calculemus07.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.77.169","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.77.169","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.kun.nl/~freek/pubs/holcas.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.77.9911","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.77.9911","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.kun.nl/~freek/pubs/holcas.pdf","raw_type":"text"},{"id":"pmh:oai:repository.ubn.ru.nl:2066/35027","is_oa":false,"landing_page_url":"https://hdl.handle.net/2066/35027","pdf_url":null,"source":{"id":"https://openalex.org/S4306401067","display_name":"Radboud Repository (Radboud University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I145872427","host_organization_name":"Radboud University Nijmegen","host_organization_lineage":["https://openalex.org/I145872427"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article in monograph or in proceedings"}],"best_oa_location":{"id":"pmh:ru:oai:repository.ubn.ru.nl:2066/35027","is_oa":true,"landing_page_url":"http://hdl.handle.net/2066/35027","pdf_url":"http://hdl.handle.net/2066/35027","source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"M. Kauers, R. Miner; Windsteiger, W. (ed.), Towards Mechanized Mathematical Assistants, Calculemus 2007, Hagenberg, 94 - 105. Berlin ; New York : Springer","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W1569069553.pdf"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W138653256","https://openalex.org/W171076485","https://openalex.org/W1497011154","https://openalex.org/W1509691122","https://openalex.org/W1519991979","https://openalex.org/W1525737662","https://openalex.org/W1544772966","https://openalex.org/W1560253649","https://openalex.org/W1569291528","https://openalex.org/W1594381772","https://openalex.org/W1600415698","https://openalex.org/W1963457827","https://openalex.org/W1986264093","https://openalex.org/W2055314056","https://openalex.org/W2068213203","https://openalex.org/W2079280457","https://openalex.org/W2090445846","https://openalex.org/W2103039937","https://openalex.org/W2114788260","https://openalex.org/W2127575569","https://openalex.org/W3023397379","https://openalex.org/W4298293404"],"related_works":["https://openalex.org/W2888810578","https://openalex.org/W4289666903","https://openalex.org/W2123747055","https://openalex.org/W2769609281","https://openalex.org/W2483392883","https://openalex.org/W2809689211","https://openalex.org/W1504680642","https://openalex.org/W2519051298","https://openalex.org/W76860425","https://openalex.org/W1909465604"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}