{"id":"https://openalex.org/W3164251555","doi":"https://doi.org/10.1007/978-3-030-79876-5_6","title":"Isabelle\u2019s Metalogic: Formalization and Proof Checker","display_name":"Isabelle\u2019s Metalogic: Formalization and Proof Checker","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3164251555","doi":"https://doi.org/10.1007/978-3-030-79876-5_6","mag":"3164251555"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-79876-5_6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-79876-5_6","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-79876-5_6.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-79876-5_6.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062636889","display_name":"Tobias Nipkow","orcid":"https://orcid.org/0000-0003-0730-515X"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Tobias Nipkow","raw_affiliation_strings":["Technical University of Munich, Munich, Germany"],"raw_orcid":"https://orcid.org/0000-0003-0730-515X","affiliations":[{"raw_affiliation_string":"Technical University of Munich, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054251267","display_name":"Simon Ro\u00dfkopf","orcid":"https://orcid.org/0000-0002-7955-8749"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Simon Ro\u00dfkopf","raw_affiliation_strings":["Technical University of Munich, Munich, Germany"],"raw_orcid":"https://orcid.org/0000-0002-7955-8749","affiliations":[{"raw_affiliation_string":"Technical University of Munich, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5062636889"],"corresponding_institution_ids":["https://openalex.org/I62916508"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":2.1542,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.88921388,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"93","last_page":"110"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9966999888420105,"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":0.9904000163078308,"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/hol","display_name":"HOL","score":0.9110602140426636},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7757099866867065},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.7416484355926514},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.7031829357147217},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.6927471160888672},{"id":"https://openalex.org/keywords/executable","display_name":"Executable","score":0.6615302562713623},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.6283795833587646},{"id":"https://openalex.org/keywords/proof-assistant","display_name":"Proof assistant","score":0.6228947043418884},{"id":"https://openalex.org/keywords/gas-meter-prover","display_name":"Gas meter prover","score":0.5433048605918884},{"id":"https://openalex.org/keywords/proof-theory","display_name":"Proof theory","score":0.4860275387763977},{"id":"https://openalex.org/keywords/higher-order-logic","display_name":"Higher-order logic","score":0.43318045139312744},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.15730643272399902},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.15124374628067017}],"concepts":[{"id":"https://openalex.org/C17435882","wikidata":"https://www.wikidata.org/wiki/Q17030435","display_name":"HOL","level":2,"score":0.9110602140426636},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7757099866867065},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.7416484355926514},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7031829357147217},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.6927471160888672},{"id":"https://openalex.org/C160145156","wikidata":"https://www.wikidata.org/wiki/Q778586","display_name":"Executable","level":2,"score":0.6615302562713623},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.6283795833587646},{"id":"https://openalex.org/C203265346","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Proof assistant","level":3,"score":0.6228947043418884},{"id":"https://openalex.org/C159718280","wikidata":"https://www.wikidata.org/wiki/Q5526353","display_name":"Gas meter prover","level":3,"score":0.5433048605918884},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.4860275387763977},{"id":"https://openalex.org/C169896238","wikidata":"https://www.wikidata.org/wiki/Q1644136","display_name":"Higher-order logic","level":3,"score":0.43318045139312744},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.15730643272399902},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.15124374628067017},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-030-79876-5_6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-79876-5_6","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-79876-5_6.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:arXiv.org:2104.12224","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2104.12224","pdf_url":"https://arxiv.org/pdf/2104.12224","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"doi:10.1007/978-3-030-79876-5_6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-79876-5_6","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-79876-5_6.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2398295961","display_name":null,"funder_award_id":"GRK 2428","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G3607375797","display_name":null,"funder_award_id":"DFG GRK 2428 ConVeY","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3164251555.pdf","grobid_xml":"https://content.openalex.org/works/W3164251555.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W1713610","https://openalex.org/W118932385","https://openalex.org/W266135116","https://openalex.org/W1523874359","https://openalex.org/W1527418902","https://openalex.org/W1546449686","https://openalex.org/W1581325065","https://openalex.org/W1602718819","https://openalex.org/W1606342649","https://openalex.org/W1727609483","https://openalex.org/W1748618619","https://openalex.org/W1755481569","https://openalex.org/W1995955735","https://openalex.org/W2006731094","https://openalex.org/W2037026294","https://openalex.org/W2075828068","https://openalex.org/W2098856123","https://openalex.org/W2126583599","https://openalex.org/W2146104088","https://openalex.org/W2147130609","https://openalex.org/W2156926516","https://openalex.org/W2162121318","https://openalex.org/W2163693197","https://openalex.org/W2339308944","https://openalex.org/W2480255341","https://openalex.org/W2596784831","https://openalex.org/W2780404142","https://openalex.org/W2791394679","https://openalex.org/W2935704972","https://openalex.org/W2990172991","https://openalex.org/W3007003102","https://openalex.org/W3007423032","https://openalex.org/W3023928742","https://openalex.org/W3042577812","https://openalex.org/W3106080444","https://openalex.org/W4231257726","https://openalex.org/W4234528212","https://openalex.org/W4240497447","https://openalex.org/W4250846042","https://openalex.org/W4250850800","https://openalex.org/W4285719527","https://openalex.org/W4312126060"],"related_works":["https://openalex.org/W1909465604","https://openalex.org/W4253730864","https://openalex.org/W2785851014","https://openalex.org/W2809689211","https://openalex.org/W188775843","https://openalex.org/W4205469893","https://openalex.org/W2522499048","https://openalex.org/W3187382182","https://openalex.org/W2492795581","https://openalex.org/W1568527398"],"abstract_inverted_index":{"Abstract":[0],"Isabelle":[1,20,58],"is":[2],"a":[3,8,14,63],"generic":[4],"theorem":[5],"prover":[6],"with":[7,57],"fragment":[9],"of":[10,32,65,73],"higher-order":[11],"logic":[12],"as":[13],"metalogic":[15,28],"for":[16],"defining":[17],"object":[18],"logics.":[19],"also":[21],"provides":[22],"proof":[23,33,42,55],"terms.":[24],"We":[25,52],"formalize":[26],"this":[27],"and":[29,45,59,67],"the":[30,50,54,71,75],"language":[31],"terms":[34],"in":[35,77],"Isabelle/HOL,":[36],"define":[37],"an":[38],"executable":[39],"(but":[40],"inefficient)":[41],"term":[43],"checker":[44,56],"prove":[46],"its":[47],"correctness":[48,72],"w.r.t.":[49],"metalogic.":[51],"integrate":[53],"run":[60],"it":[61],"on":[62],"range":[64],"logics":[66],"theories":[68],"to":[69],"check":[70],"all":[74],"proofs":[76],"those":[78],"theories.":[79]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
