{"id":"https://openalex.org/W2339308944","doi":"https://doi.org/10.1007/s10817-015-9357-x","title":"Self-Formalisation of Higher-Order Logic","display_name":"Self-Formalisation of Higher-Order Logic","publication_year":2016,"publication_date":"2016-02-15","ids":{"openalex":"https://openalex.org/W2339308944","doi":"https://doi.org/10.1007/s10817-015-9357-x","mag":"2339308944"},"language":"en","primary_location":{"id":"doi:10.1007/s10817-015-9357-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10817-015-9357-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10817-015-9357-x.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10817-015-9357-x.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082761102","display_name":"Ramana Kumar","orcid":"https://orcid.org/0000-0002-2319-1933"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Ramana Kumar","raw_affiliation_strings":["Computer Laboratory, University of Cambridge, Cambridge, UK"],"affiliations":[{"raw_affiliation_string":"Computer Laboratory, University of Cambridge, Cambridge, UK","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007731933","display_name":"Rob Arthan","orcid":"https://orcid.org/0000-0002-3801-6118"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Rob Arthan","raw_affiliation_strings":["Department of Computer Science, University of Oxford, Oxford, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Oxford, Oxford, UK","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001651911","display_name":"Magnus O. Myreen","orcid":"https://orcid.org/0000-0002-9504-4107"},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Magnus O. Myreen","raw_affiliation_strings":["CSE Department, Chalmers University of Technology, G\u00f6teborg, Sweden"],"affiliations":[{"raw_affiliation_string":"CSE Department, Chalmers University of Technology, G\u00f6teborg, Sweden","institution_ids":["https://openalex.org/I66862912"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049346665","display_name":"Scott Owens","orcid":"https://orcid.org/0000-0002-7437-4780"},"institutions":[{"id":"https://openalex.org/I20581793","display_name":"University of Kent","ror":"https://ror.org/00xkeyj56","country_code":"GB","type":"education","lineage":["https://openalex.org/I20581793"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Scott Owens","raw_affiliation_strings":["School of Computing, University of Kent, Kent, UK"],"affiliations":[{"raw_affiliation_string":"School of Computing, University of Kent, Kent, UK","institution_ids":["https://openalex.org/I20581793"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5082761102"],"corresponding_institution_ids":["https://openalex.org/I241749"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":7.5426,"has_fulltext":true,"cited_by_count":33,"citation_normalized_percentile":{"value":0.97196948,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"56","issue":"3","first_page":"221","last_page":"259"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9972000122070312,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.9912999868392944,"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/hol","display_name":"HOL","score":0.9670079350471497},{"id":"https://openalex.org/keywords/soundness","display_name":"Soundness","score":0.9650927186012268},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6434833407402039},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.5889667272567749},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.5816444754600525},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5043975114822388},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.47612980008125305},{"id":"https://openalex.org/keywords/higher-order-logic","display_name":"Higher-order logic","score":0.4666253328323364},{"id":"https://openalex.org/keywords/rule-of-inference","display_name":"Rule of inference","score":0.46204090118408203},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.45997926592826843},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.42039069533348083},{"id":"https://openalex.org/keywords/proof-assistant","display_name":"Proof assistant","score":0.4110540747642517},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.283221960067749},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.19662922620773315},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.17237499356269836},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15876534581184387}],"concepts":[{"id":"https://openalex.org/C17435882","wikidata":"https://www.wikidata.org/wiki/Q17030435","display_name":"HOL","level":2,"score":0.9670079350471497},{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.9650927186012268},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6434833407402039},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.5889667272567749},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.5816444754600525},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5043975114822388},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.47612980008125305},{"id":"https://openalex.org/C169896238","wikidata":"https://www.wikidata.org/wiki/Q1644136","display_name":"Higher-order logic","level":3,"score":0.4666253328323364},{"id":"https://openalex.org/C3746660","wikidata":"https://www.wikidata.org/wiki/Q1068763","display_name":"Rule of inference","level":2,"score":0.46204090118408203},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.45997926592826843},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.42039069533348083},{"id":"https://openalex.org/C203265346","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Proof assistant","level":3,"score":0.4110540747642517},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.283221960067749},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.19662922620773315},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.17237499356269836},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15876534581184387},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10817-015-9357-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10817-015-9357-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10817-015-9357-x.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Automated Reasoning","raw_type":"journal-article"},{"id":"pmh:oai:kar.kent.ac.uk:45155","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10817-015-9357-x>)","pdf_url":null,"source":{"id":"https://openalex.org/S4377196264","display_name":"Kent Academic Repository (University of Kent)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I20581793","host_organization_name":"University of Kent","host_organization_lineage":["https://openalex.org/I20581793"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},{"id":"pmh:oai:www.repository.cam.ac.uk:1810/253594","is_oa":true,"landing_page_url":"https://www.repository.cam.ac.uk/handle/1810/253594","pdf_url":"https://www.repository.cam.ac.uk/handle/1810/253594","source":{"id":"https://openalex.org/S4306401777","display_name":"Apollo (University of Cambridge)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I241749","host_organization_name":"University of Cambridge","host_organization_lineage":["https://openalex.org/I241749"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"published version"},{"id":"pmh:oai:research.chalmers.se:234751","is_oa":false,"landing_page_url":"https://research.chalmers.se/en/publication/234751","pdf_url":null,"source":{"id":"https://openalex.org/S4306402469","display_name":"Chalmers Research (Chalmers University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66862912","host_organization_name":"Chalmers University of Technology","host_organization_lineage":["https://openalex.org/I66862912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"doi:10.1007/s10817-015-9357-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10817-015-9357-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10817-015-9357-x.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Automated Reasoning","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6384498975","display_name":null,"funder_award_id":"EP/K503769/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320320006","display_name":"Royal Society","ror":"https://ror.org/03wnrjx87"},{"id":"https://openalex.org/F4320321848","display_name":"Cambridge Trust","ror":"https://ror.org/05sprqy15"},{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"},{"id":"https://openalex.org/F4320323264","display_name":"Gates Cambridge Trust","ror":"https://ror.org/033sn5p83"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2339308944.pdf","grobid_xml":"https://content.openalex.org/works/W2339308944.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W282676748","https://openalex.org/W289357661","https://openalex.org/W1475763605","https://openalex.org/W1517446920","https://openalex.org/W1537108372","https://openalex.org/W1571434026","https://openalex.org/W1574512757","https://openalex.org/W1600435877","https://openalex.org/W1603075471","https://openalex.org/W1606213779","https://openalex.org/W1712305647","https://openalex.org/W1857315623","https://openalex.org/W1904308182","https://openalex.org/W1943070836","https://openalex.org/W1969704856","https://openalex.org/W1984820433","https://openalex.org/W1991066194","https://openalex.org/W1996404651","https://openalex.org/W2006731094","https://openalex.org/W2114804254","https://openalex.org/W2129510553","https://openalex.org/W2130814620","https://openalex.org/W2144280226","https://openalex.org/W2160331299","https://openalex.org/W2166178233","https://openalex.org/W2166673364","https://openalex.org/W2166822586","https://openalex.org/W2230207899","https://openalex.org/W2263142775","https://openalex.org/W2290996099","https://openalex.org/W2299762230","https://openalex.org/W2405981945","https://openalex.org/W3037481178","https://openalex.org/W3151527711","https://openalex.org/W3168162705","https://openalex.org/W4241126266","https://openalex.org/W4253730864","https://openalex.org/W4256369010","https://openalex.org/W4285719527","https://openalex.org/W4299731435","https://openalex.org/W4300622081"],"related_works":["https://openalex.org/W2888810578","https://openalex.org/W4289666903","https://openalex.org/W2769609281","https://openalex.org/W2483392883","https://openalex.org/W2490199991","https://openalex.org/W1504680642","https://openalex.org/W2519051298","https://openalex.org/W2116128044","https://openalex.org/W4386350920","https://openalex.org/W1909465604"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,10,53,61,125],"mechanised":[3],"semantics":[4,119],"for":[5,14,21,77,104],"higher-order":[6],"logic":[7,48],"(HOL),":[8],"and":[9,79,100,127],"proof":[11],"of":[12,28,39,46,52,64,92,98,108,114],"soundness":[13,51,103],"the":[15,19,26,29,40,47,65,70,96,112],"inference":[16,41,71],"system,":[17],"including":[18],"rules":[20],"making":[22,89],"definitions,":[23],"implemented":[24],"by":[25,88],"kernel":[27,66],"HOL":[30,93],"Light":[31],"theorem":[32,54],"prover.":[33],"Our":[34,118],"work":[35,87,136],"extends":[36,49],"Harrison\u2019s":[37,86],"verification":[38],"system":[42],"without":[43],"definitions.":[44],"Soundness":[45],"to":[50],"prover,":[55],"because":[56],"we":[57,83,101,128],"also":[58],"show":[59],"that":[60],"synthesised":[62],"implementation":[63],"in":[67,111],"CakeML":[68],"refines":[69],"system.":[72],"Apart":[73],"from":[74],"adding":[75],"support":[76],"definitions":[78],"synthesising":[80],"an":[81,105],"implementation,":[82],"improve":[84],"on":[85,95],"our":[90,134],"model":[91],"parametric":[94],"universe":[97],"sets,":[99],"prove":[102],"improved":[106],"principle":[107],"constant":[109],"specification":[110],"hope":[113],"encouraging":[115],"its":[116],"adoption.":[117],"supports":[120],"defined":[121],"constants":[122],"directly":[123],"via":[124],"context,":[126],"find":[129],"this":[130],"approach":[131],"cleaner":[132],"than":[133],"previous":[135],"formalising":[137],"Wiedijk\u2019s":[138],"Stateless":[139],"HOL.":[140]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1}],"updated_date":"2026-03-17T09:09:15.849793","created_date":"2016-06-24T00:00:00"}
