{"id":"https://openalex.org/W2738161926","doi":"https://doi.org/10.1007/s10817-018-09507-7","title":"Automating Free Logic in HOL, with an Experimental Application in Category Theory","display_name":"Automating Free Logic in HOL, with an Experimental Application in Category Theory","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2738161926","doi":"https://doi.org/10.1007/s10817-018-09507-7","mag":"2738161926"},"language":"en","primary_location":{"id":"doi:10.1007/s10817-018-09507-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10817-018-09507-7","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","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://orbilu.uni.lu/handle/10993/37593","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055110324","display_name":"Christoph Benzm\u00fcller","orcid":"https://orcid.org/0000-0002-3392-3093"},"institutions":[{"id":"https://openalex.org/I186903577","display_name":"University of Luxembourg","ror":"https://ror.org/036x5ad56","country_code":"LU","type":"education","lineage":["https://openalex.org/I186903577"]},{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE","LU"],"is_corresponding":true,"raw_author_name":"Christoph Benzm\u00fcller","raw_affiliation_strings":["Freie Universit\u00e4t Berlin, Berlin, Germany","University of Luxembourg, Esch-sur-Alzette, Luxembourg"],"affiliations":[{"raw_affiliation_string":"Freie Universit\u00e4t Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I75951250"]},{"raw_affiliation_string":"University of Luxembourg, Esch-sur-Alzette, Luxembourg","institution_ids":["https://openalex.org/I186903577"]}]},{"author_position":"last","author":{"id":null,"display_name":"Dana S. Scott","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dana S. Scott","raw_affiliation_strings":["University of California, Berkeley, USA","University of California\u2014Berkeley, USA"],"affiliations":[{"raw_affiliation_string":"University of California, Berkeley, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"University of California\u2014Berkeley, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5055110324"],"corresponding_institution_ids":["https://openalex.org/I186903577","https://openalex.org/I75951250"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.1445,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.54700874,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"64","issue":"1","first_page":"53","last_page":"72"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.852400004863739,"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":0.852400004863739,"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":0.0560000017285347,"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/T10258","display_name":"Philosophy and Theoretical Science","score":0.013899999670684338,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.6240746974945068},{"id":"https://openalex.org/keywords/higher-order-logic","display_name":"Higher-order logic","score":0.572286069393158},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5596407055854797},{"id":"https://openalex.org/keywords/domain-theory","display_name":"Domain theory","score":0.5069041848182678},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4984891414642334},{"id":"https://openalex.org/keywords/model-theory","display_name":"Model theory","score":0.4882926940917969},{"id":"https://openalex.org/keywords/proof-theory","display_name":"Proof theory","score":0.47536391019821167},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.46963998675346375},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.4686305522918701},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4593811631202698},{"id":"https://openalex.org/keywords/hol","display_name":"HOL","score":0.4392291009426117},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.43459394574165344},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.41692185401916504},{"id":"https://openalex.org/keywords/mathematical-logic","display_name":"Mathematical logic","score":0.4110282063484192},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3890749216079712},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3220086097717285},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31743741035461426},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.27939069271087646},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2670227289199829},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2658555507659912},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.1660376489162445},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14507314562797546}],"concepts":[{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6240746974945068},{"id":"https://openalex.org/C169896238","wikidata":"https://www.wikidata.org/wiki/Q1644136","display_name":"Higher-order logic","level":3,"score":0.572286069393158},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5596407055854797},{"id":"https://openalex.org/C29585364","wikidata":"https://www.wikidata.org/wiki/Q1079166","display_name":"Domain theory","level":2,"score":0.5069041848182678},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4984891414642334},{"id":"https://openalex.org/C47030870","wikidata":"https://www.wikidata.org/wiki/Q467606","display_name":"Model theory","level":2,"score":0.4882926940917969},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.47536391019821167},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.46963998675346375},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.4686305522918701},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4593811631202698},{"id":"https://openalex.org/C17435882","wikidata":"https://www.wikidata.org/wiki/Q17030435","display_name":"HOL","level":2,"score":0.4392291009426117},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.43459394574165344},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.41692185401916504},{"id":"https://openalex.org/C47884741","wikidata":"https://www.wikidata.org/wiki/Q1166618","display_name":"Mathematical logic","level":2,"score":0.4110282063484192},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3890749216079712},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3220086097717285},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31743741035461426},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.27939069271087646},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2670227289199829},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2658555507659912},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.1660376489162445},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14507314562797546},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10817-018-09507-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10817-018-09507-7","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"},{"id":"pmh:oai:orbilu.uni.lu:10993/37593","is_oa":true,"landing_page_url":"https://orbilu.uni.lu/handle/10993/37593","pdf_url":null,"source":{"id":"https://openalex.org/S4306401815","display_name":"Open Repository and Bibliography (University of Luxembourg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I186903577","host_organization_name":"University of Luxembourg","host_organization_lineage":["https://openalex.org/I186903577"],"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":"Journal of Automated Reasoning (2019-01-01)","raw_type":"peer reviewed"},{"id":"doi:10.13140/rg.2.2.11432.83202","is_oa":true,"landing_page_url":"https://doi.org/10.13140/rg.2.2.11432.83202","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:orbilu.uni.lu:10993/37593","is_oa":true,"landing_page_url":"https://orbilu.uni.lu/handle/10993/37593","pdf_url":null,"source":{"id":"https://openalex.org/S4306401815","display_name":"Open Repository and Bibliography (University of Luxembourg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I186903577","host_organization_name":"University of Luxembourg","host_organization_lineage":["https://openalex.org/I186903577"],"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":"Journal of Automated Reasoning (2019-01-01)","raw_type":"peer reviewed"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1881543287","display_name":null,"funder_award_id":"BE 2501/9-2","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G402093356","display_name":null,"funder_award_id":"CRAP","funder_id":"https://openalex.org/F4320320882","funder_display_name":"Volkswagen Foundation"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320320882","display_name":"Volkswagen Foundation","ror":"https://ror.org/03bsmfz84"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1781094","https://openalex.org/W79561349","https://openalex.org/W1480909796","https://openalex.org/W1481699975","https://openalex.org/W1595209293","https://openalex.org/W1909465604","https://openalex.org/W1984201153","https://openalex.org/W1996404651","https://openalex.org/W2022589543","https://openalex.org/W2030227845","https://openalex.org/W2138366464","https://openalex.org/W2431262575","https://openalex.org/W2490199991","https://openalex.org/W2562160110","https://openalex.org/W4239310085","https://openalex.org/W4250846042","https://openalex.org/W4251032918"],"related_works":["https://openalex.org/W3111943817","https://openalex.org/W1927497685","https://openalex.org/W2964922400","https://openalex.org/W1512430070","https://openalex.org/W1521417784","https://openalex.org/W1496802971","https://openalex.org/W1523013478","https://openalex.org/W3092988953","https://openalex.org/W2059093820","https://openalex.org/W2888810578","https://openalex.org/W1509955629","https://openalex.org/W855010522","https://openalex.org/W1762364904","https://openalex.org/W349922720","https://openalex.org/W1604876488","https://openalex.org/W1995349365","https://openalex.org/W2339645850","https://openalex.org/W1965369251","https://openalex.org/W1494663138","https://openalex.org/W61474042"],"abstract_inverted_index":{"A":[0],"shallow":[1],"semantical":[2],"embedding":[3],"of":[4,18,30,43,49,61,74,91],"free":[5,31,119],"logic":[6,10,32],"in":[7,80,101,118],"classical":[8],"higher-order":[9,19],"is":[11,37,94],"presented,":[12],"which":[13],"enables":[14],"the":[15,26,50],"off-the-shelf":[16],"application":[17],"interactive":[20,114],"and":[21,28,112,115,121],"automated":[22,116],"theorem":[23],"provers":[24],"for":[25,53,68],"formalisation":[27],"verification":[29],"theories.":[33],"Subsequently,":[34],"this":[35,75,92],"approach":[36],"applied":[38],"to":[39,96,105,110,122],"a":[40,47,54,58,72,81],"selected":[41],"domain":[42],"mathematics:":[44],"starting":[45],"from":[46],"generalization":[48],"standard":[51],"axioms":[52],"monoid":[55],"we":[56],"present":[57,123],"stepwise":[59],"development":[60],"various,":[62],"mutually":[63],"equivalent":[64],"foundational":[65],"axiom":[66],"systems":[67],"category":[69,83,102],"theory.":[70],"As":[71],"side-effect":[73],"work":[76],"some":[77],"(minor)":[78],"issues":[79],"prominent":[82],"theory":[84],"textbook":[85],"have":[86],"been":[87],"revealed.":[88],"The":[89],"purpose":[90],"article":[93],"not":[95],"claim":[97],"any":[98],"novel":[99],"results":[100],"theory,":[103],"but":[104],"demonstrate":[106],"an":[107],"elegant":[108],"way":[109],"\u201cimplement\u201d":[111],"utilize":[113],"reasoning":[117],"logic,":[120],"illustrative":[124],"experiments.":[125]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2017-07-31T00:00:00"}
