{"id":"https://openalex.org/W4412543539","doi":"https://doi.org/10.1007/978-3-031-98682-6_10","title":"Lean-Auto: An Interface Between Lean 4 and\u00a0Automated Theorem Provers","display_name":"Lean-Auto: An Interface Between Lean 4 and\u00a0Automated Theorem Provers","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4412543539","doi":"https://doi.org/10.1007/978-3-031-98682-6_10"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-98682-6_10","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-98682-6_10","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-98682-6_10.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":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-98682-6_10.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042851353","display_name":"Yicheng Qian","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yicheng Qian","raw_affiliation_strings":["Stanford University, Stanford, USA"],"affiliations":[{"raw_affiliation_string":"Stanford University, Stanford, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004455254","display_name":"Joshua Clune","orcid":"https://orcid.org/0000-0003-4047-6196"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Joshua Clune","raw_affiliation_strings":["Carnegie Mellon University, Pittsburgh, USA"],"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University, Pittsburgh, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026961968","display_name":"Clark Barrett","orcid":"https://orcid.org/0000-0002-9522-3084"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Clark Barrett","raw_affiliation_strings":["Stanford University, Stanford, USA"],"affiliations":[{"raw_affiliation_string":"Stanford University, Stanford, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003483051","display_name":"Jeremy Avigad","orcid":"https://orcid.org/0000-0003-1275-315X"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jeremy Avigad","raw_affiliation_strings":["Carnegie Mellon University, Pittsburgh, USA"],"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University, Pittsburgh, USA","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5042851353"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":9.4846,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.97840862,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"175","last_page":"196"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9976999759674072,"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"}},{"id":"https://openalex.org/T10772","display_name":"Distributed systems and fault tolerance","score":0.991599977016449,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7863260507583618},{"id":"https://openalex.org/keywords/lean-manufacturing","display_name":"Lean manufacturing","score":0.6999368667602539},{"id":"https://openalex.org/keywords/interface","display_name":"Interface (matter)","score":0.5318764448165894},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.5131295323371887},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.4425903856754303},{"id":"https://openalex.org/keywords/manufacturing-engineering","display_name":"Manufacturing engineering","score":0.20916032791137695},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.19549867510795593},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.05078056454658508}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7863260507583618},{"id":"https://openalex.org/C137335462","wikidata":"https://www.wikidata.org/wiki/Q380772","display_name":"Lean manufacturing","level":2,"score":0.6999368667602539},{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.5318764448165894},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.5131295323371887},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4425903856754303},{"id":"https://openalex.org/C117671659","wikidata":"https://www.wikidata.org/wiki/Q11049265","display_name":"Manufacturing engineering","level":1,"score":0.20916032791137695},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.19549867510795593},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.05078056454658508},{"id":"https://openalex.org/C157915830","wikidata":"https://www.wikidata.org/wiki/Q2928001","display_name":"Bubble","level":2,"score":0.0},{"id":"https://openalex.org/C129307140","wikidata":"https://www.wikidata.org/wiki/Q6795880","display_name":"Maximum bubble pressure method","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-98682-6_10","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-98682-6_10","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-98682-6_10.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"}],"best_oa_location":{"id":"doi:10.1007/978-3-031-98682-6_10","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-98682-6_10","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-98682-6_10.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/G4713059963","display_name":null,"funder_award_id":"FA8750","funder_id":"https://openalex.org/F4320332180","funder_display_name":"Defense Advanced Research Projects Agency"}],"funders":[{"id":"https://openalex.org/F4320310598","display_name":"Amazon Web Services","ror":"https://ror.org/04mv4n011"},{"id":"https://openalex.org/F4320321523","display_name":"Chalmers Tekniska H\u00f6gskola","ror":"https://ror.org/040wg7k59"},{"id":"https://openalex.org/F4320332180","display_name":"Defense Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"},{"id":"https://openalex.org/F4320338294","display_name":"Air Force Research Laboratory","ror":"https://ror.org/02e2egq70"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4412543539.pdf","grobid_xml":"https://content.openalex.org/works/W4412543539.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W1781094","https://openalex.org/W1480909796","https://openalex.org/W1554222327","https://openalex.org/W1558175043","https://openalex.org/W1571434026","https://openalex.org/W1581378641","https://openalex.org/W1664582451","https://openalex.org/W1815556503","https://openalex.org/W1875842672","https://openalex.org/W1986402635","https://openalex.org/W2113065066","https://openalex.org/W2549482841","https://openalex.org/W2792493843","https://openalex.org/W2981188613","https://openalex.org/W3124387837","https://openalex.org/W3173777491","https://openalex.org/W3178506813","https://openalex.org/W4206463158","https://openalex.org/W4225922019","https://openalex.org/W4315630513","https://openalex.org/W4366452611","https://openalex.org/W4400166032","https://openalex.org/W6600788304","https://openalex.org/W6630804320","https://openalex.org/W6633544273","https://openalex.org/W6948150599"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052"],"abstract_inverted_index":{"Abstract":[0],"Proof":[1],"automation":[2,26,95],"is":[3,45,77,109,118],"crucial":[4],"to":[5,22,54,121],"large-scale":[6],"formal":[7],"mathematics":[8],"and":[9,32,111],"software/hardware":[10],"verification":[11],"projects":[12],"in":[13,27,79,96,130],"ITPs.":[14],"Sophisticated":[15],"tools":[16,146],"called":[17],"hammers":[18],"have":[19],"been":[20],"developed":[21],"provide":[23],"general-purpose":[24],"proof":[25,94,124],"ITPs":[28,69],"such":[29],"as":[30],"Coq":[31],"Isabelle,":[33],"leveraging":[34],"the":[35,46,50,55,83,100,105,123],"power":[36],"of":[37,42,104,125,133],"ATPs.":[38],"An":[39],"important":[40],"component":[41],"a":[43,64],"hammer":[44],"translation":[47,66,107],"algorithm":[48,67,76,117],"from":[49],"ITP\u2019s":[51],"logical":[52,57],"system":[53],"ATP\u2019s":[56],"system.":[58],"In":[59],"this":[60],"paper,":[61],"we":[62],"propose":[63],"novel":[65],"for":[68,99],"based":[70],"on":[71,147],"dependent":[72],"type":[73],"theory.":[74],"The":[75],"implemented":[78],"Lean":[80,97,134,148],"4":[81,98],"under":[82],"name":[84],"Lean-auto.":[85],"When":[86],"combined":[87],"with":[88],"ATPs,":[89],"Lean-auto":[90,140],"provides":[91],"general-purpose,":[92],"ATP-based":[93],"first":[101],"time.":[102],"Soundness":[103],"main":[106],"procedure":[108],"guaranteed,":[110],"experimental":[112],"results":[113],"suggest":[114],"that":[115,128,139],"our":[116],"sufficiently":[119],"complete":[120],"automate":[122],"many":[126],"problems":[127,143],"arise":[129],"practical":[131],"uses":[132],"4.":[135],"We":[136],"also":[137],"find":[138],"solves":[141],"more":[142],"than":[144],"existing":[145],"4\u2019s":[149],"math":[150],"library":[151],"Mathlib4.":[152]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
