{"id":"https://openalex.org/W4366448158","doi":"https://doi.org/10.1007/978-3-031-30820-8_8","title":"Verified reductions for optimization","display_name":"Verified reductions for optimization","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4366448158","doi":"https://doi.org/10.1007/978-3-031-30820-8_8"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-30820-8_8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-30820-8_8","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-30820-8_8.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/10.1007/978-3-031-30820-8_8.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028260073","display_name":"Alexander Bentkamp","orcid":"https://orcid.org/0000-0002-7158-3595"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]},{"id":"https://openalex.org/I44260953","display_name":"Heinrich Heine University D\u00fcsseldorf","ror":"https://ror.org/024z2rq82","country_code":"DE","type":"education","lineage":["https://openalex.org/I44260953"]}],"countries":["CN","DE"],"is_corresponding":true,"raw_author_name":"Alexander Bentkamp","raw_affiliation_strings":["Heinrich-Heine-Universit\u00e4t D\u00fcsseldorf, D\u00fcsseldorf, Germany","State Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-7158-3595","affiliations":[{"raw_affiliation_string":"Heinrich-Heine-Universit\u00e4t D\u00fcsseldorf, D\u00fcsseldorf, Germany","institution_ids":["https://openalex.org/I44260953"]},{"raw_affiliation_string":"State Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210128818","https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007603462","display_name":"Ramon Fern\u00e1ndez Mir","orcid":"https://orcid.org/0000-0001-7242-5532"},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Ramon Fern\u00e1ndez Mir","raw_affiliation_strings":["School of Informatics, University of Edinburgh, Edinburgh, UK"],"raw_orcid":"https://orcid.org/0000-0001-7242-5532","affiliations":[{"raw_affiliation_string":"School of Informatics, University of Edinburgh, Edinburgh, UK","institution_ids":["https://openalex.org/I98677209"]}]},{"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, PA, USA"],"raw_orcid":"https://orcid.org/0000-0003-1275-315X","affiliations":[{"raw_affiliation_string":"Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028260073"],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210128818","https://openalex.org/I44260953"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":2.0217,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.87062731,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"74","last_page":"92"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9945999979972839,"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":0.9945999979972839,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9929999709129333,"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/T10142","display_name":"Formal Methods in Verification","score":0.9919999837875366,"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/computer-science","display_name":"Computer science","score":0.8618607521057129},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.5010213851928711},{"id":"https://openalex.org/keywords/formal-methods","display_name":"Formal methods","score":0.44072216749191284},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.39934948086738586},{"id":"https://openalex.org/keywords/software-engineering","display_name":"Software engineering","score":0.3953867554664612},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34778499603271484},{"id":"https://openalex.org/keywords/industrial-engineering","display_name":"Industrial engineering","score":0.34209102392196655}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8618607521057129},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5010213851928711},{"id":"https://openalex.org/C75606506","wikidata":"https://www.wikidata.org/wiki/Q1049183","display_name":"Formal methods","level":2,"score":0.44072216749191284},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.39934948086738586},{"id":"https://openalex.org/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","level":1,"score":0.3953867554664612},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34778499603271484},{"id":"https://openalex.org/C13736549","wikidata":"https://www.wikidata.org/wiki/Q4489420","display_name":"Industrial engineering","level":1,"score":0.34209102392196655},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-30820-8_8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-30820-8_8","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-30820-8_8.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:10.1007/978-3-031-30820-8_8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-30820-8_8","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-30820-8_8.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":[{"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure","score":0.6100000143051147}],"awards":[{"id":"https://openalex.org/G3739400514","display_name":null,"funder_award_id":"2021PT0015","funder_id":"https://openalex.org/F4320321133","funder_display_name":"Chinese Academy of Sciences"}],"funders":[{"id":"https://openalex.org/F4320310207","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33"},{"id":"https://openalex.org/F4320321133","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4366448158.pdf"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W169070976","https://openalex.org/W1421638684","https://openalex.org/W1464569014","https://openalex.org/W1496681274","https://openalex.org/W1534704094","https://openalex.org/W1910466616","https://openalex.org/W1967073510","https://openalex.org/W1999629321","https://openalex.org/W2001728872","https://openalex.org/W2101504517","https://openalex.org/W2150118230","https://openalex.org/W2152795079","https://openalex.org/W2157264766","https://openalex.org/W2163850966","https://openalex.org/W2178935672","https://openalex.org/W2565924041","https://openalex.org/W2727213671","https://openalex.org/W2765665975","https://openalex.org/W2770374498","https://openalex.org/W2807041225","https://openalex.org/W2883422753","https://openalex.org/W2901838001","https://openalex.org/W2944759097","https://openalex.org/W2963966702","https://openalex.org/W2990340099","https://openalex.org/W3085587046","https://openalex.org/W3100674527","https://openalex.org/W3178506813","https://openalex.org/W4205516034","https://openalex.org/W4250846042","https://openalex.org/W4366448158","https://openalex.org/W6902611317"],"related_works":["https://openalex.org/W4231937131","https://openalex.org/W323219885","https://openalex.org/W2063928587","https://openalex.org/W1487966966","https://openalex.org/W1589342014","https://openalex.org/W1480341462","https://openalex.org/W2488581006","https://openalex.org/W1587246512","https://openalex.org/W2913714777","https://openalex.org/W61995002"],"abstract_inverted_index":{"Abstract":[0],"Numerical":[1],"and":[2,13,40,49,60,67,79],"symbolic":[3],"methods":[4,16],"for":[5,38,75],"optimization":[6],"are":[7,17,27],"used":[8,18],"extensively":[9],"in":[10],"engineering,":[11],"industry,":[12],"finance.":[14],"Various":[15],"to":[19,24,29],"reduce":[20],"problems":[21],"of":[22,63],"interest":[23],"ones":[25],"that":[26],"amenable":[28],"solution":[30],"by":[31],"these":[32],"methods.":[33],"We":[34],"develop":[35],"a":[36,72],"framework":[37,66],"designing":[39],"applying":[41],"such":[42],"reductions,":[43],"using":[44],"the":[45,56,61,77],"Lean":[46],"programming":[47],"language":[48],"interactive":[50,65],"proof":[51],"assistant.":[52],"Formal":[53],"verification":[54],"makes":[55],"process":[57],"more":[58],"reliable,":[59],"availability":[62],"an":[64],"ambient":[68],"mathematical":[69],"library":[70],"provides":[71],"robust":[73],"environment":[74],"constructing":[76],"reductions":[78],"reasoning":[80],"about":[81],"them.":[82]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
