{"id":"https://openalex.org/W7140288865","doi":"https://doi.org/10.48550/arxiv.2603.23004","title":"Can Large Language Models Reason and Optimize Under Constraints?","display_name":"Can Large Language Models Reason and Optimize Under Constraints?","publication_year":2026,"publication_date":"2026-03-24","ids":{"openalex":"https://openalex.org/W7140288865","doi":"https://doi.org/10.48550/arxiv.2603.23004"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2603.23004","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.23004","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2603.23004","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054072100","display_name":"Fabien Bernier","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bernier, Fabien","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034416417","display_name":"Salah Ghamizi","orcid":"https://orcid.org/0000-0002-0738-8250"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ghamizi, Salah","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5130580460","display_name":"Pantelis Dogoulis","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dogoulis, Pantelis","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5000695937","display_name":"Maxime Cordy","orcid":"https://orcid.org/0000-0001-8312-1358"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cordy, Maxime","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11714","display_name":"Multimodal Machine Learning Applications","score":0.20059999823570251,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11714","display_name":"Multimodal Machine Learning Applications","score":0.20059999823570251,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T14347","display_name":"Big Data and Digital Economy","score":0.1273999959230423,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T12026","display_name":"Explainable Artificial Intelligence (XAI)","score":0.07349999994039536,"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/set","display_name":"Set (abstract data type)","score":0.6535999774932861},{"id":"https://openalex.org/keywords/abstraction","display_name":"Abstraction","score":0.6047999858856201},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.5169000029563904},{"id":"https://openalex.org/keywords/power-grid","display_name":"Power grid","score":0.43639999628067017},{"id":"https://openalex.org/keywords/natural-language","display_name":"Natural language","score":0.3928999900817871},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.3783000111579895}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6664999723434448},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6535999774932861},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.6047999858856201},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.5169000029563904},{"id":"https://openalex.org/C2983254600","wikidata":"https://www.wikidata.org/wiki/Q1096907","display_name":"Power grid","level":3,"score":0.43639999628067017},{"id":"https://openalex.org/C195324797","wikidata":"https://www.wikidata.org/wiki/Q33742","display_name":"Natural language","level":2,"score":0.3928999900817871},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.3783000111579895},{"id":"https://openalex.org/C112930515","wikidata":"https://www.wikidata.org/wiki/Q4389547","display_name":"Risk analysis (engineering)","level":1,"score":0.37700000405311584},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3718000054359436},{"id":"https://openalex.org/C539667460","wikidata":"https://www.wikidata.org/wiki/Q2414942","display_name":"Management science","level":1,"score":0.3560999929904938},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33059999346733093},{"id":"https://openalex.org/C195344581","wikidata":"https://www.wikidata.org/wiki/Q2555318","display_name":"Automated reasoning","level":2,"score":0.2913999855518341},{"id":"https://openalex.org/C137293760","wikidata":"https://www.wikidata.org/wiki/Q3621696","display_name":"Language model","level":2,"score":0.26989999413490295},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.2678000032901764},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.25029999017715454}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2603.23004","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.23004","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2603.23004","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.23004","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Large":[0],"Language":[1],"Models":[2],"(LLMs)":[3],"have":[4],"demonstrated":[5],"great":[6],"capabilities":[7],"across":[8],"diverse":[9],"natural":[10],"language":[11],"tasks;":[12],"yet":[13],"their":[14],"ability":[15,103],"to":[16,104],"solve":[17],"abstraction":[18],"and":[19,36,41,70,85,110],"optimization":[20,130],"problems":[21],"with":[22],"constraints":[23,43],"remains":[24],"scarcely":[25],"explored.":[26],"In":[27],"this":[28,111],"paper,":[29],"we":[30],"investigate":[31],"whether":[32],"LLMs":[33,78,88],"can":[34,125],"reason":[35],"optimize":[37],"under":[38,108],"the":[39,83,92],"physical":[40],"operational":[42],"of":[44,60,82],"Optimal":[45],"Power":[46],"Flow":[47],"(OPF)":[48],"problem.":[49],"We":[50],"introduce":[51],"a":[52,58,114],"challenging":[53],"evaluation":[54,74],"setup":[55],"that":[56,76,86,124],"requires":[57],"set":[59],"fundamental":[61],"skills":[62],"such":[63],"as":[64],"reasoning,":[65],"structured":[66,106],"input":[67],"handling,":[68],"arithmetic,":[69],"constrained":[71],"optimization.":[72],"Our":[73,96],"reveals":[75],"SoTA":[77],"fail":[79,90],"in":[80,91,101],"most":[81,93],"tasks,":[84],"reasoning":[87,107],"still":[89],"complex":[94],"settings.":[95],"findings":[97],"highlight":[98],"critical":[99],"gaps":[100],"LLMs'":[102],"handle":[105],"constraints,":[109],"work":[112],"provides":[113],"rigorous":[115],"testing":[116],"environment":[117],"for":[118],"developing":[119],"more":[120],"capable":[121],"LLM":[122],"assistants":[123],"tackle":[126],"real-world":[127],"power":[128],"grid":[129],"problems.":[131]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-03-26T00:00:00"}
