{"id":"https://openalex.org/W7133321428","doi":"https://doi.org/10.48550/arxiv.2603.00737","title":"LLM-Powered Automatic Theorem Proving and Synthesis for Hybrid Systems and Game","display_name":"LLM-Powered Automatic Theorem Proving and Synthesis for Hybrid Systems and Game","publication_year":2026,"publication_date":"2026-02-28","ids":{"openalex":"https://openalex.org/W7133321428","doi":"https://doi.org/10.48550/arxiv.2603.00737"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2603.00737","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.00737","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2603.00737","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5127957275","display_name":"Aditi Kabra","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Kabra, Aditi","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5105977516","display_name":"Jonathan Laurent","orcid":"https://orcid.org/0000-0002-8477-1560"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Laurent, Jonathan","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5127937163","display_name":"Ruben Martins","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Martins, Ruben","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071735146","display_name":"Stefan Mitsch","orcid":"https://orcid.org/0000-0002-3194-9759"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mitsch, Stefan","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5122907811","display_name":"Andr\u00e9 Platzer","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Platzer, Andr\u00e9","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5127957275"],"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/T10142","display_name":"Formal Methods in Verification","score":0.9388999938964844,"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"}},"topics":[{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9388999938964844,"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/T10456","display_name":"Multi-Agent Systems and Negotiation","score":0.006300000008195639,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.004399999976158142,"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/hybrid-system","display_name":"Hybrid system","score":0.7329999804496765},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.5210999846458435},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5152999758720398},{"id":"https://openalex.org/keywords/automation","display_name":"Automation","score":0.4309000074863434},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.42660000920295715},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4104999899864197},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.3521000146865845},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.34630000591278076}],"concepts":[{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.7329999804496765},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6110000014305115},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.5210999846458435},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5152999758720398},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.48969998955726624},{"id":"https://openalex.org/C115901376","wikidata":"https://www.wikidata.org/wiki/Q184199","display_name":"Automation","level":2,"score":0.4309000074863434},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.42660000920295715},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4104999899864197},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4025999903678894},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.3521000146865845},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.34630000591278076},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.34369999170303345},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.334199994802475},{"id":"https://openalex.org/C195344581","wikidata":"https://www.wikidata.org/wiki/Q2555318","display_name":"Automated reasoning","level":2,"score":0.3043000102043152},{"id":"https://openalex.org/C111498074","wikidata":"https://www.wikidata.org/wiki/Q173326","display_name":"Formal verification","level":2,"score":0.3012999892234802},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.28540000319480896},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.27709999680519104},{"id":"https://openalex.org/C18789546","wikidata":"https://www.wikidata.org/wiki/Q1341206","display_name":"Hybrid computer","level":2,"score":0.27059999108314514},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.2637999951839447},{"id":"https://openalex.org/C167123822","wikidata":"https://www.wikidata.org/wiki/Q184199","display_name":"Automatic control","level":2,"score":0.260699987411499},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2567000091075897},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.25279998779296875}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2603.00737","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.00737","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2603.00737","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.00737","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.5084551572799683,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Hybrid":[0],"games":[1,36,41],"model":[2],"cyber-physical":[3],"systems":[4,34],"(CPS),":[5],"like":[6],"cars,":[7],"trains,":[8],"and":[9,30,35,57,109],"airplanes,":[10],"where":[11],"discrete":[12],"control":[13,113],"decisions":[14],"interact":[15],"with":[16,53],"continuous":[17],"physical":[18],"dynamics.":[19],"We":[20,88],"use":[21],"Large":[22],"Language":[23],"Models":[24],"(LLMs)":[25],"to":[26],"scale":[27],"formal":[28],"verification":[29],"synthesis":[31,111],"for":[32,37,106,116],"hybrid":[33,40],"a":[38,51,70],"high-level":[39],"symbolic":[42],"logic,":[43],"differential":[44],"game":[45],"logic":[46,52],"(dGL).":[47],"This":[48],"combination":[49],"of":[50,59,73,82,84,100,112,118],"the":[54,60,98,110,119],"right":[55],"expressivity":[56],"automation":[58],"interactive":[61],"theorem":[62,86],"proving":[63],"process":[64],"using":[65],"LLMs":[66],"brings":[67],"within":[68],"reach":[69,99],"challenging":[71,93],"class":[72],"CPS":[74],"verification/synthesis":[75],"problems,":[76],"that":[77],"were":[78],"previously":[79],"well":[80],"out":[81],"range":[83],"automatic":[85,102],"proving.":[87],"demonstrate":[89],"it":[90],"on":[91],"five":[92],"case":[94],"studies,":[95],"all":[96,107],"beyond":[97],"existing":[101],"techniques.":[103],"Verification":[104],"succeeds":[105,115],"five,":[108],"solutions":[114],"four":[117],"five.":[120]},"counts_by_year":[],"updated_date":"2026-03-04T07:09:34.246503","created_date":"2026-03-04T00:00:00"}
