{"id":"https://openalex.org/W7163709800","doi":"https://doi.org/10.48550/arxiv.2606.06468","title":"Goedel-Architect: Streamlining Formal Theorem Proving with Blueprint Generation and Refinement","display_name":"Goedel-Architect: Streamlining Formal Theorem Proving with Blueprint Generation and Refinement","publication_year":2026,"publication_date":"2026-06-04","ids":{"openalex":"https://openalex.org/W7163709800","doi":"https://doi.org/10.48550/arxiv.2606.06468"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2606.06468","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.06468","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":"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.2606.06468","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012517942","display_name":"Jui-Hui Chung","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chung, Jui-Hui","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019302184","display_name":"Ziyang Cai","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cai, Ziyang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5138014308","display_name":"Zihao Li","orcid":"https://orcid.org/0009-0007-6815-8436"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Li, Zihao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5137969639","display_name":"Qishuo Yin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yin, Qishuo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101529714","display_name":"Rohit Agarwal","orcid":"https://orcid.org/0000-0003-4846-7745"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Agarwal, Rohit","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5137918282","display_name":"Simon Park","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Park, Simon","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5137940527","display_name":"Rodrigo Porto","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Porto, Rodrigo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112921371","display_name":"Narutatsu Ri","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ri, Narutatsu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5137930007","display_name":"Ziran Yang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yang, Ziran","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5137942423","display_name":"Shange Tang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tang, Shange","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108929019","display_name":"Xingyu Dang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dang, Xingyu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5137946913","display_name":"Hongzhou Lin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lin, Hongzhou","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5137958270","display_name":"Mengdi Wang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wang, Mengdi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5137947222","display_name":"Danqi Chen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chen, Danqi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5137990946","display_name":"Chi Jin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jin, Chi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5126505649","display_name":"Liam H Fowl","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fowl, Liam H","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5137925701","display_name":"Sanjeev Arora","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Arora, Sanjeev","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/T10126","display_name":"Logic, programming, and type systems","score":0.37220001220703125,"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":0.37220001220703125,"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/T11424","display_name":"Security and Verification in Computing","score":0.03909999877214432,"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/T10181","display_name":"Natural Language Processing Techniques","score":0.0340999998152256,"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/blueprint","display_name":"Blueprint","score":0.843999981880188},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.613099992275238},{"id":"https://openalex.org/keywords/proof-assistant","display_name":"Proof assistant","score":0.5716999769210815},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.4812000095844269},{"id":"https://openalex.org/keywords/lift","display_name":"Lift (data mining)","score":0.41929998993873596},{"id":"https://openalex.org/keywords/formal-proof","display_name":"Formal proof","score":0.4090000092983246},{"id":"https://openalex.org/keywords/formal-methods","display_name":"Formal methods","score":0.375},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3637000024318695}],"concepts":[{"id":"https://openalex.org/C155911762","wikidata":"https://www.wikidata.org/wiki/Q422321","display_name":"Blueprint","level":2,"score":0.843999981880188},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6398000121116638},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.613099992275238},{"id":"https://openalex.org/C203265346","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Proof assistant","level":3,"score":0.5716999769210815},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.5375000238418579},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.4812000095844269},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.45680001378059387},{"id":"https://openalex.org/C139002025","wikidata":"https://www.wikidata.org/wiki/Q3001212","display_name":"Lift (data mining)","level":2,"score":0.41929998993873596},{"id":"https://openalex.org/C94461902","wikidata":"https://www.wikidata.org/wiki/Q2762418","display_name":"Formal proof","level":3,"score":0.4090000092983246},{"id":"https://openalex.org/C75606506","wikidata":"https://www.wikidata.org/wiki/Q1049183","display_name":"Formal methods","level":2,"score":0.375},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3637000024318695},{"id":"https://openalex.org/C43521106","wikidata":"https://www.wikidata.org/wiki/Q2165493","display_name":"Pipeline (software)","level":2,"score":0.35429999232292175},{"id":"https://openalex.org/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","level":1,"score":0.3296999931335449},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.3142000138759613},{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.3025999963283539},{"id":"https://openalex.org/C19768560","wikidata":"https://www.wikidata.org/wiki/Q320727","display_name":"Dependency (UML)","level":2,"score":0.30230000615119934},{"id":"https://openalex.org/C111498074","wikidata":"https://www.wikidata.org/wiki/Q173326","display_name":"Formal verification","level":2,"score":0.2964000105857849},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.296099990606308},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29089999198913574},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.2851000130176544},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.28049999475479126},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2754000127315521},{"id":"https://openalex.org/C16311509","wikidata":"https://www.wikidata.org/wiki/Q4148050","display_name":"Dependency graph","level":3,"score":0.2630999982357025},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.25119999051094055},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.2500999867916107}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2606.06468","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.06468","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":"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.2606.06468","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.06468","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":"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":{"We":[0],"introduce":[1],"Goedel-Architect,":[2],"an":[3,126,173],"agentic":[4],"framework":[5],"for":[6,172],"formal":[7],"theorem":[8],"proving":[9],"in":[10,72,79],"Lean":[11,64],"4":[12],"centered":[13],"on":[14,103,118,123,134,156,160,165],"blueprint":[15,20,40,52,133],"generation":[16],"and":[17,27,45,99,120,153,163],"refinement.":[18],"A":[19],"is":[21,53],"a":[22,39,57,62,177],"dependency":[23],"graph":[24],"of":[25,41,83],"definitions":[26,44],"lemmas":[28,78],"that":[29],"builds":[30],"up":[31,180],"to":[32,150,181],"the":[33,84,107,112,131,135,141],"main":[34],"theorem.":[35],"First,":[36],"Goedel-Architect":[37,114],"generates":[38],"formally":[42],"stated":[43],"lemmas,":[46],"along":[47],"with":[48,90],"declared":[49],"dependencies.":[50,76],"This":[51,87,168],"optionally":[54],"guided":[55],"by":[56],"natural":[58],"language":[59],"proof.":[60],"Then,":[61],"tool-equipped":[63],"prover":[65],"component":[66],"closes":[67],"each":[68],"open":[69],"lemma":[70,97],"node":[71],"parallel":[73],"using":[74],"relevant":[75],"Failed":[77],"turn":[80],"drive":[81],"refinement":[82],"global":[85],"blueprint.":[86],"strategy":[88],"contrasts":[89],"other":[91],"mainstream":[92],"approaches":[93],"which":[94],"use":[95],"recursive":[96],"decomposition,":[98],"can":[100],"inefficiently":[101],"loop":[102],"dead-end":[104],"strategies.":[105],"Using":[106],"open-weight":[108],"DeepSeek-V4-Flash":[109],"(284B-A13B)":[110],"as":[111],"backbone,":[113],"attains":[115],"99.2%":[116],"pass@1":[117,122],"MiniF2F-test":[119,144],"75.6%":[121],"PutnamBench.":[124],"With":[125],"optional":[127],"natural-language":[128],"proof":[129],"seeding":[130],"initial":[132],"harder":[136],"problems,":[137],"we":[138],"additionally":[139],"close":[140],"remaining":[142],"two":[143],"problems":[145],"(reaching":[146],"100%),":[147],"lift":[148],"PutnamBench":[149],"88.8%":[151],"(597/672),":[152],"solve":[154],"4/6":[155],"IMO":[157],"2025,":[158,162],"11/12":[159],"Putnam":[161],"3/6":[164],"USAMO":[166],"2026.":[167],"represents":[169],"state-of-the-art":[170],"performance":[171],"open-source":[174,186],"pipeline":[175],"at":[176],"price":[178],"point":[179],"500x":[182],"less":[183],"than":[184],"comparable":[185],"pipelines.":[187]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-06-06T00:00:00"}
