{"id":"https://openalex.org/W7165613789","doi":"https://doi.org/10.48550/arxiv.2606.21167","title":"AI-Assisted Completion of CertiGC Proofs: An Experience Report","display_name":"AI-Assisted Completion of CertiGC Proofs: An Experience Report","publication_year":2026,"publication_date":"2026-06-19","ids":{"openalex":"https://openalex.org/W7165613789","doi":"https://doi.org/10.48550/arxiv.2606.21167"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2606.21167","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.21167","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.2606.21167","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101944241","display_name":"Shengyi Wang","orcid":"https://orcid.org/0000-0003-0117-040X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Wang, Shengyi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5101944241"],"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":0.6919000148773193,"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":0.6919000148773193,"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/T11450","display_name":"Model-Driven Software Engineering Techniques","score":0.12720000743865967,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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":0.10080000013113022,"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/mathematical-proof","display_name":"Mathematical proof","score":0.7329999804496765},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.526199996471405},{"id":"https://openalex.org/keywords/proof-of-concept","display_name":"Proof of concept","score":0.4799000024795532},{"id":"https://openalex.org/keywords/gas-meter-prover","display_name":"Gas meter prover","score":0.4189999997615814},{"id":"https://openalex.org/keywords/constructive-proof","display_name":"Constructive proof","score":0.39399999380111694},{"id":"https://openalex.org/keywords/audit","display_name":"Audit","score":0.3864000141620636},{"id":"https://openalex.org/keywords/scripting-language","display_name":"Scripting language","score":0.37139999866485596},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.36980000138282776},{"id":"https://openalex.org/keywords/formal-proof","display_name":"Formal proof","score":0.3643999993801117},{"id":"https://openalex.org/keywords/formal-verification","display_name":"Formal verification","score":0.3472000062465668}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7329999804496765},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6468999981880188},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.526199996471405},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.49140000343322754},{"id":"https://openalex.org/C124978682","wikidata":"https://www.wikidata.org/wiki/Q1201019","display_name":"Proof of concept","level":2,"score":0.4799000024795532},{"id":"https://openalex.org/C159718280","wikidata":"https://www.wikidata.org/wiki/Q5526353","display_name":"Gas meter prover","level":3,"score":0.4189999997615814},{"id":"https://openalex.org/C202854965","wikidata":"https://www.wikidata.org/wiki/Q3044470","display_name":"Constructive proof","level":2,"score":0.39399999380111694},{"id":"https://openalex.org/C199521495","wikidata":"https://www.wikidata.org/wiki/Q181487","display_name":"Audit","level":2,"score":0.3864000141620636},{"id":"https://openalex.org/C61423126","wikidata":"https://www.wikidata.org/wiki/Q187432","display_name":"Scripting language","level":2,"score":0.37139999866485596},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.36980000138282776},{"id":"https://openalex.org/C94461902","wikidata":"https://www.wikidata.org/wiki/Q2762418","display_name":"Formal proof","level":3,"score":0.3643999993801117},{"id":"https://openalex.org/C111498074","wikidata":"https://www.wikidata.org/wiki/Q173326","display_name":"Formal verification","level":2,"score":0.3472000062465668},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.336899995803833},{"id":"https://openalex.org/C2777062904","wikidata":"https://www.wikidata.org/wiki/Q545406","display_name":"Toolchain","level":3,"score":0.3337000012397766},{"id":"https://openalex.org/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","level":1,"score":0.3278999924659729},{"id":"https://openalex.org/C203265346","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Proof assistant","level":3,"score":0.32600000500679016},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.32030001282691956},{"id":"https://openalex.org/C51929080","wikidata":"https://www.wikidata.org/wiki/Q2425187","display_name":"Codebase","level":3,"score":0.31290000677108765},{"id":"https://openalex.org/C168065819","wikidata":"https://www.wikidata.org/wiki/Q845566","display_name":"Debugging","level":2,"score":0.311599999666214},{"id":"https://openalex.org/C2778491294","wikidata":"https://www.wikidata.org/wiki/Q1339824","display_name":"Mindset","level":2,"score":0.31060001254081726},{"id":"https://openalex.org/C2779971761","wikidata":"https://www.wikidata.org/wiki/Q629872","display_name":"Arbiter","level":2,"score":0.3100999891757965},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3100000023841858},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.30250000953674316},{"id":"https://openalex.org/C2778023277","wikidata":"https://www.wikidata.org/wiki/Q321703","display_name":"Premise","level":2,"score":0.2994999885559082},{"id":"https://openalex.org/C75606506","wikidata":"https://www.wikidata.org/wiki/Q1049183","display_name":"Formal methods","level":2,"score":0.2992999851703644},{"id":"https://openalex.org/C169590947","wikidata":"https://www.wikidata.org/wiki/Q47506","display_name":"Compiler","level":2,"score":0.2890999913215637},{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.28630000352859497},{"id":"https://openalex.org/C2779808786","wikidata":"https://www.wikidata.org/wiki/Q6664603","display_name":"Locality","level":2,"score":0.2703999876976013},{"id":"https://openalex.org/C198140048","wikidata":"https://www.wikidata.org/wiki/Q10859422","display_name":"Software versioning","level":3,"score":0.2685999870300293},{"id":"https://openalex.org/C13766981","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Automated proof checking","level":3,"score":0.2671000063419342},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2628999948501587},{"id":"https://openalex.org/C116253237","wikidata":"https://www.wikidata.org/wiki/Q1437424","display_name":"Formal specification","level":2,"score":0.2578999996185303},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.25679999589920044}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2606.21167","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.21167","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.2606.21167","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.21167","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0,98,213],"experience":[1],"report":[2,214],"describes":[3],"the":[4,19,25,31,47,52,70,76,94,107,130,145,174,181,189,193,197,209,216],"Codex-assisted":[5,171],"completion":[6],"and":[7,50,135,163,185,202,221],"stabilization":[8],"of":[9,109,147],"a":[10,39,83,110,115,121,125,204],"substantial":[11],"Rocq":[12,142],"(formerly":[13],"Coq)":[14],"proof":[15,64,77,166,211,219,225],"development":[16,29],"for":[17,223],"CertiGC,":[18],"verified":[20],"generational":[21],"garbage":[22],"collector":[23,32],"in":[24,93,124,139],"CertiGraph":[26],"project.":[27],"The":[28,57,141,170],"extends":[30],"from":[33,101,192,208],"an":[34],"effectively":[35],"immutable":[36],"setting":[37],"to":[38,46,79,196],"mutable":[40,67],"one":[41],"by":[42],"adding":[43],"remembered-set":[44,96],"forwarding":[45],"collection":[48],"path":[49,191],"re-establishing":[51],"top-level":[53],"graph-isomorphism":[54,183],"correctness":[55],"theorem.":[56,198],"central":[58],"technical":[59],"issue":[60],"was":[61,168],"not":[62],"low-level":[63],"scripting":[65],"alone:":[66],"updates":[68],"invalidate":[69],"old":[71],"global":[72],"no-backward-edge":[73,206],"assumption,":[74],"so":[75],"had":[78],"be":[80],"reorganized":[81],"around":[82],"recorded-backward-edge":[84],"invariant":[85,155],"stating":[86],"that":[87],"every":[88],"backward":[89],"edge":[90],"is":[91],"recorded":[92],"appropriate":[95],"component.":[97],"case":[99],"differs":[100],"recent":[102],"AI-assisted":[103],"formal-proof":[104],"accounts:":[105],"unlike":[106],"adaptation":[108],"nearby":[111],"compilerproof":[112],"architecture":[113],"or":[114],"fresh":[116],"metatheory":[117],"formalization,":[118],"it":[119],"completes":[120],"long-running":[122],"verification":[123],"mature":[126],"codebase":[127],"built":[128],"on":[129],"Verified":[131],"Software":[132],"Toolchain":[133],"(VST)":[134],"CertiGraph,":[136],"both":[137],"mechanized":[138],"Rocq.":[140],"kernel":[143],"remained":[144],"arbiter":[146],"correctness,":[148],"while":[149],"our":[150],"role":[151],"shifted":[152],"toward":[153],"adjudicating":[154],"proposals,":[156],"constraining":[157],"specification":[158,195],"changes,":[159],"reviewing":[160],"theorem":[161],"statements,":[162],"deciding":[164],"when":[165],"cleanup":[167],"justified.":[169],"phase":[172],"repaired":[173],"VST":[175,194],"relation":[176],"proofs":[177],"first,":[178],"then":[179,187],"restored":[180],"mathematical":[182],"theorem,":[184],"only":[186],"audited":[188],"premise":[190],"That":[199],"audit":[200],"found":[201],"removed":[203],"stale":[205],"condition":[207],"VST-facing":[210],"path.":[212],"presents":[215],"workflow,":[217],"resulting":[218],"artifact,":[220],"lessons":[222],"agentic":[224],"maintenance.":[226]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-06-24T00:00:00"}