{"id":"https://openalex.org/W7157558513","doi":"https://doi.org/10.48550/arxiv.2604.25031","title":"Faithful Autoformalization via Roundtrip Verification and Repair","display_name":"Faithful Autoformalization via Roundtrip Verification and Repair","publication_year":2026,"publication_date":"2026-04-27","ids":{"openalex":"https://openalex.org/W7157558513","doi":"https://doi.org/10.48550/arxiv.2604.25031"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2604.25031","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.25031","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.2604.25031","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013311087","display_name":"Daneshvar Amrollahi","orcid":"https://orcid.org/0000-0003-0954-7881"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Amrollahi, Daneshvar","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5134828828","display_name":"Jerry Lopez","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lopez, Jerry","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5038904354","display_name":"C. BARRETT","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Barrett, Clark","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/T10743","display_name":"Software Testing and Debugging Techniques","score":0.47870001196861267,"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"}},"topics":[{"id":"https://openalex.org/T10743","display_name":"Software Testing and Debugging Techniques","score":0.47870001196861267,"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/T12127","display_name":"Software System Performance and Reliability","score":0.12150000035762787,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.0869000032544136,"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/formal-equivalence-checking","display_name":"Formal equivalence checking","score":0.6031000018119812},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5652999877929688},{"id":"https://openalex.org/keywords/formal-verification","display_name":"Formal verification","score":0.43130001425743103},{"id":"https://openalex.org/keywords/model-checking","display_name":"Model checking","score":0.4174000024795532},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.3855000138282776},{"id":"https://openalex.org/keywords/natural","display_name":"Natural (archaeology)","score":0.3765000104904175},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.3698999881744385},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.3612000048160553}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6560999751091003},{"id":"https://openalex.org/C96654402","wikidata":"https://www.wikidata.org/wiki/Q5469962","display_name":"Formal equivalence checking","level":3,"score":0.6031000018119812},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5652999877929688},{"id":"https://openalex.org/C111498074","wikidata":"https://www.wikidata.org/wiki/Q173326","display_name":"Formal verification","level":2,"score":0.43130001425743103},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4302000105381012},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.4174000024795532},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.39340001344680786},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.3855000138282776},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38199999928474426},{"id":"https://openalex.org/C2776608160","wikidata":"https://www.wikidata.org/wiki/Q4785462","display_name":"Natural (archaeology)","level":2,"score":0.3765000104904175},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.3698999881744385},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.3612000048160553},{"id":"https://openalex.org/C149364088","wikidata":"https://www.wikidata.org/wiki/Q185917","display_name":"Translation (biology)","level":4,"score":0.36070001125335693},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34150001406669617},{"id":"https://openalex.org/C37926939","wikidata":"https://www.wikidata.org/wiki/Q7449061","display_name":"Semantic equivalence","level":4,"score":0.3325999975204468},{"id":"https://openalex.org/C134752490","wikidata":"https://www.wikidata.org/wiki/Q374182","display_name":"Logical consequence","level":2,"score":0.32690000534057617},{"id":"https://openalex.org/C70846408","wikidata":"https://www.wikidata.org/wiki/Q220433","display_name":"Logical equivalence","level":3,"score":0.322299987077713},{"id":"https://openalex.org/C195324797","wikidata":"https://www.wikidata.org/wiki/Q33742","display_name":"Natural language","level":2,"score":0.31209999322891235},{"id":"https://openalex.org/C204321447","wikidata":"https://www.wikidata.org/wiki/Q30642","display_name":"Natural language processing","level":1,"score":0.3100999891757965},{"id":"https://openalex.org/C75606506","wikidata":"https://www.wikidata.org/wiki/Q1049183","display_name":"Formal methods","level":2,"score":0.301800012588501},{"id":"https://openalex.org/C59656382","wikidata":"https://www.wikidata.org/wiki/Q191536","display_name":"Conjunction (astronomy)","level":2,"score":0.27630001306533813},{"id":"https://openalex.org/C2776235265","wikidata":"https://www.wikidata.org/wiki/Q18392052","display_name":"Fragment (logic)","level":2,"score":0.27140000462532043},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.26660001277923584},{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.25949999690055847},{"id":"https://openalex.org/C98199350","wikidata":"https://www.wikidata.org/wiki/Q978442","display_name":"Dynamic and formal equivalence","level":3,"score":0.2513999938964844},{"id":"https://openalex.org/C102315432","wikidata":"https://www.wikidata.org/wiki/Q649732","display_name":"Formal system","level":2,"score":0.25029999017715454}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2604.25031","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.25031","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.2604.25031","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.25031","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":[{"display_name":"Quality Education","score":0.4585457146167755,"id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"When":[0,46,58],"an":[1],"LLM":[2],"formalizes":[3],"natural":[4,34],"language,":[5,35],"how":[6],"do":[7],"we":[8],"know":[9],"the":[10,30,47,65,84,95,116,124,127,144],"output":[11],"is":[12,115],"faithful?":[13],"We":[14,82],"propose":[15],"a":[16,27,39,55,61,68,73],"roundtrip":[17],"verification":[18],"approach":[19],"which":[20],"does":[21],"not":[22],"require":[23],"ground-truth":[24],"annotations:":[25],"formalize":[26],"statement,":[28],"translate":[29],"result":[31],"back":[32],"to":[33,42,67,78],"re-formalize,":[36],"and":[37,72,94,98,106,133],"use":[38],"formal":[40],"tool":[41],"check":[43,146],"logical":[44],"equivalence.":[45],"two":[48,87,102],"formalizations":[49],"agree,":[50],"this":[51],"provides":[52],"evidence":[53],"of":[54,126],"faithful":[56],"formalization.":[57],"they":[59],"disagree,":[60],"stage-level":[62],"diagnosis":[63,128],"localizes":[64],"error":[66],"specific":[69],"translation":[70],"step,":[71],"scoped":[74,113],"repair":[75,110,114,139],"operator":[76],"attempts":[77],"correct":[79],"that":[80,142,154],"step.":[81],"evaluate":[83],"framework":[85],"on":[86,123],"statutory":[88],"domains":[89,132],"(the":[90],"Texas":[91,96],"Transportation":[92],"Code":[93],"Parks":[97],"Wildlife":[99],"Code)":[100],"using":[101],"LLMs":[103],"(Claude":[104],"Opus~4.6":[105],"GPT-5.2)":[107],"with":[108,120],"three":[109],"baselines.":[111],"Diagnosis-guided":[112],"most":[117],"effective":[118],"method,":[119],"effectiveness":[121],"contingent":[122],"reliability":[125],"function.":[129],"Across":[130],"both":[131,134],"models,":[135],"under":[136],"our":[137],"full":[138],"system,":[140],"rules":[141,153],"fail":[143],"equivalence":[145],"show":[147],"1.4x-2.5x":[148],"more":[149],"NLI":[150],"drift":[151],"than":[152],"pass":[155],"it.":[156]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-04-30T00:00:00"}