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ARXIV:2602.17016 · MATHEMATICAL FORMALIZATION · SUBMITTED 02 APR · 02:30 UTC · FRESHNESS STALE
ARXIV:2602.17016MATHEMATICAL FORMALIZATIONSUBMITTED 02 APR · 02:30 UTCFRESHNESS STALEarXiv
Automated solution to convert mathematical literature into formal code using Lean efficiently.
Opportunity summary
Pain Automated solution to convert mathematical literature into formal code using Lean efficiently.
Evidence 0 refs | 0 sources | 17% coverage
Blocker Evidence unverified
Automated solution to convert mathematical literature into formal code using Lean efficiently. Scaling to textbooks and research papers is largely unaddressed, as it requires managing cross-file dependencies, resolving imports, and ensuring that entire projects…
Automated formalization of mathematics enables mechanical verification but remains limited to isolated theorems and short snippets. Scaling to textbooks and research papers is largely unaddressed, as it requires managing cross-file dependencies, resolving imports, and…
ScienceToStartup currently rates this 7.0/10 on the public viability pass. Automated formalization of mathematics enables mechanical verification but remains limited to isolated theorems and short snippets.
Mathematical Formalization moved forward this cycle; last verified April 2026. Public score 7.0/10.
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Score7.0Public score shown from the verified overall while the stale axis breakdown refreshesAnalysis summary
Automated solution to convert mathematical literature into formal code using Lean efficiently.
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Paper Pack
10.48550/arXiv.2602.17016Automated solution to convert mathematical literature into formal code using Lean efficiently.
Abstract
Automated formalization of mathematics enables mechanical verification but remains limited to isolated theorems and short snippets. Scaling to textbooks and research papers is largely unaddressed, as it requires managing cross-file dependencies, resolving imports, and ensuring that entire projects compile end-to-end. We present M2F (Math-to-Formal), the first agentic framework for end-to-end, project-scale autoformalization in Lean. The framework operates in two stages. The statement compilation stage splits the document into atomic blocks, orders them via inferred dependencies, and repairs declaration skeletons until the project compiles, allowing placeholders in proofs. The proof repair stage closes these holes under fixed signatures using goal-conditioned local edits. Throughout both stages, M2F keeps the verifier in the loop, committing edits only when toolchain feedback confirms improvement. In approximately three weeks, M2F converts long-form mathematical sources into a project-scale Lean library of 153,853 lines from 479 pages textbooks on real analysis and convex analysis, fully formalized as Lean declarations with accompanying proofs. This represents textbook-scale formalization at a pace that would typically require months or years of expert effort. On FATE-H, we achieve $96\%$ proof success (vs.\ $80\%$ for a strong baseline). Together, these results demonstrate that practical, large-scale automated formalization of mathematical literature is within reach. The full generated Lean code from our runs is available at https://github.com/optsuite/ReasBook.git.
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Extraction status
Derived fallbackRead summaries are estimated from adjacent metadata, not verified extraction rows.
Proof status
unverified0 refs; 0 sources; 17% coverage.
What was readable
Derived fallback: Estimated from adjacent evidence; not verified from source.
Viability
Time to MVP
Commercial
Export
Preparing verified analysis
Dimensions overall score 7.0
PROBLEM
Automated solution to convert mathematical literature into formal code using Lean efficiently. Scaling to textbooks and research papers is largely unaddressed, as it requires managing cross-file dependencies, resolving imports, and ensuring that entire projects compile end-to-en...
METHOD
Automated formalization of mathematics enables mechanical verification but remains limited to isolated theorems and short snippets. Scaling to textbooks and research papers is largely unaddressed, as it requires managing cross-file dependencies, resolving imports, and ensuring t...
RESULT
ScienceToStartup currently rates this 7.0/10 on the public viability pass. Automated formalization of mathematics enables mechanical verification but remains limited to isolated theorems and short snippets.
WHY NOW
Mathematical Formalization moved forward this cycle; last verified April 2026. Public score 7.0/10.
Abstract-backed public claims while anchored extraction refreshes.
Automated solution to convert mathematical literature into formal code using Lean efficiently. Scaling to textbooks and research papers is largely unaddressed, as it requires managing cross-file dependencies, resolving imports, and ensuring that entire projects compile end-to-end.
Abstract-backed fallback claim; anchored extraction has not materialized a public claim row yet.
partial
Automated formalization of mathematics enables mechanical verification but remains limited to isolated theorems and short snippets. Scaling to textbooks and research papers is largely unaddressed, as it requires managing cross-file dependencies, resolving imports, and ensuring that entire projects compile end-to-end.
Abstract-backed fallback claim; anchored extraction has not materialized a public claim row yet.
partial
ScienceToStartup currently rates this 7.0/10 on the public viability pass. Automated formalization of mathematics enables mechanical verification but remains limited to isolated theorems and short snippets.
Abstract-backed fallback claim; anchored extraction has not materialized a public claim row yet.
partial
Mathematical Formalization moved forward this cycle; last verified April 2026. Public score 7.0/10.
Abstract-backed fallback claim; anchored extraction has not materialized a public claim row yet.
partial
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Concepts
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Automated solution to convert mathematical literature into formal code using Lean efficiently.
Segment
Mathematical Formalization
Adoption evidence
No public code link in the paper record yet
Commercial read
7.0/10 public viability
Direct
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Build Passport
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status
missing
reason
passport_row_missing
proof status
unverified
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confidence low
next verification path
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Source missing: Build Passport payload.
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Evidence coverage
OpportunityKernel evidence_receipt
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stale
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Build readiness
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passport absent
stale
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Artifact maturity
GitHub and Hugging Face maturity payloads
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stale
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Technical feasibility
partial
Current read
Runnable path is not fully verified.
Evidence
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Gaps
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Run minimal reproduction from the Build Passport prototype path.
Market urgency
missing
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Evidence
0 references, 0 sources, 17% evidence coverage.
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Buyer clarity
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Integration burden
missing
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No public implementation surface observed.
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Write integration checklist from prototype path and target workflow.
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Classify regulatory flags before commercialization planning.
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Paper authors are not treated as operators without consent.
People
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ARTIFACTS
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DEFENSIBILITY
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WATCHTOWER
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