Machine-checked statistical learning theory in Lean 4: empirical-Bernstein and time-uniform PAC-Bayes, Markov risk, Rademacher/VC, and Dudley chaining.
MathTensor Lean 4 formalizations of Putnam 2025 problems, with machine-verified Mathlib proofs.
University Master Thesis
A complete navigation index for every one of Mathlib4's 9,150 modules — plain-English descriptions, systematic disambiguation of similarly named modules, and five deliverables: JSON, RAG export, Claude Skill, spreadsheet, and website.
Simplify arithmetic expressions of ENNReal numbers in Lean4
Formal verification of the logical incompatibility between the P=NP hypothesis and the Witten-Helffer-Sjöstrand tunneling theorems in spectral geometry. Implemented in Lean 4.
Formally verified MBSE framework in Lean 4 — dependent type semantics for SysML v2 / KerML with V&V matrix completeness by type checking
APM-installable agent skills for Lean 4 and Mathlib4 — proof tactics, math domains, review and research workflows, generic tooling.
Formalised mathematics in Lean 4.
Retrieval-grounded reviewer-memory tool over closed-PR review history of leanprover-community/mathlib4. Indexes ~158k past reviewer comments across ~35k closed PRs to flag concerns past reviewers have raised before.
Lean 4 formalization of Gleason's theorem via Busch's effects formulation
Lean 4 formalization of ord_{2^t}(3) = 2^{t-2} and supporting lemmas for Collatz analysis
Lean 4 tower: 22 GREEN — Core 0 axioms, proofs [propext] only. IsBealSolutionCore has no axioms (multiplication witnesses), B14 REAL p∤N, Beal ⇒ Fermat. Part of Opera Numerorum.
Automated theorem generalization in Lean
A literature library for Lean4.
Lean Proofs for Admissible Structure Theory
29,750 competition-math proofs migrated from Lean 4.8 to Lean 4.27 with 60K traced tactic pairs
Axiomatic framework for Dual Sets Theory (DST) and Bio-Resonance in Lean 4
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