Lean 4 programming language and theorem prover
The math library of Lean 4
LLMs as Copilots for Theorem Proving in Lean
A collection of formalized statements of conjectures in Lean.
Plan, apply and roll back changes to a production ontology, with a blast radius report and a proof an auditor can re-check.
Unified Rust framework for building, verifying, and testing web apps. Kernel-based architecture for Lean 4 verification and GPU acceleration. Built-in red-teaming tools for automated vulnerability detection.
Observer Patch Holography: finite observer consensus, machine-checked mathematics and reproducible models for reconstructing physical structure.
Neovim support for the Lean theorem prover
Server to host Lean games
Lean Theorem Prover MCP
Composable mathematics tools for agents
Neuro-symbolic agents with verified memory. MCP math tools, an algebra repair Skill, and an open challenge. Verify solutions, learn checked rules, and reuse.
Formally verified 3D mesh intersection - trust 93 lines of spec, not 1000+ lines of AI-written code
Arbitrary verified fast precision floating point arithmetic in Lean, with proofs, optimized backends, and support for IEEE binary and decimal, posits, and custom formats.
A proof of Conway's refinement conjecture in Lean
Lean 4 + the Sail-generated RISC-V ISA model prove, CompCert-style, that an inductive WHILE semantics abstracts a real interpreter binary β zero sorries, zero axioms
Agent skills for writing research mathematics in LaTeX and building audited visual companion websites for papers.
The mass gap over the compact simple groups
Packet Language for On-device Warps β a GPU inference compiler and runtime
Real analysis formalized in Lean 4 from nothing β the reals are constructed here. No mathlib, no external dependencies, no typeclasses.
Integer multiplication below n log n: a conditional witness kappa = 6685733/10^10 (> 2^-11) for T(n) = O(n (log n)^(1-kappa)) in the multitape model, building on OpenAI's problem and Colkitt's integer-mult-bounds: certificates, independent replays, Lean 4 checks