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Formal verification for AI: a Lean 4 + Dafny proof checker that catches fake AI proofs (reward hacking), and verified recursive self-improvement (RSI) for coding agents. AI for math, physics and software engineering.
Lean certificates accompanying Navier-Stokes and Euler results
An axiom-free formalization of category theory in Coq for personal study and practical work
A Library for Representing Recursive and Impure Programs in Coq
A formalization of geometry in Coq based on Tarski's axiom system
A library of abstract interfaces for mathematical structures in Coq [maintainer=@spitters,@Lysxia]
A library of Coq definitions, theorems, and tactics. [maintainers=@gmalecha,@liyishuai]
Verified hash-based AMQ structures in Coq
Coq Repository at Nijmegen [maintainers=@spitters,@VincentSe,@Lysxia]
Variations on Kirby & Paris' hydra battles and other entertaining math in Coq (collaborative, documented, includes exercises) [maintainer=@Casteran]
Monadic effects and equational reasoning in Rocq
The Coq Effective Algebra Library [maintainers=@CohenCyril,@proux01]
Regular Language Representations in Coq [maintainers=@chdoc,@palmskog]
Graph Theory [maintainers=@chdoc,@damien-pous]
Prime numbers for Coq
Coq library for reasoning on randomized algorithms [maintainers=@anton-trunov,@volodeyka]
A certified Sudoku solver in Coq [maintainers=@siraben,@thery]
Coq formalization of algorithms due to Tarjan and Kosaraju for finding strongly connected graph components using Mathematical Components and SSReflect [maintainers=@CohenCyril,@palmskog]
Extra contribution for mathcomp