proof-automation

Lean 3's obsolete mathematical components library: please use mathlib4

Verification infrastructure for the Isabelle/HOL interactive proof assistant

⛏️ A refinement proof framework for haskell

Proof Updater Mechanically Passing Knowledge Into New Proofs, Assisting The Coq Hacker

Proof automation – for Agda, in Agda.

A web-based graphical proof assistant for LK and Hoare logic.

Micromega tactics for Mathematical Components

multi-logic proof generator

a linear logic prover based on Naoyuki Tamura's llprover that works under SWI Prolog

Library for formalizing cryptography proofs in Lean 3 (Deprecated)

Lean Optics provides an implementation of profunctor optics for Lean 4, featuring law-carrying composition, automated proof generation, and production-ready performance guarantees. Built on solid mathematical foundations, it offers a API for working with lenses, prisms, and traversals in functional programming.

The Open Deduction Proof Editor allows proof theorists (or anyone) to deconstruction proofs step by step. It currently supports deep inference formalisms, namely Open Deduction and naturally the Calculus of Structures. The front end of the application is written in Java, while the back end is written in Maude. There is also an implementation of …

A Lean 4 tactic library that simplifies category theory proofs using (co)Yoneda isomorphisms

Category Normal Form for Lean 4

An MCP server for deterministic probing and search of Lean 4 proof automation (Aesop / Grind).

Real downstream Lean demo for Proof Broker: 19/19 VerInf obligations closed through certificate-backed external proof search.

A certificate boundary for untrusted proof search. Lean 4 and Rocq goals go out to SMT solvers, provers and language models; a result counts only if its certificate checks and the kernel accepts the proof. R6: an audited live-model evaluation.

Failed Lean proofs, classified and repaired. Search tactics stay out of the reviewed scripts.

Find avoidable axiom dependencies in Metamath databases, and build the proofs that remove them. Nine contributions merged into set.mm.