rocq ☆

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Description:
Proof assistant for higher-order logic

Type: Formula | Tracked Since: Dec 28, 2025

Links: Homepage | formulae.brew.sh

Category: Developer tools

Tags: proof-assistant formal-verification theorem-prover logic mathematics

Install: brew install rocq

About:
Rocq is a proof assistant designed for formalizing mathematical theorems and verifying software correctness. It provides a rich expressive language based on dependent type theory, allowing users to write precise specifications and machine-checked proofs. Its main value proposition is enabling the development of highly reliable software and rigorous mathematical formalizations.

Key Features:

Dependent type theory core
Extensive standard library
Plugin architecture for extensions
Tactics for interactive proof construction

Use Cases:

Formalizing mathematical proofs
Verifying correctness of critical software
Research in programming languages and logic

Alternatives:

Lean – Lean focuses on automation and performance, while Rocq offers a mature ecosystem and extensive libraries.
Isabelle – Isabelle uses a meta-logic (LCF-style) and offers Isar, a readable proof language, whereas Rocq is based on dependent type theory.

Version History

Detected	Version	Rev	Change	Commit
Oct 4, 2025 11:10pm		0	VERSION_BUMP	bcefff82
Sep 11, 2025 5:24am		1	VERSION_BUMP	d0c6cbcd