Rocq Prover is an interactive theorem prover that provides a formal language for writing mathematical definitions, executable algorithms, and theorems alongside an environment for semi-interactive development of machine-checked proofs.
The tool addresses the need to verify mathematical and computational claims with absolute certainty by allowing developers to write formal specifications and construct proofs interactively. Users write definitions and theorems in Rocq's formal language, then work through proof goals step by step with the prover's assistance, receiving feedback that guides them toward valid machine-checked proofs. This approach combines the expressiveness of dependent types with practical tooling for proof development.
Rocq suits mathematicians, computer scientists, and software engineers who need formal verification of critical properties—whether proving theorems in pure mathematics, verifying algorithm correctness, or establishing security properties of systems. It works well for projects where mathematical rigor is essential and where the investment in formal proof development is justified by the assurance gained. The tool is particularly valuable when proofs must be machine-checked and auditable, as opposed to informal mathematical arguments.
The project maintains active community engagement through multiple channels including a Zulip chat for discussion and a Discourse forum for structured Q&A. Documentation is comprehensive, with a reference manual, standard library documentation, and ML API reference continuously deployed from the master branch, alongside a wiki and FAQ maintained by the user community. The project tracks incompatibilities and changes carefully across versions, publishing detailed release notes to help users navigate upgrades. Bug reports are welcomed through the issue tracker and the team provides clear guidelines for contributors interested in participating in development.
