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rocq-prover/rocq

The Rocq Prover is an interactive theorem prover, or proof assistant. It provides a formal language to write mathematical definitions, executable algorithms and theorems together with an environment for semi-interactive development of machine-checked proofs. observed · 2026-08-28

github.com/rocq-prover/rocq · homepage · OCaml · LGPL-2.1 (copyleft) observed · 2026-08-28

Health v2 · maintenance only

83/100

  • Activity 99
  • Release rhythm 53
  • Longevity 100
How is this computed?

round(0.45*activity + 0.35*rhythm + 0.20*longevity); archived -> min(score, 10) — computed 2026-09-03. Adoption (stars, forks) is never an input.

  • gap_med: 94.0
  • age_days: 5676
  • days_rel: 159
  • days_push: 7
  • n_releases_24m: 7

Full methodology

Adoption not part of the score

5556 stars · 755 forks observed · 2026-08-28

What it is AI-extracted, prompt v1, taxonomy v1, 2026-08-29, confidence not recorded

The Rocq Prover (formerly Coq) is an interactive theorem prover and proof assistant based on the Calculus of Inductive Constructions, providing a formal language (Gallina) for writing mathematical definitions, executable algorithms, and machine-checked proofs. It also serves as a dependently-typed programming language that can extract certified programs to OCaml, Haskell, or Scheme.

Use cases

  • formally verify that programs comply with their specifications
  • mechanize mathematical proofs with machine-checked correctness
  • write dependently-typed programs and extract them to OCaml or Haskell
  • learn type theory and formal methods with Software Foundations
  • formalize mathematics at scale with high-level notations
  • define custom proof tactics and decision procedures
  • verify compiler or protocol correctness in research and industry

When to choose

  • you need machine-checked proofs of mathematical theorems or software correctness
  • you want a mature, industrial-strength proof assistant with 40+ years of development
  • you need certified program extraction to OCaml, Haskell, or Scheme
  • you are teaching or learning formal verification and programming language theory

When to avoid

  • you need an automated SMT solver rather than interactive proof development
  • you want a general-purpose programming language without proof obligations
  • you need lightweight runtime verification rather than heavyweight formal proof
  • your team has no capacity to learn a steep, tactic-based proof workflow

Facets

application · maturity stable

interpreter programming-language developer-tools mathematics education programming-languages compilers windows cross-platform proof-assistant theorem-proving dependent-types formal-verification coq gallina machine-checked-proofs program-extraction algorithms linux macos

10 sources

Member repositories

RepositoryRoleHealth v2
rocq-prover/rocqmain83

For agents

markdown · JSON · MCP: product_card(name="rocq-prover/rocq")

Data as of 2026-08-30T08:39:29.467469+00:00 · Report a problem