HOL Light vs Rocq
HOL Light
hol-light.github.io
Rocq
rocq-prover.orgSide by side
| Figure | HOL Light | Rocq |
|---|---|---|
| Price from | — | Free |
| Free plan | — | Yes |
| Free trial | — | — |
| Open source | — | — |
| Web | Yes | Yes |
| Windows | Yes | Yes |
| macOS | Yes | Yes |
| Linux | Yes | Yes |
| Self-hosted | Yes | — |
| Plans published | 0 | 1 |
| Spec score · Formal Verification Tools | 7.5 (#21) | 8.5 (#3) |
| Proof checking | The project describes HOL Light as an interactive theorem prover and proof checker. | Rocq machine-checks proofs using a relatively small certification kernel. |
| Purpose | HOL Light is a computer program for formally proving mathematical theorems in higher-order logic. | Rocq Prover is an interactive theorem prover and proof assistant for developing mathematical proofs, formal specifications, programs and proofs that programs meet specifications. |
Plans
In their own words
HOL Light
HOL Light has no write-up on Specifiction yet; its figures are above.
Rocq
Rocq is a free interactive theorem prover and proof assistant for building mathematical proofs, formal specifications and programs, including proofs that programs meet specifications. Its Gallina language supports specification and mathematical work and is based on the Polymorphic, Cumulative Calculus of Inductive Constructions. A relatively small certification kernel machine-checks proofs. Rocq also offers interactive proof methods, decision and semi-decision algorithms, and a tactic language for defining methods. Certified programs can be extracted to OCaml, Haskell or Scheme, and the system can connect with external computer algebra systems or theorem provers. The Rocq Platform bundles the core prover with libraries and plugins for development and teaching. Its scripts install Rocq and packages on macOS, Windows and many Linux distributions; precompiled installers are available for macOS and Windows, but not Linux. Editor options include the VsRocq Visual Studio Code extension, RocqIDE, Proof General and Coqtail. Rocq is written in OCaml and distributed under the GNU Lesser General Public Licence Version 2.1.