HOL Light is an interactive theorem prover and proof checker for formalising and proving mathematical theorems in higher-order logic. Written in OCaml, the software uses the OCaml toplevel as its front end.
The prover has a small logical core designed to maintain a high standard of correctness. It includes automated proof tools and extensive libraries of pre-proved results covering areas such as arithmetic, set theory, and real analysis.
This is free and open source software.
Key Features
- Interactive theorem proving and proof checking.
- Formal reasoning in higher-order logic.
- Small logical core designed for strong correctness guarantees.
- Automated tools help reduce the work required to construct proofs.
- Libraries of pre-proved mathematical theorems.
- Includes results covering arithmetic, basic set theory, and real analysis.
- Fully programmable and extensible using OCaml.
- Supports adding new theorems and inference rules without compromising soundness.
- Uses the OCaml toplevel as its interactive front end.
Website: github.com/jrh13/hol-light
Support:
Developer: John Harrison and contributors
License: BSD-2-Clause
HOL Light is written in OCaml. Learn OCaml with our recommended free books and free tutorials.
Related Software
| Proof Assistants | |
|---|---|
| Rocq Prover | Formal proof management system |
| Isabelle | Generic proof assistant; express mathematical formulas in a formal language |
| Lean | Programming language and theorem prover |
| Agda | Interactive system for writing and checking proofs |
| F* | Functional language for verified programs with dependent refinement types |
| HOL4 | Interactive higher-order logic environment for rigorous theorem development |
| Aya | Dependently typed language for formalisation and certified programming |
| Lambdapi | Logical framework for defining and checking expressive type systems |
| HOL Light | Lightweight higher-order logic system with a small trusted kernel |
| PVS | Specification and verification suite for analysing complex systems |
| LISA | Scala-based platform for formal mathematics and automated reasoning |
Read our verdict in the software roundup.
 Explore our carefully curated directory of recommended free and open source software, covering every major software category.The directory forms part of our extensive collection of articles for Linux enthusiasts. It includes hundreds of detailed reviews, together with free and open source alternatives to proprietary software from companies such as Google, Microsoft, Apple, Adobe, IBM, Cisco, Oracle, and Autodesk. LinuxLinks also covers interesting projects worth exploring, Linux-compatible hardware, free programming books and tutorials, and much more. Know a useful free and open source Linux application that we haven’t covered? Tell us about it using our submission form. |
Please read our Comment Policy before commenting.