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
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|---|---|
| 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 |
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