F* vs HOL4
F*
fstar-lang.orgHOL4
hol-theorem-prover.orgSide by side
| Figure | F* | HOL4 |
|---|---|---|
| Price from | Free | Free |
| Free plan | Yes | Yes |
| Free trial | — | — |
| Open source | — | — |
| Windows | Yes | Yes |
| macOS | Yes | Yes |
| Linux | Yes | Yes |
| Self-hosted | Yes | Yes |
| Plans published | 1 | 1 |
| Spec score · Formal Verification Tools | 8.0 (#11) | 8.1 (#9) |
| Development | F* is open source on GitHub and is under active development by Microsoft Research, Inria, and the community. | HOL is a collaborative project hosted on GitHub and welcomes code contributions via pull requests. |
| License | F* is distributed under the Apache 2.0 license. | HOL is free software released under the Modified (3-clause) BSD licence. |
| Purpose | F* is a general-purpose proof-oriented programming language for purely functional and effectful programming. | HOL4 is a proof assistant for higher-order logic and a programming environment for proving theorems and implementing proof tools. |
Plans
In their own words
HOL4
HOL4 is a free, interactive proof assistant for higher-order logic, with a programming environment for proving theorems and building proof tools. It supports work that combines deduction, execution, and property checking. Built-in decision procedures and theorem provers can establish many simple theorems, and an oracle mechanism can connect to external programs such as SMT and BDD engines. HOL4 supports higher-order logic and Standard ML, and can produce proof artifacts and counterexamples. It is self-hosted and listed for Linux, macOS, and Windows. A Standard ML compiler is required, with Poly/ML recommended; Moscow ML and MLTon are also supported for building tool executables. Windows installation can use Cygwin or the Windows Linux subsystem with Poly/ML. Moscow ML is another option, but the Windows guide notes that it is slower, lacks some Poly/ML libraries, and cannot run concurrent Holmake builds. HOL includes Emacs modes for syntax display and session interaction, and the installation guide links to Vim plugin documentation. Online materials include a tutorial, quick reference, FAQ, manuals, and generated indexes.