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HOL Light vs Lean

HOL Light

6.0#19 in formal verification tools
WebLinuxmacOSSelf-hosted
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Lean

6.9#1 in formal verification toolsFree plan
Free planWebLinuxmacOSWindows
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What both publish

FactHOL LightLean
Editor integrationThe official site links to a Visual Studio Code extension for HOL Light.The recommended setup uses VS Code and the official Lean 4 extension, which provides syntax highlighting and code completion.
ExtensibilityHOL Light is fully programmable, allowing users to extend it with new theorems and inference rules without compromising soundness.Lean's metaprogramming capabilities let users add domain-specific notation and proof automation.
Proof checkingHOL Light is an interactive theorem prover and proof checker with a logical core the site describes as simple and exacting about correctness.Lean's minimal trusted kernel is described as guaranteeing correctness in mathematical proof, software verification, and hardware verification.
Security and trustWhen compiling with HOLLIGHT_USE_MODULE=1, the repository documentation says the trusted base expands to include the inline_loads.ml script.The Lean FRO privacy policy says it collects communication information when users contact it and describes practices for transferring, retaining, and protecting personal information.

HOL Light plans

No prices published.

Lean plans

  • Lean 4Free

Pick HOL Light if…

HOL Light suits users working with deductive, higher-order-logic theorem proving who are comfortable with OCaml-based tooling. It supports self-hosted installations across Linux, macOS, Windows configurations, and browser use.

Pick Lean if…

Lean suits programmers, theorem provers, and mathematicians working with formalization, proof checking, or software verification. Its general coding capability and browser version may also suit users exploring Lean before choosing a local setup.

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