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HOL Light Tutorial

hol-light.github.io5 points0 comments
Screenshot of HOL Light Tutorial

A concise, example-driven quick-start for using HOL Light, aimed at getting newcomers productive faster than the comprehensive manual. It presents a graded sequence of hands-on exercises and explanations that introduce core concepts (terms, types, theorems), proof techniques (tactics, tacticals, conversions, rewriting), and higher-level developments (inductive definitions, wellfounded induction, recursive definitions). The presentation moves from propositional logic and equational reasoning through first-order quantifiers, number systems and decision procedures, to substantial applications such as semantics of programming languages, verification, number theory (including Fermat’s Little Theorem and RSA), real analysis and formalized mathematics like Chebyshev polynomials. Advanced topics include custom tactics, new type and inference-rule definitions, vector/geometry formalizations, and embedding or linking other tools.

Practical setup and workflow are covered in detail: Windows users are guided to WSL or Cygwin; OCaml is required and recommended to be installed (or built) before HOL Light; installation options include OPAM or system package managers or building from the GitHub source, with commands to clone, run make, and start the interactive OCaml session via hol.sh. Guidance on creating local OPAM switches (OCaml 4 or 5), activating environments, and expected load-time behavior is provided. Editor support via a Visual Studio Code HOL Light extension (syntax highlighting, stepping tactics, tooltips, jump-to-definition) and pointers to integrating external tools (Maxima) round out the hands-on workflow.

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