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arXiv · 2404.05458

Teaching Higher-Order Logic Using Isabelle

Simon Tobias Lund·Jørgen Villadsen
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Abstract

We present a formalization of higher-order logic in the Isabelle proof assistant, building directly on the foundational framework Isabelle/Pure and developed to be as small and readable as possible. It should therefore serve as a good introduction for someone looking into learning about higher-order logic and proof assistants, without having to study the much more complex Isabelle/HOL with heavier automation. To showcase our development and approach we explain a sample proof, describe the axioms and rules of our higher-order logic, and discuss our experience with teaching the subject in a classroom setting.

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Simon Tobias Lund, Jørgen Villadsen. 2024-04-08. Teaching Higher-Order Logic Using Isabelle. https://doi.org/10.4204/eptcs.400.5

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