Functional Pearl: Witness Me -- Constructive Arguments Must Be Guided with Concrete Witness

Hiromi Ishii

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arXiv · 2103.11751

Functional Pearl: Witness Me -- Constructive Arguments Must Be Guided with Concrete Witness

Hiromi Ishii

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Abstract

Beloved Curry--Howard correspondence tells that types are intuitionistic propositions, and in constructive math, a proof of proposition can be seen as some kind of a construction, or witness, conveying the information of the proposition. We demonstrate how useful this point of view is as the guiding principle for developing dependently-typed programs.

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Hiromi Ishii. 2021-03-22. Functional Pearl: Witness Me -- Constructive Arguments Must Be Guided with Concrete Witness. https://arxiv.org/abs/2103.11751

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