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Functional Pearl: Witness Me -- Constructive Arguments Must Be Guided with Concrete Witness (2103.11751v1)

Published 22 Mar 2021 in cs.PL and cs.LO

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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