Modal Type Theory Based on the Intuitionistic Modal Logic \mathbf{IEL}^{-}$$ (original) (raw)

Lecture Notes in Computer Science, 2019

Abstract

The modal intuitionistic epistemic logic \(\mathbf{IEL}^{-}\) was proposed by Artemov and Protopopescu as the intuitionistic version of belief logic. We construct the modal lambda calculus which is Curry-Howard isomorphic to \(\mathbf{IEL}^{-}\) as the type-theoretical representation of applicative computation widely known in functional programming.

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