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Curry-Howard-Lambek Correspondence for Intuitionistic Belief
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Curry-Howard-Lambek Correspondence for Intuitionistic Belief
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Curry-Howard-Lambek Correspondence for Intuitionistic Belief
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Paper
Curry-Howard-Lambek Correspondence for Intuitionistic Belief
2020
Overview
This paper introduces a natural deduction calculus for intuitionistic logic of belief \\(IEL^-\\) which is easily turned into a modal \\(\\)-calculus giving a computational semantics for deductions in \\(IEL^-\\). By using that interpretation, it is also proved that \\(IEL^-\\) has good proof-theoretic properties. The correspondence between deductions and typed terms is then extended to a categorical semantics for identity of proofs in \\(IEL^-\\) showing the general structure of such a modality for belief in an intuitionistic framework.
