Epistemic realizability assigns verifier and generator programs to propositions and proves soundness and completeness for minimal, second-order, and higher-order intuitionistic logic.
If ๐1 =โ a, then ๐1 reduces at the root, so ๐1 =โจ aโฉโ a โ๐ค โ and this is the only way to reduce ๐1
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Verifiers and Generators: Epistemic Semantics for Intuitionistic Logic (Long Version)
Epistemic realizability assigns verifier and generator programs to propositions and proves soundness and completeness for minimal, second-order, and higher-order intuitionistic logic.