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arXiv · 2605.16157

Verifiers and Generators: Epistemic Semantics for Intuitionistic Logic (Long Version)

Pablo Barenbaum
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Abstract

This paper explores epistemic realizability, a form of realizability in which the property that a piece of data constitutes evidence for a logical proposition is semi-decidable. In this framework, each proposition A is assigned a verifier} program that checks whether a datum X is a realizer for A, and a dual generator program that behaves as a generic realizer for X. We propose epistemic realizability interpretations for minimal logic, second-order intuitionistic logic, and higher-order intuitionistic logic, proving that each system is sound and complete under the proposed semantics.

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Pablo Barenbaum. 2026-05-15. Verifiers and Generators: Epistemic Semantics for Intuitionistic Logic (Long Version). https://arxiv.org/abs/2605.16157

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