Verifiers and Generators: Epistemic Semantics for Intuitionistic Logic (Long Version)
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910223934947328 |
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| author | Barenbaum, Pablo |
| author_facet | Barenbaum, Pablo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_16157 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Verifiers and Generators: Epistemic Semantics for Intuitionistic Logic (Long Version) Barenbaum, Pablo Logic in Computer Science 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. |
| title | Verifiers and Generators: Epistemic Semantics for Intuitionistic Logic (Long Version) |
| topic | Logic in Computer Science |
| url | https://arxiv.org/abs/2605.16157 |