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arXiv · 2503.22319

A Friedman--Sheard-style Theory for Classical Realisability

Daichi Hayashi·Graham E. Leigh
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Abstract

In Hayashi and Leigh (2024), the authors formulate classical number realisability for first-order arithmetic and a corresponding axiomatic system based on Krivine's classical realisability interpretation. This paper presents a self-referential generalisation of previous results in the spirit of Friedman and Sheard (1987).

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BibTeXRIS

Daichi Hayashi, Graham E. Leigh. 2025-03-28. A Friedman--Sheard-style Theory for Classical Realisability. https://arxiv.org/abs/2503.22319

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