A Friedman--Sheard-style Theory for Classical Realisability

Fuente: arXiv
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Main Authors: Hayashi, Daichi, Leigh, Graham E.
Format: Preprint
Published: 2025
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author Hayashi, Daichi
Leigh, Graham E.
author_facet Hayashi, Daichi
Leigh, Graham E.
contents 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).
format Preprint
id arxiv_https___arxiv_org_abs_2503_22319
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Friedman--Sheard-style Theory for Classical Realisability
Hayashi, Daichi
Leigh, Graham E.
Logic
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).
title A Friedman--Sheard-style Theory for Classical Realisability
topic Logic
url https://arxiv.org/abs/2503.22319