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Encoding true second-order arithmetic in the real-algebraic structure of models of intuitionistic elementary analysis

Erdélyi-Szabó, Miklós (2021) Encoding true second-order arithmetic in the real-algebraic structure of models of intuitionistic elementary analysis. MATHEMATICAL LOGIC QUARTERLY, 67 (3). ISSN 0942-5616

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Abstract

Based on the paper [4] we show that true second-order arithmetic is interpretable over the real-algebraic structure of models of intuitionistic analysis built upon a certain class of complete Heyting algebras.

Item Type: Article
Additional Information: Export Date: 13 January 2022 Correspondence Address: Erdélyi-Szabó, M.; Rényi Alfréd Institute of Mathematics, 1053 Budapest, Reáltanoda u. 13-15, Hungary; email: mszabo@renyi.hu Funding text 1: The author would like to thank the anonymous referee whose comments helped to considerably improve the?manuscript.
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 14 Jan 2022 08:18
Last Modified: 14 Jan 2022 08:18
URI: http://real.mtak.hu/id/eprint/135879

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