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

Mathematical Logic Quarterly 67 (3):329-341 (2021)
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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.

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References found in this work

A Topological Model for Intuitionistic Analysis with Kripke's Scheme.M. D. Krol - 1978 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 24 (25-30):427-436.
A Topological Model for Intuitionistic Analysis with Kripke's Scheme.M. D. Krol - 1978 - Mathematical Logic Quarterly 24 (25‐30):427-436.
Elementary intuitionistic theories.C. Smorynski - 1973 - Journal of Symbolic Logic 38 (1):102-134.
A new model for intuitionistic analysis.Philip Scowcroft - 1990 - Annals of Pure and Applied Logic 47 (2):145-165.

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