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Research Article · Open access · Published 14 October 2020

Topological Beth Model and its Application to Functionals of High Types

Farida Kachapova1

Journal of Mathematics and Statistics, Volume 16, Issue 1, pp. 212–223 · doi.org/10.3844/jmssp.2020.212.223

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Abstract

Based on the definition of Beth-Kripke model by Dragalin, we describe Beth model from the topological point of view. We show the relation of the topological definition with more traditional relational definition of Beth model that is based on forcing. We apply the topological definition to construct a Beth model for a theory of intuitionistic functionals of high types and to prove its consistency

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Kachapova, F. (2020). Topological Beth Model and its Application to Functionals of High Types. Journal of Mathematics and Statistics, 16(1), 212–223. https://doi.org/10.3844/jmssp.2020.212.223

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Topological Beth Model and its Application to Functionals of High TypesJournal of Mathematics and Statistics · Volume 16, Issue 1 · pp. 212–223 · CC BY 3.0Download