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Intelligent systems. Theory and applications, 2019, Volume 23, Issue 3, Pages 131–134 (Mi ista243)  
Part 3. Mathematical models

The intuitionistic set theory is not sound with respect to the constructive sematics based on hyperarithmetic sorts

A. Yu. Konovalov
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Abstract: The soundness of axioms of the intuitionistic set theory with respect to the realizability semantics based on hyperarithmetical sorts is studied.
Keywords: constructive semantics, realizability, axiomatic set theory, hyperarithmetical sorts.
Document Type: Article
Language: Russian
Citation: A. Yu. Konovalov, “The intuitionistic set theory is not sound with respect to the constructive sematics based on hyperarithmetic sorts”, Intelligent systems. Theory and applications, 23:3 (2019), 131–134
Citation in format AMSBIB
\Bibitem{Kon19}
\by A.~Yu.~Konovalov
\paper The intuitionistic set theory is not sound with respect to the constructive sematics based on hyperarithmetic sorts
\jour Intelligent systems. Theory and applications
\yr 2019
\vol 23
\issue 3
\pages 131--134
\mathnet{http://mi.mathnet.ru/ista243}
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