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Publications in Math-Net.Ru
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Automation of artificial neural network architectures search
Intelligent systems. Theory and applications, 27:4 (2023), 5–27
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Basic Predicate Calculus is Sound with Respect to a Modified Version of Strictly Primitive Recursive Realizability
Mat. Zametki, 114:6 (2023), 827–847
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Basic Predicate Calculus is not Sound with Respect to the Strong Variant of Strictly Primitive Recursive Realizability
Mat. Zametki, 111:2 (2022), 241–257
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General recursive realizability and intuitionistic logic
Algebra Logika, 60:2 (2021), 137–144
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Basic logic is sound with respect to absolute $L$-realizability
Intelligent systems. Theory and applications, 25:2 (2021), 49–54
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$ \Lambda$-expressions for primitive recursive functions in the Grzegorczyk hierarchy
Intelligent systems. Theory and applications, 25:1 (2021), 107–125
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General recursive realizability and basic logic
Algebra Logika, 59:5 (2020), 542–566
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The non-extensional constructive set theory is sound with respect to the sematics of the arithmetic realizability based on hyperarithmetic sorts
Intelligent systems. Theory and applications, 24:1 (2020), 73–77
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Generalized realizability and the Markov principle
Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 1, 60–64
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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
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The Zermelo–Fraenkel set theory is not sound with respect to the constructive sematics based on hyperarithmetic sorts
Intelligent systems. Theory and applications, 23:2 (2019), 159–163
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The criterion of the soundness and the comleteness of the classical logic with respect to the $V$-realizability
Intelligent systems. Theory and applications, 23:1 (2019), 133–136
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Markov's principle is uniformly $V$-realizable in any $V$-enumerable domain
Intelligent systems. Theory and applications, 23:1 (2019), 99–103
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Generalized realizability for extensions of arithmetic language
Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 4, 50–54
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Absolute $L$-realizability and intuitionistic logic
Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 2, 50–53
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Reports from the Automata Theory seminar
Intelligent systems. Theory and applications, 22:4 (2018), 137–142
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All absolute arithmetically realizable predicate formulas are classically true
Intelligent systems. Theory and applications, 22:4 (2018), 111–114
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The $V$-realizability for $L$-formulas coincides with the classical semantics if $V$ contains all $L$-definable functions
Intelligent systems. Theory and applications, 22:3 (2018), 127–130
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The intuitionistic logic is not sound with $L$-realizability
Intelligent systems. Theory and applications, 22:3 (2018), 41–44
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The semantics of realizability for the constructive set theory based on hyperarithmetical predicates
Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 3, 59–62
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Arithmetical realizability and primitive recursive realizability
Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 4, 60–64
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Arithmetical realizability and basic logic
Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 1, 52–56
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On Hyperarithmetical Realizability
Mat. Zametki, 98:5 (2015), 725–746
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