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Об интерпретациях арифметики Пресбургера в арифметиках Бюхи
Доклады Российской академии наук. Математика, информатика, процессы управления (ранее - Доклады Академии Наук. Математика). 2023. Т. 510. С. 3–7.
Büchi arithmetics BAn, , are extensions of Presburger arithmetic with an unary functional symbol
denoting the largest power of n that divides x. Definability of a set in BAn is equivalent to its recognizability
by a finite automaton receiving numbers in their n-ary expansion. We consider the interpretations of Presburger
Arithmetic in the standard model of BAn and show that each such interpretation has an internal model
isomorphic to the standard one. This answers a question by A. Visser on the interpretations of certain weak
arithmetical theories in themselves.
Pilé I., Shchur L., Deng Y., Physical Review B: Condensed Matter and Materials Physics 2026 Vol. 114 Article 014101
We investigate the spatial overlap of successive spin configurations in Markov chain Monte Carlo simulations using the local Metropolis algorithm and the Swendsen-Wang and Wolff cluster algorithms. We examine the dynamics of these algorithms for models in different universality classes: Ising model, Potts model with three components, and four-state Potts model. The overlap of two ...
Added: July 6, 2026
Irkutsk: ISDCT SB RAS, 2026.
We study a model problem on the filtration of a conducting fluid through a
porous layer. A porous medium is presented as an assemblage of identical spherical
cells. Each cell consists of a porous core and liquid shell. We derive apriori estimates
for flow characteristics which show the specific behavior of the fluid. Our estimates
are validated numerically. ...
Added: July 5, 2026
М.: Наука и технологии, 2026.
«Телекоммуникации» ежемесячный рецензируемый производственный, информационно-аналитический и учебно-методический журнал выходит в свет с июля 2000 г.
Для руководителей и работников промышленности, научно-исследовательских и проектно-конструкторских институтов, высших учебных заведений, аспирантов и студентов, а также для специалистов, разрабатывающих, выпускающих и эксплуатирующих средства телекоммуникаций.
Новости разработок и производства, прогнозы развития, защита информации, Нормативные, справочные, аналитические и учебно-методические материалы.
Переход к глобальному информационному ...
Added: July 4, 2026
МФТИ, 2025.
абота редакции научного журнала «Труды Московского физико-технического института» (кратко «Труды МФТИ»), редакционной коллегии и редакционного совета осуществляется в соответствии с Положением, утвержденным ректором института. В состав редакционной коллегии входят руководители института, факультетов, институтских и факультетских кафедр. Главный редактор журнала —президент МФТИ, член-корр. РАН Кудрявцев Н.Н.
Журнал «Труды МФТИ» входит в базу данных РИНЦ (Российский Индекс Научного Цитирования) и доступен в электронной ...
Added: July 4, 2026
Springer, 2026.
This book presents established and new research on the close connections between graph games and systems of logic, particularly existing and newly designed modal logics. The volume utilizes two graph games – the sabotage game and the hide-and-seek game – to demonstrate the natural interplay between designing new graph games and exploring new kinds of ...
Added: June 30, 2026
Pochinka O., Barinova M., Journal of Geometry and Physics 2026 Vol. 228 P. 1–8
In the present paper we consider an Ω-stable 3-diffeomorphism with a solid or thickened surfaced non-trivial basic set. Such basic sets include, for instance, all one-dimensional expanding attractors and those two-dimensional basic sets that are not expanding. We prove that the chain recurrent set of every such a diffeomorphism necessarily contains at least two non-trivial ...
Added: June 30, 2026
German O., Illarionov A., Известия РАН. Серия математическая 2026 Т. 90 № 3 С. 3–18
Пусть симплекс с целочисленными вершинами - содержащий ровно одну целочисленную точку, отличную от своих вершин. В работе доказывается, что если точка находится во внутренности симплекса или в относительной внутренности некоторой гиперграни симплекса, то объем симплекса ограничен величиной, зависящей только от размерности, в противном случае объем симплекса может быть сколь угодно большим. Этот результат применяется для вывода асимптотической формулы для среднего числа вершин полиэдров ...
Added: June 29, 2026
Ivchenko A., Nigmatullin R. R., Dorokhin S. V., Mathematics 2021 Vol. 9 No. 4 Article 381
n this paper, we focus on the generalization of the Hurst empirical law and suggest a set of reduced parameters for quantitative description of long-time series. These series are usually considered as a specific response of a complex system (economic, geophysical, electromagnetic and other systems), where successive fixations of external factors become impossible. We consider ...
Added: June 27, 2026
Ivchenko A., Shestoperov A. I., Fomina E. V., Microgravity Science and Technology 2025 Vol. 37 No. 19 P. 1–19
The paper is dedicated to the analysis of medico-biological data obtained during locomotor testing of astronauts. Accurate data interpretation plays a crucial role in locomotion system monitoring, prophylaxis of long-duration spaceflight negative effects and thus in the development of an autonomous medical support system for deep space expeditions. During the locomotor testing the astronaut changes ...
Added: June 26, 2026
Gadzhimirzaev S., Хельвас А. В., 2023 3rd International Conference on Innovative Research in Applied Science, Engineering and Technology (IRASET) Mohammedia, Morocco 2023 P. 1–6
The article proposes the architecture for eventdriven Emergency Operation Center with Machine Vision Component. Sources of information are analyzed and approaches to machine vision events for tactical situations detection and estimation are discussed. Messages from Machine Vision Components are converted to Common Alerting Protocol and processed by Operation Center environment for tactical situations recognition. ...
Added: June 26, 2026
Dudakov S., Вестник Тверского государственного университета. Серия: Прикладная математика 2024 № 2 С. 27–38
In our previous works, we have proved for various associative algebras that the finite subsets theory allows to interpret elementary arithmetic, in particular, such theory is undecidable. For example, this is proved for all infinite Abelian groups. A natural question arises: can we generalize this result to a wider class of algebras, for example, all ...
Added: March 18, 2026
Благовещенская Е. А., Павлова Н. Г., Гарбарук В. В. et al., Международная конференция по мягким вычислениям и измерениям 2018 Т. 1 С. 684–686
Abelian torsion-free groups, being one of the primary algebraic structures, admit an algorithmic approach to the study of their various direct decompositions. The graphs used are of the line-parallel form and they are applicable to parallelization problems. ...
Added: January 13, 2026
Благовещенская Е. А., Гарбарук В. В., Кузнецова И. В. et al., , in: IEEE International Conference on Electrical Engineering and Photonics (EExPolytech).: St. Petersburg: IEEE, 2021. P. 128–131.
Added: January 13, 2026
Благовещенская Е. А., Филимонов А. В., Трифонов А. Е., Journal of Mathematical Sciences 2021 Vol. 259 No. 4 P. 394–402
Added: January 13, 2026
Карпов В. Е., Speranski S. O., Математические заметки 2025 Т. 118 № 1 С. 77–90
Строится $\Sigma_1$-интерпретация класса BiG-fin всех конечных двудольных графов в классе 2Eq-fin всех пар отношений эквивалентности на общем конечном носителе; это даёт наследственную неразрешимость $\Sigma_2$-теории 2Eq-fin. Далее, строится $\Sigma_1$-интерпретация 2Eq-fin в классе LEq-fin всех пар, состоящих из линейного порядка и отношения эквивалентности на общем конечном носителе; это даёт наследственную неразрешимость $\Sigma_2$-теории LEq-fin. Полученные результаты являются в известном ...
Added: December 26, 2025
Гугнин Д. В., Алгебра и анализ 2025 Т. 37 № 6 С. 90–99
В работе В. М. Бухштабера, А. П. Веселова и А. А. Гайфуллина 2022 года была получена практически полная классификация инволютивных коммутативных двузначных групп. В работе А. А. Гайфуллина 2024 года была доказана автоматическая коммутативность произвольной инволютивной двузначной группы. Единственный вопрос о классификации инволютивных двузначных групп, который оставался открытым после этих публикаций, заключается в следующем: Верно ли, что если две ...
Added: November 13, 2025
Loginov K., Zhang Z., Pinardin A., / Series arXiv "math". 2025.
We study finite abelian groups acting on three-dimensional rationally connected varieties. We concentrate on the groups of K3 type, that is, abelian extensions by a cyclic group of groups that faithfully act on a K3 surface. In particular, if a finite abelian group faithfully acts on a threefold preserving a K3 surface (with at worst ...
Added: September 27, 2025
Хрыстик М. А., Сибирские электронные математические известия 2024 Т. 21 № 2 С. 1132–1144
In this paper, the length of the group algebra of the direct product of a cyclic group and an elementary abelian p-group over a eld of characteristic p is calculated. ...
Added: December 11, 2024
Хрыстик М. А., Записки научных семинаров ПОМИ РАН 2023 Т. 524 С. 166–176
конечномерные алгебры, длина алгебры, групповые алгебры, абелевы группы, $p$-группы [finite-dimensional algebras, length of an algebra, group algebras, abelian groups, $p$-groups] ...
Added: November 29, 2023
Sergey Mikhailovich Dudakov, Mathematics 2022 Vol. 10 No. 3 Article 533
Let M be a commutative cancellative monoid with an element of infinite order. The binary operation can be extended to all finite subsets of M by the
pointwise definition. So, we can consider the theory of finite subsets of M. Earlier, we have proved the following result: in the theory of finite subsets of M elementary ...
Added: November 12, 2023
Zapryagaev A., / Series arXiv "math". 2023.
Büchi arithmetics BA_n, n≥2, are extensions of Presburger arithmetic with an unary functional symbol V_n(x) denoting the largest power of n that divides x. A rank of a linear order is the minimal number of condensations required to reach a finite order. We show that linear orders of arbitrarily large finite rank can be interpreted in BA_n. We also prove that the extension ...
Added: October 25, 2023
Zapryagaev A., / Series arXiv "math". 2022.
Büchi arithmetics BA_n, n >= 2, are extensions of Presburger arithmetic with an unary functional symbol V_n(x) denoting the largest power of n that divides x. Definability of a set in BA_n is equivalent to its recognizability by a finite automaton receiving numbers in their n-ary expansion. We show that Büchi arithmetics BA_n and BA_m ...
Added: December 5, 2022
Zorile Dorina D., Тенденции развития науки и образования 2021 Т. 75 № 3 С. 37–42
The article deals with the involving into the history of law the methodology of a new branch - jurislinguistics and of a traditional one - comparativistics, wich supply methdological approaches to the historical investigations. The features of its implementation in order to acheave a correct translation of foreign legal texsts and interpretation of their terminology are ...
Added: December 4, 2022
Zapryagaev A., , in: Logical Perspectives 2021 Workshop.: M.: [б.и.], 2021. Ch. 18.
Presburger Arithmetic the true theory of natural numbers with addition. We show that the interpretations of Presburger Arithmetic in itself are definably isomorphic to the trivial one, confirming the conjecture of A. Visser. To prove that, we develop a characterization of linear orderings interpretable in (N, +). We show that all interpretable linear orderings can ...
Added: December 14, 2021