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Об одной полугрупповой модели программ, определяемой при помощи двухленточных автоматов
Научные ведомости Белгородского государственного университета. Серия: История. Политология. Экономика. Информатика. 2010. Т. 14. № 7. С. 94–101.
Zakharov V., Подымов В. В.
Language:
Russian
Dorovskiy A., / Series arXiv "math". 2026.
In this paper the structural stability of generic families of vector fields of the PC-HC class on the two-dimensional sphere is proved. A classification of these families up to moderate equivalence in neighborhoods of their large bifurcation supports is presented, based on such invariants as the configuration and the characteristic set. The realization lemma is proved. ...
Added: May 14, 2026
Taletskii D., / Series arXiv "math". 2026.
A vertex subset of a graph is called a \textit{distance-$k$ independent set} if the distance between any two of its distinct vertices is at least $k + 1$. For all $n,k \geq 1$, we determine the minimum possible number of inclusion-wise maximal distance-$k$ independent sets among all $n$-vertex trees. It equals~$n$ if $n \leq k ...
Added: May 1, 2026
Ovcharenko M., / Series arXiv "math". 2026.
We introduce an explicit class of tempered Laurent polynomials in the sense of Villegas and Doran--Kerr in n⩽4 variables including all Landau--Ginzburg models for smooth Fano threefolds with very ample anticanonical class. We check that it contains Landau--Ginzburg models for various Fano fourfolds which are complete intersections in smooth toric varieties and Grassmannians of planes, ...
Added: April 30, 2026
Derkacheva A., Sakirkina M., Kraev G. et al., /. 2026.
Comprehensive data on natural hazards and their consequences are crucial for effective for risk assessment, adaptation planning, and emergency response. However, many countries face challenges with fragmented, inconsistent, and inaccessible data, particularly regarding local-scale events. To address this data gap in Russia, we developed an end-to-end processing pipeline that scrapes news from various online sources, ...
Added: April 28, 2026
Qin X., Deng Y., Shchur L. et al., / Series arXiv "math". 2026. No. 2603.02962.
We perform a Monte Carlo analysis of the Ising model on many three-dimensional lattices. By means of finite-size scaling we obtain the critical points and determine the scaling dimensions. As expected, the critical exponents agree with the three-dimensional Ising universality class for all models. The irrelevant field, as revealed by the correction-to-scaling amplitudes, appears to ...
Added: April 20, 2026
Pilé I., Deng Y., Shchur L., / Series arXiv "math". 2026. No. 2604.10254.
We investigate the spatial overlap of successive spin configurations in Markov chain Monte Carlo simulations using the local Metropolis algorithm and the Svendsen-Wang and Wolff cluster algorithms. We examine the dynamics of these algorithms for two models in different universality classes: the Ising model and the Potts model with three components. The overlap of two ...
Added: April 20, 2026
Zlotnik Alexander, / Series arXiv "math". 2026. No. 2602.03481v1.
We deal with the global in time weak solutions to the 1D compressible Navier-Stokes system of equations for large discontinuous initial data and nonhomogeneous boundary conditions of three standard types. We prove the Lipschitz-type continuous dependence of the solution $(\eta,u,\theta)$, in a norm slightly stronger than $L^{2,\infty}(Q)\times L^2(Q)\times L^2(Q)$, on the initial data $(\eta^0,u^0,e^0)$ in a ...
Added: April 18, 2026
Medvedev V., / Series arXiv "math". 2026.
We investigate the interplay between the dimension of the space of static potentials and the geometric and topological structure of the underlying static three-manifold. A partial classification of boundaryless static manifolds is obtained in terms of this dimension. We also treat the case of static manifolds with boundary. In particular, we prove that if a ...
Added: April 3, 2026
Gabdullin N., Androsov I., / Series Computer Science "arxiv.org". 2026.
Label prediction in neural networks (NNs) has O(n) complexity proportional to the number of classes. This holds true for classification using fully connected layers and cosine similarity with some set of class prototypes. In this paper we show that if NN latent space (LS) geometry is known and possesses specific properties, label prediction complexity can ...
Added: April 2, 2026
Kolesnikov A., / Series arXiv "math". 2025.
We study Blaschke--Santal{ó}-type inequalities for N>=2 sets (functions) and a special class of cost functions. In particular, we prove new results about reduction of the maximization problem for the Blaschke--Santal{ó}-type functional to homogeneous case (functional inequalities on the sphere) and extend the symmetrization argument to the case of N>2 sets.
We also discuss links to the ...
Added: February 13, 2026
Sorokin K., Beketov M., Онучин А. et al., / arxiv.org. Серия cs.SI "Social and Information Networks ". 2025.
Community detection in complex networks is a fundamental problem, open to new approaches in various scientific settings. We introduce a novel community detection method, based on Ricci flow on graphs. Our technique iteratively updates edge weights (their metric lengths) according to their (combinatorial) Foster version of Ricci curvature computed from effective resistance distance between the ...
Added: January 15, 2026
Malbin D., Вестник арбитражной практики 2023 № 2 С. 20–27
The current legislation establishes the institution of protection of a good faith purchaser where the compensatory nature of the property acquisition by such purchaser is one of the preconditions for protecting. Currently, in judicial practice, an approach has been adopted, according to which property is considered to be acquired for a fee if the alienator ...
Added: July 18, 2023
Kantonistova E., Родионов И. В., Доклады Российской академии наук. Математика, информатика, процессы управления (ранее - Доклады Академии Наук. Математика) 2022 Т. 507 № 1 С. 36–39
We propose a method for testing the hypothesis about the equivalence of the distribution tail of
observed data and a certain distribution tail, which is the analogue of the goodness-of-fit hypothesis for statistics
of extremes. The method is based on a new data transformation moving k largest order statistics of a
sample from the standard uniform distribution U[0,1] ...
Added: July 9, 2023
The symmetric Post Correspondence Problem, and errata for the freeness problem for matrix semigroups
Birget J., Talambutsa A., International Journal of Algebra and Computation 2022 Vol. 32 No. 6 P. 1261–1274
In this paper, we define the symmetric Post Correspondence Problem (PCP) and prove that it is undecidable. As an application, we show that the original proof of undecidability of the freeness problem for 3×3 integer matrix semigroups works for the symmetric PCP, but not for the PCP in general. ...
Added: December 9, 2022
Blank M., Advances in Mathematics 2022 Vol. 406 Article 108529
We study measure-theoretical aspects of torus piecewise isometries.
Not much is known about this type of dynamical systems, except for
the special case of one-dimensional interval exchange mappings. The
last case is fundamentally different from the general situation
in the presence of an invariant measure (Lebesgue measure), which
helps a lot in the analysis. Due to the absence of good ...
Added: June 26, 2022
Sosnin A., Balakina Y. V., Кащихин А. Н., Вестник Санкт-Петербургского университета. Язык и литература 2022 Т. 19 № 1 С. 125–148
The article evaluates the quality of translation; we consider the applied and pragmatic aspects
of such evaluation in the conditions of the current rapid increase in the number of texts to be
translated. The article summarizes a plethora of assessment principles, each having its merits
and drawbacks, and examines the correlation between the categories of adequacy and equivalence
as ...
Added: May 31, 2022
V. Kruglov, O. Pochinka, G. Talanova, Proceedings of the International Geometry Center 2020 Vol. 13 No. 1 P. 49–60
Currently, a complete topological classification has been obtained with respect to the topological equivalence of Morse-Smale flows, [9,7], as well as their generalizations of Ω-stable flows on closed surfaces, [4]. Some results on topological conjugacy classification for such systems are also known. In particular, the coincidence of the classes of topological equivalence and conjugacy of ...
Added: June 28, 2020
Zakharov V., В кн.: Дискретные модели в теории управляющих систем: Х Международная конференция, Москва и Подмосковье, 23-25 мая 2018 г. : Труды.: МГУ, МАКС Пресс, 2018. С. 128–130.
It is shown how the verification of the equivalence of two-tape deterministic automata can be reduced to the problem of checking the equivalence of weakly nondeterministic finite automata-transformers working on the semigroup of prefix regular languages with the concatenation operation. ...
Added: June 14, 2018
Petrenko A. K., Khoroshilov A. V., В кн.: Actual Problems of System and Software Engineering 2017. Proceedings of the 5th International Conference on Actual Problems of System and Software Engineering Supported by Russian Foundation for Basic Research. Project #17-07-20565 Moscow, Russia, November 14-16, 2017, 408 P.Vol. 1989.: Aachen: CEUR Workshop Proceedings, 2017. С. 202–208.
The paper examines the functional requirements and the basic architecture of the tools supporting model-oriented techniques for design of safety critical software/hardware systems. The best practices of development such systems are described in international standards like ARP-4754, ARP-4761, and DO-178. The proposed approach is built around architecture models expressed in AADL language and its extensions. ...
Added: March 22, 2018
Подымов В. В., Молчанов А. Э., В кн.: Материалы XVIII международной конференции "Проблемы теоретической кибернетики" (Пенза, 19-23 июня 2017 г.).: М.: МАКС Пресс, 2017. С. 174–176.
Проблема эквивалентности программ формулируется так: выяснить, имеют ли две программы схожие (эквивалентные) поведения. Известен алгоритм полиномиального сведения проблемы эквивалентности в перегородчатых моделях программ с процедурами к двум проблемам в моделях программ без процедур с той же семантикой программных операторов: эквивалентности и совместного останова. Проблема совместного останова формулируется так: выяснить, существует ли общий контекст работы программ, ...
Added: October 22, 2017
Zakharov V., Жайлауова Ш. Р., В кн.: Проблемы теоретической кибернетики: XVIII международная конференция (Пенза, 19-23 июня 2017 г.).: М.: МГУ, МАКС Пресс, 2017. С. 84–87.
Эффективная разрешимость проблемы л-т эквивалентности дает возможность приступить к решению задачи минимизации - построения схемы программ наименьшего размера, л-т эквивалентной заданной схеме. Чтобы отыскать ее решение, заметим, что модель вычислений стандартных схем программ сходна модели вычислений автоматов-преобразователей, работающих над полугруппами. Ранее был предложен метод минимизации автоматов-преобра\-зо\-вателей, работающих над упорядоченными левосократимыми полугруппами. В данной заметке мы ...
Added: October 22, 2017
Zakharov V., Жайлауова Ш. Р., Моделирование и анализ информационных систем 2017 Т. 24 № 4 С. 415–433
rst-order program schemata is one of the simplest models of sequential imperative
programs intended for solving veri cation and optimization problems. We consider the decidable rela tion of logical-thermal equivalence of these schemata and the problem of their size minimization while
preserving logical-thermal equivalence. We prove that this problem is decidable. Further we show that
the rst-order program schemata supplied ...
Added: October 12, 2017
Zakharov V., Темербекова Г. Г., Моделирование и анализ информационных систем 2016 Т. 23 № 6 С. 741–753
Finite state transducers over semigroups are regarded as a formal model of sequential reactive programs that operate in the interaction with the environment. At receiving a piece of data a program performs a sequence of actions and displays the current result. Such programs usually arise at implementation of computer drivers, on-line algorithms, control procedures. In ...
Added: October 13, 2016
Zakharov V., Джусупекова З., В кн.: Материалы XII Международного семинара "Дискретная математика и её приложения" имени академика О.Б. Лупанова (Москва, МГУ, 20-25 июня 2016г.).: М.: Изд-во механико-математического факультета МГУ, 2016. С. 190–192.
Автоматы-преобразователи в качестве модели последовательных реагирующих программы используются в системном программировании, в компьютерной лингвистике, в криптографии, при проектировании микроэлектронных схем и др. Преобразователь принимает на входе последовательность сигналов и выполняет некоторую последовательность действий, преобразуя тем самым конечные слова входного алфавита в полугрупповое выражение, значения которых и являются результатами вычислений.
Мы рассматриваем автоматы-преобразователи над произвольной полугруппой $S$, ...
Added: October 13, 2016