v. 1. Recursive model theory -- v. 2. Recursive algebra, analysis and combinatorics.

The theory of constructive (recursive) models follows from works of Froehlich, Shepherdson, Mal'tsev, Kuznetsov, Rabin, and Vaught in the 50s. Within the framework of this theory, algorithmic properties of abstract models are investigated by constructing representations on the set of natural numbers and studying relations between algorithmic and structural properties of these models. This book is a very readable exposition of the modern theory of constructive models and describes methods and approaches developed by representatives of the Siberian school of algebra (...) and logic and some other researchers (in particular, Nerode and his colleagues). The main themes are the existence of recursive models and applications to fields, algebras, and ordered sets (Ershov), the existence of decidable prime models (Goncharov, Harrington), the existence of decidable saturated models (Morley), the existence of decidable homogeneous models (Goncharov and Peretyat'kin), properties of the Ehrenfeucht theories (Millar, Ash, and Reed), the theory of algorithmic dimension and conditions of autostability (Goncharov, Ash, Shore, Khusainov, Ventsov, and others), and the theory of computable classes of models with various properties. Future perspectives of the theory of constructive models are also discussed. Most of the results in the book are presented in monograph form for the first time. The theory of constructive models serves as a basis for recursive mathematics. It is also useful in computer science, in particular, in the study of programming languages, higher level languages of specification, abstract data types, and problems of synthesis and verification of programs. Therefore, the book will be useful for not only specialists in mathematical logic and the theory of algorithms but also for scientists interested in the mathematical fundamentals of computer science. The authors are eminent specialists in mathematical logic. They have established fundamental results on elementary theories, model theory, the theory of algorithms, field theory, group theory, applied logic, computable numberings, the theory of constructive models, and the theoretical computer science. (shrink)

Iurii Kovalenko.Orthodox theological understanding of church-state relations in Ukraine at the time of development of Media and Information Technology. The author, who for many years was the press-secretary to the Primate of the Ukrainian Orthodox Church, considers continuity UOC position on the principles of church-state relations and their genesis in accordance with the socio-political processes taking place in Ukraine, the development of media and information technology.

In this research, author analyzes and interprets data of sociological researches of the Razumkov Centre concerning the religious self-identification of Ukrainian citizens, their attitude towards the Church in general and towards the denominations and religions presented in Ukraine in the dynamics from the year 2000 to nowadays. The author also considers external and internal outlook trends and shows a dangerous contradiction between them. As an alternative to solve this conflict, the author suggests the idea of Open Orthodoxy and presents an (...) example of its implementation in projects of the Open Orthodox University of Saint Sophia the Wisdom. (shrink)

In the resolution of the Central Committee of the CPSU entitled "On the Periodical Kommunist," the study of the dialectics of the forces and relations of production is assigned to the sphere of economics. It is no accident that the question is posed in this way. Today, under conditions of restructuring, a concrete analysis of the economic connections, contradictions, and interactions of socialist society and of the real forms of manifestation of economic relations is more important than ever. The [current] (...) criticism of erroneous views, widespread in their time, about the exceptional character of the economic system of socialism that made it possible to "constitute" productive relations through the "creative force of the economic plan," is especially timely and substantive. However, a more general sociophilosophical study of the dialectics of the forces and relations of production is also necessary. Lenin's words have never lost their vital force: we cannot take up "particular questions without first solving the general question. …"' It is from these general sociophilosophical positions that we shall be examining some aspects of this topic that we think important. (shrink)

The subject of this research is the period of Russian symphonic music of the 1960s. A new generation of composers – the “Sixtiers” – introduced a fresh modern musical language and remarkable artistic achievements. In first part of the article, the author dwell on several fundamental symphonic works by R. Shchedrin, S. Slonimsky, E. Denisov, Y. Falik, N. Karetnikov, as well gives general characteristics to this period. The second part of the article examines the compositions by A. Schnittke and L. (...) Prigozhin. Special attention is turned to the Symphony No.3 by Boris Tishchenko, who opens new stylistic horizons and encompasses the key trends of modern music, including the avant-garde, into his stylistic orbit. This article is first to consider B. Tishchenko's outstanding Symphony No.3 in the context of stylistic and linguistic innovations of the 1960s, which defines the scientific novelty. Analysis is conducted on the role and place of the youngest composer of the “Sixtiers” B. Tishchenko in the struggle for the “new music”. The conclusion is made that Tishchenko was one of the leaders in revival of the Russian music of the late XX century, and his Symphony No.3 reflects the pursuits of the postwar generation of Soviet composers to the fullest. (shrink)

The subject of the study is the period of Russian symphonic music of the 1960s. A new generation of "sixties" composers has entered the Soviet music scene, imperiously declaring themselves with bright creative achievements, fresh and modern musical language. The epoch of the turning point dictated a new reality, required new artistic thinking, generated diverse creative ideas. The panorama of Russian music was quite colorful, many things in art appeared and disappeared very rapidly, stylistic pluralism, lost at the dawn of (...) Soviet power, returned to the music scene. Special attention is paid to the works of composers of the Leningrad school — S. Slonimsky, Y. Falik, L. Prigozhin and V. Gavrilin. All of them opened new stylistic horizons and absorbed into their sound orbit the main trends of modern music, including the conquests of the Western avant-garde.  The scientific novelty of the work consists in the fact that the author examines the bright and original works of young Leningrad authors in the context of stylistic and linguistic innovations of the 1960s. The article analyzes the role and place of "Sixties" composers in the struggle for "new music". The main conclusion of the article is the idea that the period of musical renewal of the 1960s under consideration turned out to be extremely saturated with the most complex and diverse problems: ideological, general aesthetic, musical style. S. Slonimsky, Y. Falik, L. Prigozhin, V. Gavrilin became undisputed leaders in the renewal of Russian music of the second half of the twentieth century, and their works-"symbols" fully reflected the intense search of the post-war generation of Soviet composers. (shrink)

The subject of this research is the period of Soviet music in the 1960s. A new generation of the composers – the “Sixtiers” – came upon the stage, demonstrating remarkable artistic achievements, fresh and modern musical language. This article is dedicated to the symphonic work of the prominent Russian composer of the late XX century Boris Ivanovich Tishchenko. Particular attention is given to the Symphony No.1, which he created at the age of 22. Tishchenko burst into the Soviet musical space (...) with creative fervor, and asserted himself as a tremendous and unique talent. His extemporaneous music pieces kept pace with the time, in unison with the global changes that took place in Russian symphonism. The scientific novelty lies in consideration of B. Tishchenko’s Symphony No.1 in context of stylistic and linguistic innovations of the 1960s. Detailed analysis is conducted on the role and place of Tishchenko — the youngest of the generation of “Sixtiers” – in the struggle for "new music". The main conclusion lies in the thought that Tishchenko was one of the leaders in the renewal of Russian music in the late XX century, and Symphony No.1 of his early period fully reflected the intense pursuits of the post-war generation of the Soviet composers and opened the path towards the "new shores" in symphonic music of that time. (shrink)

The purpose of the study is to establish a causal relationship of job satisfaction depending on the average number of employees, the level of wages, the number of applications and the time factor. The article deals with the problem of modeling socio-economic satisfaction with the work of employees in the provision of public services. Based on the correlation analysis, linear and nonlinear models of the interrelationships of factors related to this problem are formed. Econometric models have been developed to effectively (...) assess the level of satisfaction of employees in the provision of public services. The scientific novelty lies in the study of new models that are statistically superior to domestic developments in this field of activity. As a result, the most significant factors affecting the level of job satisfaction were identified. (shrink)

The article is focused on studying the philosophical and legal nature of fundamental human rights and freedoms, which are interpreted as natural and inherent in a person from birth. It is shown that the “naturalness” of rights and freedoms is a legal fiction. In reality, natural rights and freedoms have a sociocultural, that is, “artificial” character. They strengthen the achieved level of guarantees of individual freedom and humanity in public relations.

The article deals with the problem of the cyclical nature of socio-historical development. Cyclicity is positioned as a universal feature of social development, making it possible to use the “lessons of history” in forecasting the future. Particular attention is paid to analyzing the causes of chronic disruptions in Russia’s modernization. The specificity of the Russian history cyclical nature is seen in the action of the institutional matrix, which unites authoritarianism and the suppression of private property into a monolithic whole.

The article is devoted to assessing the reasons and meaning of amendments to the Russian Federation Constitution made by the current political regime. The manner in which the amendments were adopted together with their content demonstrates inability of the state and the political system as a whole to govern and rule in accordance with the principles and norms of democracy and law. The concept of “unworthy governing” is used to characterize the existing mechanism of power and management of society in (...) Russia. (shrink)

In this article we study the problem of classifying φ-spaces with a fixed basis subspace. In the first part, this problem is treated in a more general topological context. The second part is devoted to effective φ-spaces.

The purpose of the study is to establish a causal relationship between job satisfaction in the field of education in the Russian Federation, depending on the satisfaction with: working conditions; opportunities for professional growth; remuneration. The article deals with the problem of modeling socio-economic satisfaction with work in the field of education. Based on the correlation analysis, linear and nonlinear models of the interrelationships of factors related to this problem are formed. Econometric models have been developed to effectively assess the (...) level of job satisfaction of employees employed in the field of education. The scientific novelty lies in the study of new models that are statistically superior to domestic developments in this field of activity. As a result, the most significant factors affecting the level of job satisfaction were identified. (shrink)

An increase in the level of strength endurance can be carried out during the period of a special preparatory stage in the annual cycle of training athletes. The present research proposes a periodization of shooters' sports training with the substantiation of the measures taken to develop such a motor quality as strength endurance. The aim of the research is to organize the training process in a way that the development of the motor quality, strength endurance, enhanced performance in shooting. Young (...) men of 13-15 years old engaged in educational training groups of children's and youth sports school on bullet shooting were selected to participate in the experiment. (shrink)