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An algebraic model of the subsystem for the computer generation of elimination operation

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A brief analysis of the known methods of non-algebraic and algebraic descriptions of algorithms has been presented. The features of the elimination operation being a term of the algorithm algebra have been shown. An algebraic model of the computer generation of the elimination operation has been synthesized by means of the algorithm algebra. The model has been implemented with the help of software on the platform Microsoft Visual Studio.NET. The models of subsystem as a graph and a diagram of sequences have been designed as well.
Wydawca
Rocznik
Strony
48--52
Opis fizyczny
Bibliogr. 26 poz., rys., wzory
Twórcy
autor
  • Kielce University of Technology, 7 Tysiaclecia Panstwa Polskiego Av., 25-314 Kielce, Poland
  • Ukrainian Academy of Printing, 19 Pid Holoskom St., 79-020 Lviv, Ukraine
autor
  • National University of Culture and Arts, 5 Shuchevitsha St., 79-020 Lviv, Ukraine
autor
  • Ukrainian Academy of Printing, 19 Pid Holoskom St., 79-020 Lviv, Ukraine
autor
  • Ukrainian Academy of Printing, 19 Pid Holoskom St., 79-020 Lviv, Ukraine
Bibliografia
  • [1] Kleene S. C.: Origins of Recursive Function Theory. Annals of the Theory of Computing. 1981, vol. 3, no. 1, pp. 52-67.
  • [2] Church A.: An Unsolvable Problem of Elementary Number Theory. American Journal of Mathematics, 1936, vol. 58, pp. 345-363.
  • [3] Turing A. M.: On Computable Numbers, with an Application to the Entscheidungsproblem. Proc. of LMS, 1936, ser. 2, vol. 42, no. 3, 4, pp. 230-265.
  • [4] Post E. L.: Finite Combinatory Processes – Formulation I. JSL, 1936, vol. 1, no. 3, pp. 103-105.
  • [5] Kolmogorov A. N.: On the Definition of Algorithm (in Russian). Uspekhi Mat. Nauk, 1958, vol. 13:4, pp. 3-28 (translated into English in AMS Translations 29, pp. 217-245, 1963).
  • [6] Schönhage A.: Storage Modification Machines. SIAM Journal on computing, 1980, vol. 9, no. 3, pp. 490-508.
  • [7] Aho A. V., Hopcroft J. E., Ullman J. D.: The Design and Analysis of Computer algorithms. Addison-Wesley Publishing Company, 1974.
  • [8] Markov A. A., Nagorny N. M.: The Theory of Algorithms (Mathematics and its Applications), 2001, Springer.
  • [9] Krinitski N. A.: Algorithms around Us. Moscow, Nauka, 223 p. (in Russian), 1984.
  • [10] Glushkov V.: Automata Theory and Formal Transformations of Microprograms. Cybernetics, 1965, no. 5, pp. 1-9 (in Russian).
  • [11] Glushkow W. M., Zeitlin G. E., Justchenko J. L.: Algebra. Sprachen. Programmierung. Berlin: Akademie-Verlag, 1980, 340 p.
  • [12] Zeitlin G. E.: The Algebraic Algorithmics: The Theory and Applications. Cybernetics and Systems Analysis, 2003, no. 1, pp. 8-18 (in Russian).
  • [13] Zeitlin G. E. Elements of Algebraic Algorithmics and Algorithmic Oriented Synthesis of Parallel Programs. Mathematical Machines and Systems, 2003, no. 2, pp. 56-67 (in Russian).
  • [14] Pogorilyy S. D.: A Conception for Creating a System of Parametric Design for Parallel Algorithms and Their Software Implementations. Cybernetics and System Analysis, 2009, vol. 45, no. 6, pp. 952-958.
  • [15] Redko V. N.: Primitive Program Algebras. Cybernetics, 1984, no. 4, pp. 1–7 (in Russian).
  • [16] Redko V. N.: Primitive Program Algebras of Functions of Rational Arguments and Values. Reports of the Academy of Sciences of the USSR. Ser. A. Physical and mathematical and engineering sciences, 1986, no. 6, pp. 65-67 (in Russian).
  • [17] Redko V. N.: Primitive Program Algebras of Integer and Lexical Functions. Reports of the Academy of Sciences of the USSR. Ser. A. Physical and mathematical and engineering sciences, 1984, no. 10, pp. 69-71 (in Russian).
  • [18] Redko V. N.: Primitive Program Algebras of Functions, which Arguments and Values are Vectors, Relations and Matrix. Reports of the Academy of Sciences of the USSR. Ser. A. Physical and mathematical and engineering sciences, 1987, no. 7, pp. 3-5 (in Russian).
  • [19] Redko V. N.: Primitive Program Algebras of Computable Functions. Cybernetics, 1987, no. 3, pp. 68-74 (in Russian).
  • [20] Gubskiy B. V.: Primitive Program Algebras of Computable Functions and Predicates on Relations and Tables in the Final and Countable Alphabets. Reports of the Academy of Sciences of the USSR. Ser. A. Physical and mathematical and engineering sciences, 1988, no. 10, 78-79 (in Russian).
  • [21] Ovsyak V. K.: The Tools for Equivalent Transformations of Algorithms of Information-Technology Systems. Reports of National Academy of Ukraine, 1996, no. 9, pp. 83-89 (in Ukrainian).
  • [22] Owsiak W.: Rozszerzenie algebry algorytmów. Pomiary, Automatyka, Kontrola, 2010, no. 2, pp. 184-188.
  • [23] Owsiak A.: Algebraic Models of Subsystems of Abstract System with the User Interface. Pomiary, Automatyka, Kontrola, 2013, no. 11, pp. 1179-1182.
  • [24] Nagel C., Evjev B., Glynn J., Watson K., Skinner M.: C# 2012 and .NET 4.5. 2013, Wiley Publishing, Inc.
  • [25] Powers L., Snell M.: Microsoft Visual Studio 2010. 2011.
  • [26] Ovsyak V.: A sequential method for the synthesis of formulae of algorithms. Measurement Automation Monitoring, Jan. 2015, vol. 61, no. 01, pp. 21-23.
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-da8fdea1-503a-4c99-8b46-d4a5fc1e9ccb
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