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Algorithm and Tools for Constructing Canonical Forms of Linear Semi-Algebraic Formulas

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Cybernetics and Systems Analysis Aims and scope

Abstract

The results of testing formula simplification tools are presented in the first part of this paper. In the second part, an algorithm for constructing canonical forms of linear semi-algebraic formulas is described. The main result of the study is the definition of the canonical form of a linear semi-algebraic formula that has the property of uniqueness and other useful properties. An algorithm for constructing such a formula is described.

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Authors and Affiliations

  1. Kherson State University, Kherson, Ukraine

    M. Lvov, V. Peschanenko, Y. Tarasich & A. Baiev

  2. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    O. Letychevskyi

Authors
  1. M. Lvov
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  2. V. Peschanenko
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  3. O. Letychevskyi
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  4. Y. Tarasich
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  5. A. Baiev
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Corresponding author

Correspondence to M. Lvov.

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 6, November–December, 2018, pp. 159–169.

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Lvov, M., Peschanenko, V., Letychevskyi, O. et al. Algorithm and Tools for Constructing Canonical Forms of Linear Semi-Algebraic Formulas. Cybern Syst Anal 54, 993–1002 (2018). https://doi.org/10.1007/s10559-018-0102-4

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  • DOI: https://doi.org/10.1007/s10559-018-0102-4

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