Algorithm and tools for constructing canonical forms of linear semi-algebraic formulas / Lvov, / Peschanenko, / Letychevskyi, / Tarasich, / Baiev. (2018)
Ukrainian

English  Cybernetics and Systems Analysis   /     Issue (2018, 54 (6))

Lvov M., Peschanenko V., Letychevskyi O., Tarasich Y., Baiev A.
Algorithm and tools for constructing canonical forms of linear semi-algebraic formulas

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. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords: algebraic programming, canonical form, linear semialgebraic formula, software verification, system of linear inequalities, Verification, Algebraic formulas, Canonical form, linear semialgebraic formula, Software verification, System of linear inequalities, Useful properties, Algebra


Cite:
Lvov M., Peschanenko V., Letychevskyi O., Tarasich Y., Baiev A. (2018). Algorithm and tools for constructing canonical forms of linear semi-algebraic formulas. Cybernetics and Systems Analysis, 54 (6), 159-169. doi: https://doi.org/10.1007/s10559-018-0102-4 http://jnas.nbuv.gov.ua/article/UJRN-0000926962 [In Russian].


 

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