Algorithm and tools for constructing canonical forms of linear semi-algebraic formulas. (English. Russian original) Zbl 1486.68257
Cybern. Syst. Anal. 54, No. 6, 993-1002 (2018); translation from Kibern. Sist. Anal. 2018, No. 6, 159-169 (2018).
Summary: 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.
MSC:
| 68W30 | Symbolic computation and algebraic computation |
Keywords:
system of linear inequalities; algebraic programming; software verification; canonical form; linear semialgebraic formulaSoftware:
E Theorem Prover; CVC4; Gandalf; MathSAT5; MiniZinc; GitHub; Satallax; SMTInterpol; STP; Paradox; SINGULAR; VAMPIRE; QEPCAD; LEO-II; REDLOG; CoCoA; Isabelle; z3References:
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