In 5, we showed simple algorithms to compute comprehensive Gröbner systems (CGS) and comprehensive Gröbner bases (CGB). We call them Suzuki-Sato algorithms in this paper. Other known existing software packages to compute CGS or CGB are CGB of Redlog (Weispfenning) 1, DISPGB, and MCCGS (Montes) 2, 3.
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