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11 votes

Gröbner basis for Sudoku

Here is a Singular Code that works quite well: ring A = 0,(t,x(1..9)),lp; /* Characteristic 0 works suprisingly well for this problem. */ /* We choose a lexicographic ordering since we will compute a …
Markus Schweighofer's user avatar
6 votes

Can Gröbner bases be used to compute solutions to large, real-world problems?

Concerning your questions 1 and 4, you should also have a look at border bases: http://www.risc.jku.at/Groebner-Bases-Bibliography/gbbib_files/publication_1140.pdf
Markus Schweighofer's user avatar