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SAT.ConvertToXOR

Converts a given quadratic (cubic) system of polynomial equations (SPE) over GF(2) to XOR-CNF. Writes the XOR-CNF to the file sat_xor.cnf.
Syntax
          
SAT.ConvertToXOR(SPE:LIST, QStrategy:INT, CStrategy:INT)

          

Description
Note: XOR-CNF files are only applicable with CryptoMiniSat!

This function starts an alternative conversion algorithm.

Example
-- quadratic system:
Use R::=ZZ/(2)[x[1..3]];
F1:= x[1]x[2] + x[1]x[3] + x[2]x[3] + x[3];
F2:= x[2] + 1;
F3:= x[1]x[2] + x[3];
SPE:=[F1,F2,F3]; 
SAT.ConvertToXOR(SPE,0,0);
SAT.LaunchCryptoMiniSat("sat_xor.cnf");
SAT.GetResult();
--Result: [0,1,0] Test with: Eval(SPE,[0,1,0]);


Example
-- cubic system:
Use ZZ/(2)[x[1..3]];
F1:=x[1]x[2]x[3] + x[1]x[2] + x[2]x[3] + x[1] + x[3] +1;
F2:=x[1]x[2]x[3] + x[1]x[2] + x[2]x[3] + x[1] + x[2];
F3:=x[1]x[2] + x[2]x[3] + x[2];
SPE:=[F1,F2,F3];
SAT.ConvertToXOR(SPE,0,0);
SAT.LaunchCryptoMiniSat("sat_xor.cnf");
SAT.GetResult();
--Result: [0,0,1] Test with: Eval(SPE,[0,0,1]);