Difference between revisions of "ApCoCoA-1:SAT.ConvertToXOR"
From ApCoCoAWiki
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Revision as of 12:14, 12 October 2009
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.
Note: XOR-CNF files are only applicable with CryptoMiniSat!
Syntax
SAT.ConvertToXOR(SPE:LIST, QStrategy:INT)
Description
This function starts an alternative conversion algorithm.
@param SPE: A List containing the polynomial equations of the system.
@param QStrategy: Strategy for quadratic substitution. 0 - Standard; 1 - Linear Partner; 2 - Adv. Lin. Partner;
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); 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); SAT.LaunchCryptoMiniSat("sat_xor.cnf"); SAT.GetResult(); --Result: [0,0,1] Test with: Eval(SPE,[0,0,1]);