Difference between revisions of "ApCoCoA-1:SAT.ConvertToXOR"

From ApCoCoAWiki
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<command>
 
<command>
 
     <title>SAT.ConvertToXOR</title>
 
     <title>SAT.ConvertToXOR</title>
     <short_description>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".
+
     <short_description>Converts a given quadratic (cubic) system of polynomial equations (SPE) over GF(2) to XOR-CNF. Writes the XOR-CNF to the file <quotes>sat_xor.cnf</quotes>.
 
 
<em>Note:</em> XOR-CNF files are only applicable with CryptoMiniSat!
 
 
</short_description>
 
</short_description>
 
<syntax>
 
<syntax>
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</syntax>
 
</syntax>
 
     <description>
 
     <description>
 +
<em>Note:</em> XOR-CNF files are only applicable with CryptoMiniSat!
 +
<par/>
 
This function starts an alternative conversion algorithm.
 
This function starts an alternative conversion algorithm.
  
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SPE:=[F1,F2,F3];  
 
SPE:=[F1,F2,F3];  
 
SAT.ConvertToXOR(SPE,0);
 
SAT.ConvertToXOR(SPE,0);
SAT.LaunchCryptoMiniSat("sat_xor.cnf");
+
SAT.LaunchCryptoMiniSat(<quotes>sat_xor.cnf</quotes>);
 
SAT.GetResult();
 
SAT.GetResult();
 
--Result: [0,1,0] Test with: Eval(SPE,[0,1,0]);
 
--Result: [0,1,0] Test with: Eval(SPE,[0,1,0]);
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SPE:=[F1,F2,F3];
 
SPE:=[F1,F2,F3];
 
SAT.ConvertToXOR(SPE,0);
 
SAT.ConvertToXOR(SPE,0);
SAT.LaunchCryptoMiniSat("sat_xor.cnf");
+
SAT.LaunchCryptoMiniSat(<quotes>sat_xor.cnf</quotes>);
 
SAT.GetResult();
 
SAT.GetResult();
 
--Result: [0,0,1] Test with: Eval(SPE,[0,0,1]);
 
--Result: [0,0,1] Test with: Eval(SPE,[0,0,1]);

Revision as of 11:48, 15 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".

Syntax

SAT.ConvertToXOR(SPE:LIST, QStrategy:INT)

Description

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

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(<quotes>sat_xor.cnf</quotes>);
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(<quotes>sat_xor.cnf</quotes>);
SAT.GetResult();
--Result: [0,0,1] Test with: Eval(SPE,[0,0,1]);